Graphical Representation of Data

Graphical representation of data is an attractive method of showcasing numerical data that help in analyzing and representing quantitative data visually. A graph is a kind of a chart where data are plotted as variables across the coordinate. It became easy to analyze the extent of change of one variable based on the change of other variables. Graphical representation of data is done through different mediums such as lines, plots, diagrams, etc. Let us learn more about this interesting concept of graphical representation of data, the different types, and solve a few examples.

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Definition of Graphical Representation of Data

A graphical representation is a visual representation of data statistics-based results using graphs, plots, and charts. This kind of representation is more effective in understanding and comparing data than seen in a tabular form. Graphical representation helps to qualify, sort, and present data in a method that is simple to understand for a larger audience. Graphs enable in studying the cause and effect relationship between two variables through both time series and frequency distribution. The data that is obtained from different surveying is infused into a graphical representation by the use of some symbols, such as lines on a line graph, bars on a bar chart, or slices of a pie chart. This visual representation helps in clarity, comparison, and understanding of numerical data.

Representation of Data

The word data is from the Latin word Datum, which means something given. The numerical figures collected through a survey are called data and can be represented in two forms - tabular form and visual form through graphs. Once the data is collected through constant observations, it is arranged, summarized, and classified to finally represented in the form of a graph. There are two kinds of data - quantitative and qualitative. Quantitative data is more structured, continuous, and discrete with statistical data whereas qualitative is unstructured where the data cannot be analyzed.

Principles of Graphical Representation of Data

The principles of graphical representation are algebraic. In a graph, there are two lines known as Axis or Coordinate axis. These are the X-axis and Y-axis. The horizontal axis is the X-axis and the vertical axis is the Y-axis. They are perpendicular to each other and intersect at O or point of Origin. On the right side of the Origin, the Xaxis has a positive value and on the left side, it has a negative value. In the same way, the upper side of the Origin Y-axis has a positive value where the down one is with a negative value. When -axis and y-axis intersect each other at the origin it divides the plane into four parts which are called Quadrant I, Quadrant II, Quadrant III, Quadrant IV. This form of representation is seen in a frequency distribution that is represented in four methods, namely Histogram, Smoothed frequency graph, Pie diagram or Pie chart, Cumulative or ogive frequency graph, and Frequency Polygon.

Principle of Graphical Representation of Data

Advantages and Disadvantages of Graphical Representation of Data

Listed below are some advantages and disadvantages of using a graphical representation of data:

  • It improves the way of analyzing and learning as the graphical representation makes the data easy to understand.
  • It can be used in almost all fields from mathematics to physics to psychology and so on.
  • It is easy to understand for its visual impacts.
  • It shows the whole and huge data in an instance.
  • It is mainly used in statistics to determine the mean, median, and mode for different data

The main disadvantage of graphical representation of data is that it takes a lot of effort as well as resources to find the most appropriate data and then represent it graphically.

Rules of Graphical Representation of Data

While presenting data graphically, there are certain rules that need to be followed. They are listed below:

  • Suitable Title: The title of the graph should be appropriate that indicate the subject of the presentation.
  • Measurement Unit: The measurement unit in the graph should be mentioned.
  • Proper Scale: A proper scale needs to be chosen to represent the data accurately.
  • Index: For better understanding, index the appropriate colors, shades, lines, designs in the graphs.
  • Data Sources: Data should be included wherever it is necessary at the bottom of the graph.
  • Simple: The construction of a graph should be easily understood.
  • Neat: The graph should be visually neat in terms of size and font to read the data accurately.

Uses of Graphical Representation of Data

The main use of a graphical representation of data is understanding and identifying the trends and patterns of the data. It helps in analyzing large quantities, comparing two or more data, making predictions, and building a firm decision. The visual display of data also helps in avoiding confusion and overlapping of any information. Graphs like line graphs and bar graphs, display two or more data clearly for easy comparison. This is important in communicating our findings to others and our understanding and analysis of the data.

Types of Graphical Representation of Data

Data is represented in different types of graphs such as plots, pies, diagrams, etc. They are as follows,

Data Representation Description

A group of data represented with rectangular bars with lengths proportional to the values is a .

The bars can either be vertically or horizontally plotted.

The is a type of graph in which a circle is divided into Sectors where each sector represents a proportion of the whole. Two main formulas used in pie charts are:

The represents the data in a form of series that is connected with a straight line. These series are called markers.

Data shown in the form of pictures is a . Pictorial symbols for words, objects, or phrases can be represented with different numbers.

The is a type of graph where the diagram consists of rectangles, the area is proportional to the frequency of a variable and the width is equal to the class interval. Here is an example of a histogram.

The table in statistics showcases the data in ascending order along with their corresponding frequencies.

The frequency of the data is often represented by f.

The is a way to represent quantitative data according to frequency ranges or frequency distribution. It is a graph that shows numerical data arranged in order. Each data value is broken into a stem and a leaf.

Scatter diagram or is a way of graphical representation by using Cartesian coordinates of two variables. The plot shows the relationship between two variables.

Related Topics

Listed below are a few interesting topics that are related to the graphical representation of data, take a look.

  • x and y graph
  • Frequency Polygon
  • Cumulative Frequency

Examples on Graphical Representation of Data

Example 1 : A pie chart is divided into 3 parts with the angles measuring as 2x, 8x, and 10x respectively. Find the value of x in degrees.

We know, the sum of all angles in a pie chart would give 360º as result. ⇒ 2x + 8x + 10x = 360º ⇒ 20 x = 360º ⇒ x = 360º/20 ⇒ x = 18º Therefore, the value of x is 18º.

Example 2: Ben is trying to read the plot given below. His teacher has given him stem and leaf plot worksheets. Can you help him answer the questions? i) What is the mode of the plot? ii) What is the mean of the plot? iii) Find the range.

Stem Leaf
1 2 4
2 1 5 8
3 2 4 6
5 0 3 4 4
6 2 5 7
8 3 8 9
9 1

Solution: i) Mode is the number that appears often in the data. Leaf 4 occurs twice on the plot against stem 5.

Hence, mode = 54

ii) The sum of all data values is 12 + 14 + 21 + 25 + 28 + 32 + 34 + 36 + 50 + 53 + 54 + 54 + 62 + 65 + 67 + 83 + 88 + 89 + 91 = 958

To find the mean, we have to divide the sum by the total number of values.

Mean = Sum of all data values ÷ 19 = 958 ÷ 19 = 50.42

iii) Range = the highest value - the lowest value = 91 - 12 = 79

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graphical representation of data and information is called

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Practice Questions on Graphical Representation of Data

Faqs on graphical representation of data, what is graphical representation.

Graphical representation is a form of visually displaying data through various methods like graphs, diagrams, charts, and plots. It helps in sorting, visualizing, and presenting data in a clear manner through different types of graphs. Statistics mainly use graphical representation to show data.

What are the Different Types of Graphical Representation?

The different types of graphical representation of data are:

  • Stem and leaf plot
  • Scatter diagrams
  • Frequency Distribution

Is the Graphical Representation of Numerical Data?

Yes, these graphical representations are numerical data that has been accumulated through various surveys and observations. The method of presenting these numerical data is called a chart. There are different kinds of charts such as a pie chart, bar graph, line graph, etc, that help in clearly showcasing the data.

What is the Use of Graphical Representation of Data?

Graphical representation of data is useful in clarifying, interpreting, and analyzing data plotting points and drawing line segments , surfaces, and other geometric forms or symbols.

What are the Ways to Represent Data?

Tables, charts, and graphs are all ways of representing data, and they can be used for two broad purposes. The first is to support the collection, organization, and analysis of data as part of the process of a scientific study.

What is the Objective of Graphical Representation of Data?

The main objective of representing data graphically is to display information visually that helps in understanding the information efficiently, clearly, and accurately. This is important to communicate the findings as well as analyze the data.

  • School Guide
  • Mathematics
  • Number System and Arithmetic
  • Trigonometry
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  • Mensuration
  • Maths Formulas
  • Class 8 Maths Notes
  • Class 9 Maths Notes
  • Class 10 Maths Notes
  • Class 11 Maths Notes
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  • CBSE Class 9 Maths Revision Notes

Chapter 1: Number System

  • Number System in Maths
  • Natural Numbers | Definition, Examples & Properties
  • Whole Numbers - Definition, Properties and Examples
  • Rational Numbers: Definition, Examples, Worksheet
  • Irrational Numbers: Definition, Examples, Symbol, Properties
  • Real Numbers
  • Decimal Expansion of Real Numbers
  • Decimal Expansions of Rational Numbers
  • Representation of Rational Numbers on the Number Line | Class 8 Maths
  • Represent √3 on the number line
  • Operations on Real Numbers
  • Rationalization of Denominators
  • Laws of Exponents for Real Numbers

Chapter 2: Polynomials

  • Polynomials in One Variable | Polynomials Class 9 Maths
  • Polynomial Formula
  • Types of Polynomials (Based on Terms and Degrees)
  • Zeros of Polynomial
  • Factorization of Polynomial
  • Remainder Theorem
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  • Algebraic Identities

Chapter 3: Coordinate Geometry

  • Coordinate Geometry
  • Cartesian Coordinate System
  • Cartesian Plane

Chapter 4: Linear equations in two variables

  • Linear Equations in One Variable
  • Linear Equation in Two Variables
  • Graph of Linear Equations in Two Variables
  • Graphical Methods of Solving Pair of Linear Equations in Two Variables
  • Equations of Lines Parallel to the x-axis and y-axis

Chapter 5: Introduction to Euclid's Geometry

  • Euclidean Geometry
  • Equivalent Version of Euclid’s Fifth Postulate

Chapter 6: Lines and Angles

  • Lines and Angles
  • Types of Angles
  • Pairs of Angles - Lines & Angles
  • Transversal Lines
  • Angle Sum Property of a Triangle

Chapter 7: Triangles

  • Triangles in Geometry
  • Congruence of Triangles |SSS, SAS, ASA, and RHS Rules
  • Theorem - Angle opposite to equal sides of an isosceles triangle are equal | Class 9 Maths
  • Triangle Inequality Theorem, Proof & Applications

Chapter 8: Quadrilateral

  • Angle Sum Property of a Quadrilateral
  • Quadrilateral - Definition, Properties, Types, Formulas, Examples
  • Introduction to Parallelogram: Properties, Types, and Theorem
  • Rhombus: Definition, Properties, Formula and Examples
  • Trapezium in Maths | Formulas, Properties & Examples
  • Square in Maths - Area, Perimeter, Examples & Applications
  • Kite - Quadrilaterals
  • Properties of Parallelograms
  • Mid Point Theorem

Chapter 9: Areas of Parallelograms and Triangles

  • Area of Triangle | Formula and Examples
  • Area of Parallelogram | Definition, Formulas & Examples
  • Figures on the Same Base and between the Same Parallels

Chapter 10: Circles

  • Circles in Maths
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  • Circumference of Circle - Definition, Perimeter Formula, and Examples
  • Angle subtended by an arc at the centre of a circle
  • What is Cyclic Quadrilateral
  • The sum of opposite angles of a cyclic quadrilateral is 180° | Class 9 Maths Theorem

Chapter 11: Construction

  • Basic Constructions - Angle Bisector, Perpendicular Bisector, Angle of 60°
  • Construction of Triangles

Chapter 12: Heron's Formula

  • Area of Equilateral Triangle
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  • Heron's Formula
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  • Area of Quadrilateral
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Chapter 13: Surface Areas and Volumes

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  • Surface Area of Cube | Curved & Total Surface Area
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  • Volume of Cone: Formula, Derivation and Examples
  • Surface Area of Sphere: Formula, Derivation and Solved Examples
  • Volume of a Sphere
  • Surface Area of a Hemisphere
  • Volume of Hemisphere

Chapter 14: Statistics

  • Collection and Presentation of Data

Graphical Representation of Data

  • Bar Graphs and Histograms
  • Central Tendency in Statistics- Mean, Median, Mode
  • Mean, Median and Mode

Chapter 15: Probability

  • Experimental Probability
  • Empirical Probability
  • CBSE Class 9 Maths Formulas
  • NCERT Solutions for Class 9 Maths: Chapter Wise PDF 2024
  • RD Sharma Class 9 Solutions

Graphical Representation of Data: Graphical Representation of Data,” where numbers and facts become lively pictures and colorful diagrams . Instead of staring at boring lists of numbers, we use fun charts, cool graphs, and interesting visuals to understand information better. In this exciting concept of data visualization, we’ll learn about different kinds of graphs, charts, and pictures that help us see patterns and stories hidden in data.

There is an entire branch in mathematics dedicated to dealing with collecting, analyzing, interpreting, and presenting numerical data in visual form in such a way that it becomes easy to understand and the data becomes easy to compare as well, the branch is known as Statistics .

The branch is widely spread and has a plethora of real-life applications such as Business Analytics, demography, Astro statistics, and so on . In this article, we have provided everything about the graphical representation of data, including its types, rules, advantages, etc.

Graphical-Representation-of-Data

Table of Content

What is Graphical Representation

Types of graphical representations, line graphs, histograms , stem and leaf plot , box and whisker plot .

  • Graphical Representations used in Maths

Value-Based or Time Series Graphs 

Frequency based, principles of graphical representations, advantages and disadvantages of using graphical system, general rules for graphical representation of data, frequency polygon, solved examples on graphical representation of data.

Graphics Representation is a way of representing any data in picturized form . It helps a reader to understand the large set of data very easily as it gives us various data patterns in visualized form.

There are two ways of representing data,

  • Pictorial Representation through graphs.

They say, “A picture is worth a thousand words”.  It’s always better to represent data in a graphical format. Even in Practical Evidence and Surveys, scientists have found that the restoration and understanding of any information is better when it is available in the form of visuals as Human beings process data better in visual form than any other form.

Does it increase the ability 2 times or 3 times? The answer is it increases the Power of understanding 60,000 times for a normal Human being, the fact is amusing and true at the same time.

Check: Graph and its representations

Comparison between different items is best shown with graphs, it becomes easier to compare the crux of the data about different items. Let’s look at all the different types of graphical representations briefly: 

A line graph is used to show how the value of a particular variable changes with time. We plot this graph by connecting the points at different values of the variable. It can be useful for analyzing the trends in the data and predicting further trends. 

graphical representation of data and information is called

A bar graph is a type of graphical representation of the data in which bars of uniform width are drawn with equal spacing between them on one axis (x-axis usually), depicting the variable. The values of the variables are represented by the height of the bars. 

graphical representation of data and information is called

This is similar to bar graphs, but it is based frequency of numerical values rather than their actual values. The data is organized into intervals and the bars represent the frequency of the values in that range. That is, it counts how many values of the data lie in a particular range. 

graphical representation of data and information is called

It is a plot that displays data as points and checkmarks above a number line, showing the frequency of the point.  

graphical representation of data and information is called

This is a type of plot in which each value is split into a “leaf”(in most cases, it is the last digit) and “stem”(the other remaining digits). For example: the number 42 is split into leaf (2) and stem (4).  

graphical representation of data and information is called

These plots divide the data into four parts to show their summary. They are more concerned about the spread, average, and median of the data. 

graphical representation of data and information is called

It is a type of graph which represents the data in form of a circular graph. The circle is divided such that each portion represents a proportion of the whole. 

graphical representation of data and information is called

Graphical Representations used in Math’s

Graphs in Math are used to study the relationships between two or more variables that are changing. Statistical data can be summarized in a better way using graphs. There are basically two lines of thoughts of making graphs in maths: 

  • Value-Based or Time Series Graphs

These graphs allow us to study the change of a variable with respect to another variable within a given interval of time. The variables can be anything. Time Series graphs study the change of variable with time. They study the trends, periodic behavior, and patterns in the series. We are more concerned with the values of the variables here rather than the frequency of those values. 

Example: Line Graph

These kinds of graphs are more concerned with the distribution of data. How many values lie between a particular range of the variables, and which range has the maximum frequency of the values. They are used to judge a spread and average and sometimes median of a variable under study.

Also read: Types of Statistical Data
  • All types of graphical representations follow algebraic principles.
  • When plotting a graph, there’s an origin and two axes.
  • The x-axis is horizontal, and the y-axis is vertical.
  • The axes divide the plane into four quadrants.
  • The origin is where the axes intersect.
  • Positive x-values are to the right of the origin; negative x-values are to the left.
  • Positive y-values are above the x-axis; negative y-values are below.

graphical-representation

  • It gives us a summary of the data which is easier to look at and analyze.
  • It saves time.
  • We can compare and study more than one variable at a time.

Disadvantages

  • It usually takes only one aspect of the data and ignores the other. For example, A bar graph does not represent the mean, median, and other statistics of the data. 
  • Interpretation of graphs can vary based on individual perspectives, leading to subjective conclusions.
  • Poorly constructed or misleading visuals can distort data interpretation and lead to incorrect conclusions.
Check : Diagrammatic and Graphic Presentation of Data

We should keep in mind some things while plotting and designing these graphs. The goal should be a better and clear picture of the data. Following things should be kept in mind while plotting the above graphs: 

  • Whenever possible, the data source must be mentioned for the viewer.
  • Always choose the proper colors and font sizes. They should be chosen to keep in mind that the graphs should look neat.
  • The measurement Unit should be mentioned in the top right corner of the graph.
  • The proper scale should be chosen while making the graph, it should be chosen such that the graph looks accurate.
  • Last but not the least, a suitable title should be chosen.

A frequency polygon is a graph that is constructed by joining the midpoint of the intervals. The height of the interval or the bin represents the frequency of the values that lie in that interval. 

frequency-polygon

Question 1: What are different types of frequency-based plots? 

Types of frequency-based plots:  Histogram Frequency Polygon Box Plots

Question 2: A company with an advertising budget of Rs 10,00,00,000 has planned the following expenditure in the different advertising channels such as TV Advertisement, Radio, Facebook, Instagram, and Printed media. The table represents the money spent on different channels. 

Draw a bar graph for the following data. 

  • Put each of the channels on the x-axis
  • The height of the bars is decided by the value of each channel.

graphical representation of data and information is called

Question 3: Draw a line plot for the following data 

  • Put each of the x-axis row value on the x-axis
  • joint the value corresponding to the each value of the x-axis.

graphical representation of data and information is called

Question 4: Make a frequency plot of the following data: 

  • Draw the class intervals on the x-axis and frequencies on the y-axis.
  • Calculate the midpoint of each class interval.
Class Interval Mid Point Frequency
0-3 1.5 3
3-6 4.5 4
6-9 7.5 2
9-12 10.5 6

Now join the mid points of the intervals and their corresponding frequencies on the graph. 

graphical representation of data and information is called

This graph shows both the histogram and frequency polygon for the given distribution.

Related Article:

Graphical Representation of Data| Practical Work in Geography Class 12 What are the different ways of Data Representation What are the different ways of Data Representation? Charts and Graphs for Data Visualization

Conclusion of Graphical Representation

Graphical representation is a powerful tool for understanding data, but it’s essential to be aware of its limitations. While graphs and charts can make information easier to grasp, they can also be subjective, complex, and potentially misleading . By using graphical representations wisely and critically, we can extract valuable insights from data, empowering us to make informed decisions with confidence.

Graphical Representation of Data – FAQs

What are the advantages of using graphs to represent data.

Graphs offer visualization, clarity, and easy comparison of data, aiding in outlier identification and predictive analysis.

What are the common types of graphs used for data representation?

Common graph types include bar, line, pie, histogram, and scatter plots , each suited for different data representations and analysis purposes.

How do you choose the most appropriate type of graph for your data?

Select a graph type based on data type, analysis objective, and audience familiarity to effectively convey information and insights.

How do you create effective labels and titles for graphs?

Use descriptive titles, clear axis labels with units, and legends to ensure the graph communicates information clearly and concisely.

How do you interpret graphs to extract meaningful insights from data?

Interpret graphs by examining trends, identifying outliers, comparing data across categories, and considering the broader context to draw meaningful insights and conclusions.

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What Is Data Visualization: Brief Theory, Useful Tips and Awesome Examples

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What Is Data Visualization Brief Theory, Useful Tips and Awesome Examples

Updated: June 23, 2022

To create data visualization in order to present your data is no longer just a nice to have skill. Now, the skill to effectively sort and communicate your data through charts is a must-have for any business in any field that deals with data. Data visualization helps businesses quickly make sense of complex data and start making decisions based on that data. This is why today we’ll talk about what is data visualization. We’ll discuss how and why does it work, what type of charts to choose in what cases, how to create effective charts, and, of course, end with beautiful examples.

So let’s jump right in. As usual, don’t hesitate to fast-travel to a particular section of your interest.

Article overview: 1. What Does Data Visualization Mean? 2. How Does it Work? 3. When to Use it? 4. Why Use it? 5. Types of Data Visualization 6. Data Visualization VS Infographics: 5 Main Differences 7. How to Create Effective Data Visualization?: 5 Useful Tips 8. Examples of Data Visualization

1. What is Data Visualization?

Data Visualization is a graphic representation of data that aims to communicate numerous heavy data in an efficient way that is easier to grasp and understand . In a way, data visualization is the mapping between the original data and graphic elements that determine how the attributes of these elements vary. The visualization is usually made by the use of charts, lines, or points, bars, and maps.

  • Data Viz is a branch of Descriptive statistics but it requires both design, computer, and statistical skills.
  • Aesthetics and functionality go hand in hand to communicate complex statistics in an intuitive way.
  • Data Viz tools and technologies are essential for making data-driven decisions.
  • It’s a fine balance between form and functionality.
  • Every STEM field benefits from understanding data.

2. How Does it Work?

If we can see it, our brains can internalize and reflect on it. This is why it’s much easier and more effective to make sense of a chart and see trends than to read a massive document that would take a lot of time and focus to rationalize. We wouldn’t want to repeat the cliche that humans are visual creatures, but it’s a fact that visualization is much more effective and comprehensive.

In a way, we can say that data Viz is a form of storytelling with the purpose to help us make decisions based on data. Such data might include:

  • Tracking sales
  • Identifying trends
  • Identifying changes
  • Monitoring goals
  • Monitoring results
  • Combining data

3. When to Use it?

Data visualization is useful for companies that deal with lots of data on a daily basis. It’s essential to have your data and trends instantly visible. Better than scrolling through colossal spreadsheets. When the trends stand out instantly this also helps your clients or viewers to understand them instead of getting lost in the clutter of numbers.

With that being said, Data Viz is suitable for:

  • Annual reports
  • Presentations
  • Social media micronarratives
  • Informational brochures
  • Trend-trafficking
  • Candlestick chart for financial analysis
  • Determining routes

Common cases when data visualization sees use are in sales, marketing, healthcare, science, finances, politics, and logistics.

4. Why Use it?

Short answer: decision making. Data Visualization comes with the undeniable benefits of quickly recognizing patterns and interpret data. More specifically, it is an invaluable tool to determine the following cases.

  • Identifying correlations between the relationship of variables.
  • Getting market insights about audience behavior.
  • Determining value vs risk metrics.
  • Monitoring trends over time.
  • Examining rates and potential through frequency.
  • Ability to react to changes.

5. Types of Data Visualization

As you probably already guessed, Data Viz is much more than simple pie charts and graphs styled in a visually appealing way. The methods that this branch uses to visualize statistics include a series of effective types.

Map visualization is a great method to analyze and display geographically related information and present it accurately via maps. This intuitive way aims to distribute data by region. Since maps can be 2D or 3D, static or dynamic, there are numerous combinations one can use in order to create a Data Viz map.

COVID-19 Spending Data Visualization POGO by George Railean

The most common ones, however, are:

  • Regional Maps: Classic maps that display countries, cities, or districts. They often represent data in different colors for different characteristics in each region.
  • Line Maps: They usually contain space and time and are ideal for routing, especially for driving or taxi routes in the area due to their analysis of specific scenes.
  • Point Maps: These maps distribute data of geographic information. They are ideal for businesses to pinpoint the exact locations of their buildings in a region.
  • Heat Maps: They indicate the weight of a geographical area based on a specific property. For example, a heat map may distribute the saturation of infected people by area.

Charts present data in the form of graphs, diagrams, and tables. They are often confused with graphs since graphs are indeed a subcategory of charts. However, there is a small difference: graphs show the mathematical relationship between groups of data and is only one of the chart methods to represent data.

Gluten in America - chart data visualization

Infographic Data Visualization by Madeline VanRemmen

With that out of the way, let’s talk about the most basic types of charts in data visualization.

Finance Statistics - Bar Graph visualization

They use a series of bars that illustrate data development.  They are ideal for lighter data and follow trends of no more than three variables or else, the bars become cluttered and hard to comprehend. Ideal for year-on-year comparisons and monthly breakdowns.

Pie chart visualization type

These familiar circular graphs divide data into portions. The bigger the slice, the bigger the portion. They are ideal for depicting sections of a whole and their sum must always be 100%. Avoid pie charts when you need to show data development over time or lack a value for any of the portions. Doughnut charts have the same use as pie charts.

Line graph - common visualization type

They use a line or more than one lines that show development over time. It allows tracking multiple variables at the same time. A great example is tracking product sales by a brand over the years. Area charts have the same use as line charts.

Scatter Plot

Scatter Plot - data visualization idea

These charts allow you to see patterns through data visualization. They have an x-axis and a y-axis for two different values. For example, if your x-axis contains information about car prices while the y-axis is about salaries, the positive or negative relationship will tell you about what a person’s car tells about their salary.

Unlike the charts we just discussed, tables show data in almost a raw format. They are ideal when your data is hard to present visually and aim to show specific numerical data that one is supposed to read rather than visualize.

Creative data table visualization

Data Visualisation | To bee or not to bee by Aishwarya Anand Singh

For example, charts are perfect to display data about a particular illness over a time period in a particular area, but a table comes to better use when you also need to understand specifics such as causes, outcomes, relapses, a period of treatment, and so on.

6. Data Visualization VS Infographics

5 main differences.

They are not that different as both visually represent data. It is often you search for infographics and find images titled Data Visualization and the other way around. In many cases, however, these titles aren’t misleading. Why is that?

  • Data visualization is made of just one element. It could be a map, a chart, or a table. Infographics , on the other hand, often include multiple Data Viz elements.
  • Unlike data visualizations that can be simple or extremely complex and heavy, infographics are simple and target wider audiences. The latter is usually comprehensible even to people outside of the field of research the infographic represents.
  • Interestingly enough, data Viz doesn’t offer narratives and conclusions, it’s a tool and basis for reaching those. While infographics, in most cases offer a story and a narrative. For example, a data visualization map may have the title “Air pollution saturation by region”, while an infographic with the same data would go “Areas A and B are the most polluted in Country C”.
  • Data visualizations can be made in Excel or use other tools that automatically generate the design unless they are set for presentation or publishing. The aesthetics of infographics , however, are of great importance and the designs must be appealing to wider audiences.
  • In terms of interaction, data visualizations often offer interactive charts, especially in an online form. Infographics, on the other hand, rarely have interaction and are usually static images.

While on topic, you could also be interested to check out these 50 engaging infographic examples that make complex data look great.

7. Tips to Create Effective Data Visualization

The process is naturally similar to creating Infographics and it revolves around understanding your data and audience. To be more precise, these are the main steps and best practices when it comes to preparing an effective visualization of data for your viewers to instantly understand.

1. Do Your Homework

Preparation is half the work already done. Before you even start visualizing data, you have to be sure you understand that data to the last detail.

Knowing your audience is undeniable another important part of the homework, as different audiences process information differently. Who are the people you’re visualizing data for? How do they process visual data? Is it enough to hand them a single pie chart or you’ll need a more in-depth visual report?

The third part of preparing is to determine exactly what you want to communicate to the audience. What kind of information you’re visualizing and does it reflect your goal?

And last, think about how much data you’ll be working with and take it into account.

2. Choose the Right Type of Chart

In a previous section, we listed the basic chart types that find use in data visualization. To determine best which one suits your work, there are a few things to consider.

  • How many variables will you have in a chart?
  • How many items will you place for each of your variables?
  • What will be the relation between the values (time period, comparison, distributions, etc.)

With that being said, a pie chart would be ideal if you need to present what portions of a whole takes each item. For example, you can use it to showcase what percent of the market share takes a particular product. Pie charts, however, are unsuitable for distributions, comparisons, and following trends through time periods. Bar graphs, scatter plots,s and line graphs are much more effective in those cases.

Another example is how to use time in your charts. It’s way more accurate to use a horizontal axis because time should run left to right. It’s way more visually intuitive.

3. Sort your Data

Start with removing every piece of data that does not add value and is basically excess for the chart. Sometimes, you have to work with a huge amount of data which will inevitably make your chart pretty complex and hard to read. Don’t hesitate to split your information into two or more charts. If that won’t work for you, you could use highlights or change the entire type of chart with something that would fit better.

Tip: When you use bar charts and columns for comparison, sort the information in an ascending or a descending way by value instead of alphabetical order.

4. Use Colors to Your Advantage

In every form of visualization, colors are your best friend and the most powerful tool. They create contrasts, accents, and emphasis and lead the eye intuitively. Even here, color theory is important.

When you design your chart, make sure you don’t use more than 5 or 6 colors. Anything more than that will make your graph overwhelming and hard to read for your viewers. However, color intensity is a different thing that you can use to your advantage. For example, when you compare the same concept in different periods of time, you could sort your data from the lightest shade of your chosen color to its darker one. It creates a strong visual progression, proper to your timeline.

Things to consider when you choose colors:

  • Different colors for different categories.
  • A consistent color palette for all charts in a series that you will later compare.
  • It’s appropriate to use color blind-friendly palettes.

5. Get Inspired

Always put your inspiration to work when you want to be at the top of your game. Look through examples, infographics, and other people’s work and see what works best for each type of data you need to implement.

This Twitter account Data Visualization Society is a great way to start. In the meantime, we’ll also handpick some amazing examples that will get you in the mood to start creating the visuals for your data.

8. Examples for Data Visualization

As another art form, Data Viz is a fertile ground for some amazing well-designed graphs that prove that data is beautiful. Now let’s check out some.

Dark Souls III Experience Data

We start with Meng Hsiao Wei’s personal project presenting his experience with playing Dark Souls 3. It’s a perfect example that infographics and data visualization are tools for personal designs as well. The research is pretty massive yet very professionally sorted into different types of charts for the different concepts. All data visualizations are made with the same color palette and look great in infographics.

Data of My Dark Souls 3 example

My dark souls 3 playing data by Meng Hsiao Wei

Greatest Movies of all Time

Katie Silver has compiled a list of the 100 greatest movies of all time based on critics and crowd reviews. The visualization shows key data points for every movie such as year of release, oscar nominations and wins, budget, gross, IMDB score, genre, filming location, setting of the film, and production studio. All movies are ordered by the release date.

Greatest Movies visualization chart

100 Greatest Movies Data Visualization by Katie Silver

The Most Violent Cities

Federica Fragapane shows data for the 50 most violent cities in the world in 2017. The items are arranged on a vertical axis based on population and ordered along the horizontal axis according to the homicide rate.

The Most Violent Cities example

The Most Violent Cities by Federica Fragapane

Family Businesses as Data

These data visualizations and illustrations were made by Valerio Pellegrini for Perspectives Magazine. They show a pie chart with sector breakdown as well as a scatter plot for contribution for employment.

Family Businesses as Data Visual

PERSPECTIVES MAGAZINE – Family Businesses by Valerio Pellegrini

Orbit Map of the Solar System

The map shows data on the orbits of more than 18000 asteroids in the solar system. Each asteroid is shown at its position on New Years’ Eve 1999, colored by type of asteroid.

Orbit Map of the Solar System graphic

An Orbit Map of the Solar System by Eleanor Lutz

The Semantics Of Headlines

Katja Flükiger has a take on how headlines tell the story. The data visualization aims to communicate how much is the selling influencing the telling. The project was completed at Maryland Institute College of Art to visualize references to immigration and color-coding the value judgments implied by word choice and context.

The Semantics Of Headlines graph

The Semantics of Headlines by Katja Flükiger

Moon and Earthquakes

This data visualization works on answering whether the moon is responsible for earthquakes. The chart features the time and intensity of earthquakes in response to the phase and orbit location of the moon.

Moon and Earthquakes statistics visual

Moon and Earthquakes by Aishwarya Anand Singh

Dawn of the Nanosats

The visualization shows the satellites launched from 2003 to 2015. The graph represents the type of institutions focused on projects as well as the nations that financed them. On the left, it is shown the number of launches per year and satellite applications.

Dawn of the Nanosats visualization

WIRED UK – Dawn of the by Nanosats by Valerio Pellegrini

Final Words

Data visualization is not only a form of science but also a form of art. Its purpose is to help businesses in any field quickly make sense of complex data and start making decisions based on that data. To make your graphs efficient and easy to read, it’s all about knowing your data and audience. This way you’ll be able to choose the right type of chart and use visual techniques to your advantage.

You may also be interested in some of these related articles:

  • Infographics for Marketing: How to Grab and Hold the Attention
  • 12 Animated Infographics That Will Engage Your Mind from Start to Finish
  • 50 Engaging Infographic Examples That Make Complex Ideas Look Great
  • Good Color Combinations That Go Beyond Trends: Inspirational Examples and Ideas

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17 Data Visualization Techniques All Professionals Should Know

Data Visualizations on a Page

  • 17 Sep 2019

There’s a growing demand for business analytics and data expertise in the workforce. But you don’t need to be a professional analyst to benefit from data-related skills.

Becoming skilled at common data visualization techniques can help you reap the rewards of data-driven decision-making , including increased confidence and potential cost savings. Learning how to effectively visualize data could be the first step toward using data analytics and data science to your advantage to add value to your organization.

Several data visualization techniques can help you become more effective in your role. Here are 17 essential data visualization techniques all professionals should know, as well as tips to help you effectively present your data.

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What Is Data Visualization?

Data visualization is the process of creating graphical representations of information. This process helps the presenter communicate data in a way that’s easy for the viewer to interpret and draw conclusions.

There are many different techniques and tools you can leverage to visualize data, so you want to know which ones to use and when. Here are some of the most important data visualization techniques all professionals should know.

Data Visualization Techniques

The type of data visualization technique you leverage will vary based on the type of data you’re working with, in addition to the story you’re telling with your data .

Here are some important data visualization techniques to know:

  • Gantt Chart
  • Box and Whisker Plot
  • Waterfall Chart
  • Scatter Plot
  • Pictogram Chart
  • Highlight Table
  • Bullet Graph
  • Choropleth Map
  • Network Diagram
  • Correlation Matrices

1. Pie Chart

Pie Chart Example

Pie charts are one of the most common and basic data visualization techniques, used across a wide range of applications. Pie charts are ideal for illustrating proportions, or part-to-whole comparisons.

Because pie charts are relatively simple and easy to read, they’re best suited for audiences who might be unfamiliar with the information or are only interested in the key takeaways. For viewers who require a more thorough explanation of the data, pie charts fall short in their ability to display complex information.

2. Bar Chart

Bar Chart Example

The classic bar chart , or bar graph, is another common and easy-to-use method of data visualization. In this type of visualization, one axis of the chart shows the categories being compared, and the other, a measured value. The length of the bar indicates how each group measures according to the value.

One drawback is that labeling and clarity can become problematic when there are too many categories included. Like pie charts, they can also be too simple for more complex data sets.

3. Histogram

Histogram Example

Unlike bar charts, histograms illustrate the distribution of data over a continuous interval or defined period. These visualizations are helpful in identifying where values are concentrated, as well as where there are gaps or unusual values.

Histograms are especially useful for showing the frequency of a particular occurrence. For instance, if you’d like to show how many clicks your website received each day over the last week, you can use a histogram. From this visualization, you can quickly determine which days your website saw the greatest and fewest number of clicks.

4. Gantt Chart

Gantt Chart Example

Gantt charts are particularly common in project management, as they’re useful in illustrating a project timeline or progression of tasks. In this type of chart, tasks to be performed are listed on the vertical axis and time intervals on the horizontal axis. Horizontal bars in the body of the chart represent the duration of each activity.

Utilizing Gantt charts to display timelines can be incredibly helpful, and enable team members to keep track of every aspect of a project. Even if you’re not a project management professional, familiarizing yourself with Gantt charts can help you stay organized.

5. Heat Map

Heat Map Example

A heat map is a type of visualization used to show differences in data through variations in color. These charts use color to communicate values in a way that makes it easy for the viewer to quickly identify trends. Having a clear legend is necessary in order for a user to successfully read and interpret a heatmap.

There are many possible applications of heat maps. For example, if you want to analyze which time of day a retail store makes the most sales, you can use a heat map that shows the day of the week on the vertical axis and time of day on the horizontal axis. Then, by shading in the matrix with colors that correspond to the number of sales at each time of day, you can identify trends in the data that allow you to determine the exact times your store experiences the most sales.

6. A Box and Whisker Plot

Box and Whisker Plot Example

A box and whisker plot , or box plot, provides a visual summary of data through its quartiles. First, a box is drawn from the first quartile to the third of the data set. A line within the box represents the median. “Whiskers,” or lines, are then drawn extending from the box to the minimum (lower extreme) and maximum (upper extreme). Outliers are represented by individual points that are in-line with the whiskers.

This type of chart is helpful in quickly identifying whether or not the data is symmetrical or skewed, as well as providing a visual summary of the data set that can be easily interpreted.

7. Waterfall Chart

Waterfall Chart Example

A waterfall chart is a visual representation that illustrates how a value changes as it’s influenced by different factors, such as time. The main goal of this chart is to show the viewer how a value has grown or declined over a defined period. For example, waterfall charts are popular for showing spending or earnings over time.

8. Area Chart

Area Chart Example

An area chart , or area graph, is a variation on a basic line graph in which the area underneath the line is shaded to represent the total value of each data point. When several data series must be compared on the same graph, stacked area charts are used.

This method of data visualization is useful for showing changes in one or more quantities over time, as well as showing how each quantity combines to make up the whole. Stacked area charts are effective in showing part-to-whole comparisons.

9. Scatter Plot

Scatter Plot Example

Another technique commonly used to display data is a scatter plot . A scatter plot displays data for two variables as represented by points plotted against the horizontal and vertical axis. This type of data visualization is useful in illustrating the relationships that exist between variables and can be used to identify trends or correlations in data.

Scatter plots are most effective for fairly large data sets, since it’s often easier to identify trends when there are more data points present. Additionally, the closer the data points are grouped together, the stronger the correlation or trend tends to be.

10. Pictogram Chart

Pictogram Example

Pictogram charts , or pictograph charts, are particularly useful for presenting simple data in a more visual and engaging way. These charts use icons to visualize data, with each icon representing a different value or category. For example, data about time might be represented by icons of clocks or watches. Each icon can correspond to either a single unit or a set number of units (for example, each icon represents 100 units).

In addition to making the data more engaging, pictogram charts are helpful in situations where language or cultural differences might be a barrier to the audience’s understanding of the data.

11. Timeline

Timeline Example

Timelines are the most effective way to visualize a sequence of events in chronological order. They’re typically linear, with key events outlined along the axis. Timelines are used to communicate time-related information and display historical data.

Timelines allow you to highlight the most important events that occurred, or need to occur in the future, and make it easy for the viewer to identify any patterns appearing within the selected time period. While timelines are often relatively simple linear visualizations, they can be made more visually appealing by adding images, colors, fonts, and decorative shapes.

12. Highlight Table

Highlight Table Example

A highlight table is a more engaging alternative to traditional tables. By highlighting cells in the table with color, you can make it easier for viewers to quickly spot trends and patterns in the data. These visualizations are useful for comparing categorical data.

Depending on the data visualization tool you’re using, you may be able to add conditional formatting rules to the table that automatically color cells that meet specified conditions. For instance, when using a highlight table to visualize a company’s sales data, you may color cells red if the sales data is below the goal, or green if sales were above the goal. Unlike a heat map, the colors in a highlight table are discrete and represent a single meaning or value.

13. Bullet Graph

Bullet Graph Example

A bullet graph is a variation of a bar graph that can act as an alternative to dashboard gauges to represent performance data. The main use for a bullet graph is to inform the viewer of how a business is performing in comparison to benchmarks that are in place for key business metrics.

In a bullet graph, the darker horizontal bar in the middle of the chart represents the actual value, while the vertical line represents a comparative value, or target. If the horizontal bar passes the vertical line, the target for that metric has been surpassed. Additionally, the segmented colored sections behind the horizontal bar represent range scores, such as “poor,” “fair,” or “good.”

14. Choropleth Maps

Choropleth Map Example

A choropleth map uses color, shading, and other patterns to visualize numerical values across geographic regions. These visualizations use a progression of color (or shading) on a spectrum to distinguish high values from low.

Choropleth maps allow viewers to see how a variable changes from one region to the next. A potential downside to this type of visualization is that the exact numerical values aren’t easily accessible because the colors represent a range of values. Some data visualization tools, however, allow you to add interactivity to your map so the exact values are accessible.

15. Word Cloud

Word Cloud Example

A word cloud , or tag cloud, is a visual representation of text data in which the size of the word is proportional to its frequency. The more often a specific word appears in a dataset, the larger it appears in the visualization. In addition to size, words often appear bolder or follow a specific color scheme depending on their frequency.

Word clouds are often used on websites and blogs to identify significant keywords and compare differences in textual data between two sources. They are also useful when analyzing qualitative datasets, such as the specific words consumers used to describe a product.

16. Network Diagram

Network Diagram Example

Network diagrams are a type of data visualization that represent relationships between qualitative data points. These visualizations are composed of nodes and links, also called edges. Nodes are singular data points that are connected to other nodes through edges, which show the relationship between multiple nodes.

There are many use cases for network diagrams, including depicting social networks, highlighting the relationships between employees at an organization, or visualizing product sales across geographic regions.

17. Correlation Matrix

Correlation Matrix Example

A correlation matrix is a table that shows correlation coefficients between variables. Each cell represents the relationship between two variables, and a color scale is used to communicate whether the variables are correlated and to what extent.

Correlation matrices are useful to summarize and find patterns in large data sets. In business, a correlation matrix might be used to analyze how different data points about a specific product might be related, such as price, advertising spend, launch date, etc.

Other Data Visualization Options

While the examples listed above are some of the most commonly used techniques, there are many other ways you can visualize data to become a more effective communicator. Some other data visualization options include:

  • Bubble clouds
  • Circle views
  • Dendrograms
  • Dot distribution maps
  • Open-high-low-close charts
  • Polar areas
  • Radial trees
  • Ring Charts
  • Sankey diagram
  • Span charts
  • Streamgraphs
  • Wedge stack graphs
  • Violin plots

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Tips For Creating Effective Visualizations

Creating effective data visualizations requires more than just knowing how to choose the best technique for your needs. There are several considerations you should take into account to maximize your effectiveness when it comes to presenting data.

Related : What to Keep in Mind When Creating Data Visualizations in Excel

One of the most important steps is to evaluate your audience. For example, if you’re presenting financial data to a team that works in an unrelated department, you’ll want to choose a fairly simple illustration. On the other hand, if you’re presenting financial data to a team of finance experts, it’s likely you can safely include more complex information.

Another helpful tip is to avoid unnecessary distractions. Although visual elements like animation can be a great way to add interest, they can also distract from the key points the illustration is trying to convey and hinder the viewer’s ability to quickly understand the information.

Finally, be mindful of the colors you utilize, as well as your overall design. While it’s important that your graphs or charts are visually appealing, there are more practical reasons you might choose one color palette over another. For instance, using low contrast colors can make it difficult for your audience to discern differences between data points. Using colors that are too bold, however, can make the illustration overwhelming or distracting for the viewer.

Related : Bad Data Visualization: 5 Examples of Misleading Data

Visuals to Interpret and Share Information

No matter your role or title within an organization, data visualization is a skill that’s important for all professionals. Being able to effectively present complex data through easy-to-understand visual representations is invaluable when it comes to communicating information with members both inside and outside your business.

There’s no shortage in how data visualization can be applied in the real world. Data is playing an increasingly important role in the marketplace today, and data literacy is the first step in understanding how analytics can be used in business.

Are you interested in improving your analytical skills? Learn more about Business Analytics , our eight-week online course that can help you use data to generate insights and tackle business decisions.

This post was updated on January 20, 2022. It was originally published on September 17, 2019.

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About the Author

Illustration with collage of pictograms of clouds, pie chart, graph pictograms on the following

Data visualization is the representation of data through use of common graphics, such as charts, plots, infographics and even animations. These visual displays of information communicate complex data relationships and data-driven insights in a way that is easy to understand.

Data visualization can be utilized for a variety of purposes, and it’s important to note that is not only reserved for use by data teams. Management also leverages it to convey organizational structure and hierarchy while data analysts and data scientists use it to discover and explain patterns and trends.  Harvard Business Review  (link resides outside ibm.com) categorizes data visualization into four key purposes: idea generation, idea illustration, visual discovery, and everyday dataviz. We’ll delve deeper into these below:

Idea generation

Data visualization is commonly used to spur idea generation across teams. They are frequently leveraged during brainstorming or  Design Thinking  sessions at the start of a project by supporting the collection of different perspectives and highlighting the common concerns of the collective. While these visualizations are usually unpolished and unrefined, they help set the foundation within the project to ensure that the team is aligned on the problem that they’re looking to address for key stakeholders.

Idea illustration

Data visualization for idea illustration assists in conveying an idea, such as a tactic or process. It is commonly used in learning settings, such as tutorials, certification courses, centers of excellence, but it can also be used to represent organization structures or processes, facilitating communication between the right individuals for specific tasks. Project managers frequently use Gantt charts and waterfall charts to illustrate  workflows .  Data modeling  also uses abstraction to represent and better understand data flow within an enterprise’s information system, making it easier for developers, business analysts, data architects, and others to understand the relationships in a database or data warehouse.

Visual discovery

Visual discovery and every day data viz are more closely aligned with data teams. While visual discovery helps data analysts, data scientists, and other data professionals identify patterns and trends within a dataset, every day data viz supports the subsequent storytelling after a new insight has been found.

Data visualization

Data visualization is a critical step in the data science process, helping teams and individuals convey data more effectively to colleagues and decision makers. Teams that manage reporting systems typically leverage defined template views to monitor performance. However, data visualization isn’t limited to performance dashboards. For example, while  text mining  an analyst may use a word cloud to to capture key concepts, trends, and hidden relationships within this unstructured data. Alternatively, they may utilize a graph structure to illustrate relationships between entities in a knowledge graph. There are a number of ways to represent different types of data, and it’s important to remember that it is a skillset that should extend beyond your core analytics team.

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The earliest form of data visualization can be traced back the Egyptians in the pre-17th century, largely used to assist in navigation. As time progressed, people leveraged data visualizations for broader applications, such as in economic, social, health disciplines. Perhaps most notably, Edward Tufte published  The Visual Display of Quantitative Information  (link resides outside ibm.com), which illustrated that individuals could utilize data visualization to present data in a more effective manner. His book continues to stand the test of time, especially as companies turn to dashboards to report their performance metrics in real-time. Dashboards are effective data visualization tools for tracking and visualizing data from multiple data sources, providing visibility into the effects of specific behaviors by a team or an adjacent one on performance. Dashboards include common visualization techniques, such as:

  • Tables: This consists of rows and columns used to compare variables. Tables can show a great deal of information in a structured way, but they can also overwhelm users that are simply looking for high-level trends.
  • Pie charts and stacked bar charts:  These graphs are divided into sections that represent parts of a whole. They provide a simple way to organize data and compare the size of each component to one other.
  • Line charts and area charts:  These visuals show change in one or more quantities by plotting a series of data points over time and are frequently used within predictive analytics. Line graphs utilize lines to demonstrate these changes while area charts connect data points with line segments, stacking variables on top of one another and using color to distinguish between variables.
  • Histograms: This graph plots a distribution of numbers using a bar chart (with no spaces between the bars), representing the quantity of data that falls within a particular range. This visual makes it easy for an end user to identify outliers within a given dataset.
  • Scatter plots: These visuals are beneficial in reveling the relationship between two variables, and they are commonly used within regression data analysis. However, these can sometimes be confused with bubble charts, which are used to visualize three variables via the x-axis, the y-axis, and the size of the bubble.
  • Heat maps:  These graphical representation displays are helpful in visualizing behavioral data by location. This can be a location on a map, or even a webpage.
  • Tree maps, which display hierarchical data as a set of nested shapes, typically rectangles. Treemaps are great for comparing the proportions between categories via their area size.

Access to data visualization tools has never been easier. Open source libraries, such as D3.js, provide a way for analysts to present data in an interactive way, allowing them to engage a broader audience with new data. Some of the most popular open source visualization libraries include:

  • D3.js: It is a front-end JavaScript library for producing dynamic, interactive data visualizations in web browsers.  D3.js  (link resides outside ibm.com) uses HTML, CSS, and SVG to create visual representations of data that can be viewed on any browser. It also provides features for interactions and animations.
  • ECharts:  A powerful charting and visualization library that offers an easy way to add intuitive, interactive, and highly customizable charts to products, research papers, presentations, etc.  Echarts  (link resides outside ibm.com) is based in JavaScript and ZRender, a lightweight canvas library.
  • Vega:   Vega  (link resides outside ibm.com) defines itself as “visualization grammar,” providing support to customize visualizations across large datasets which are accessible from the web.
  • deck.gl: It is part of Uber's open source visualization framework suite.  deck.gl  (link resides outside ibm.com) is a framework, which is used for  exploratory data analysis  on big data. It helps build high-performance GPU-powered visualization on the web.

With so many data visualization tools readily available, there has also been a rise in ineffective information visualization. Visual communication should be simple and deliberate to ensure that your data visualization helps your target audience arrive at your intended insight or conclusion. The following best practices can help ensure your data visualization is useful and clear:

Set the context: It’s important to provide general background information to ground the audience around why this particular data point is important. For example, if e-mail open rates were underperforming, we may want to illustrate how a company’s open rate compares to the overall industry, demonstrating that the company has a problem within this marketing channel. To drive an action, the audience needs to understand how current performance compares to something tangible, like a goal, benchmark, or other key performance indicators (KPIs).

Know your audience(s): Think about who your visualization is designed for and then make sure your data visualization fits their needs. What is that person trying to accomplish? What kind of questions do they care about? Does your visualization address their concerns? You’ll want the data that you provide to motivate people to act within their scope of their role. If you’re unsure if the visualization is clear, present it to one or two people within your target audience to get feedback, allowing you to make additional edits prior to a large presentation.

Choose an effective visual:  Specific visuals are designed for specific types of datasets. For instance, scatter plots display the relationship between two variables well, while line graphs display time series data well. Ensure that the visual actually assists the audience in understanding your main takeaway. Misalignment of charts and data can result in the opposite, confusing your audience further versus providing clarity.

Keep it simple:  Data visualization tools can make it easy to add all sorts of information to your visual. However, just because you can, it doesn’t mean that you should! In data visualization, you want to be very deliberate about the additional information that you add to focus user attention. For example, do you need data labels on every bar in your bar chart? Perhaps you only need one or two to help illustrate your point. Do you need a variety of colors to communicate your idea? Are you using colors that are accessible to a wide range of audiences (e.g. accounting for color blind audiences)? Design your data visualization for maximum impact by eliminating information that may distract your target audience.

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Blog Graphic Design What is Data Visualization? (Definition, Examples, Best Practices)

What is Data Visualization? (Definition, Examples, Best Practices)

Written by: Midori Nediger Jun 05, 2020

What is Data Visualization Blog Header

Words don’t always paint the clearest picture. Raw data doesn’t always tell the most compelling story. 

The human mind is very receptive to visual information. That’s why data visualization is a powerful tool for communication.    

But if “data visualization” sounds tricky and technical don’t worry—it doesn’t have to be. 

This guide will explain the fundamentals of data visualization in a way that anyone can understand. Included are a ton of examples of different types of data visualizations and when to use them for your reports, presentations, marketing, and more.

Table of Contents

  • What is data visualization?

What is data visualization used for?

Types of data visualizations.

  • How to present data visually  (for businesses, marketers, nonprofits, and education)
  • Data visualization examples

Data visualization is used everywhere. 

Businesses use data visualization for reporting, forecasting, and marketing. 

Persona Marketing Report Template

CREATE THIS REPORT TEMPLATE

Nonprofits use data visualizations to put stories and faces to numbers. 

Gates Foundation Infographic

Source:  Bill and Melinda Gates Foundation

Scholars and scientists use data visualization to illustrate concepts and reinforce their arguments.

Light Reactions Chemistry Concept Map Template

CREATE THIS MIND MAP TEMPLATE

Reporters use data visualization to show trends and contextualize stories. 

Data Visualization Protests Reporter

While data visualizations can make your work more professional, they can also be a lot of fun.

What is data visualization? A simple definition of data visualization:

Data visualization is the visual presentation of data or information. The goal of data visualization is to communicate data or information clearly and effectively to readers. Typically, data is visualized in the form of a chart , infographic , diagram or map. 

The field of data visualization combines both art and data science. While a data visualization can be creative and pleasing to look at, it should also be functional in its visual communication of the data. 

Data Visualization Meme

Data, especially a lot of data, can be difficult to wrap your head around. Data visualization can help both you and your audience interpret and understand data. 

Data visualizations often use elements of visual storytelling to communicate a message supported by the data. 

There are many situations where you would want to present data visually. 

Data visualization can be used for:

  • Making data engaging and easily digestible
  • Identifying trends and outliers within a set of data
  • Telling a story found within the data
  • Reinforcing an argument or opinion
  • Highlighting the important parts of a set of data

Let’s look at some examples for each use case.

1. Make data digestible and easy to understand

Often, a large set of numbers can make us go cross-eyed. It can be difficult to find the significance behind rows of data. 

Data visualization allows us to frame the data differently by using illustrations, charts, descriptive text, and engaging design. Visualization also allows us to group and organize data based on categories and themes, which can make it easier to break down into understandable chunks. 

Related : How to Use Data Visualization in Your Infographics

For example, this infographic breaks down the concept of neuroplasticity in an approachable way:

Neuroplasticity Science Infographic

Source: NICABM

The same goes for complex, specialized concepts. It can often be difficult to break down the information in a way that non-specialists will understand. But an infographic that organizes the information, with visuals, can demystify concepts for novice readers.

Stocks Infographic Template Example

CREATE THIS INFOGRAPHIC TEMPLATE

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2. Identify trends and outliers

If you were to sift through raw data manually, it could take ages to notice patterns, trends or outlying data. But by using data visualization tools like charts, you can sort through a lot of data quickly. 

Even better, charts enable you to pick up on trends a lot quicker than you would sifting through numbers.

For example, here’s a simple chart generated by Google Search Console that shows the change in Google searches for “toilet paper”. As you can see, in March 2020 there was a huge increase in searches for toilet paper:

SEO Trends 2020 Chart

Source: How to Use SEO Data to Fuel Your Content Marketing Strategy in 2020

This chart shows an outlier in the general trend for toilet paper-related Google searches. The reason for the outlier? The outbreak of COVID-19 in North America. With a simple data visualization, we’ve been able to highlight an outlier and hint at a story behind the data. 

Uploading your data into charts, to create these kinds of visuals is easy. While working on your design in the editor, select a chart from the left panel. Open the chart and find the green IMPORT button under the DATA tab. Then upload the CSV file and your chart automatically visualizes the information. 

June 2020 Updates9

3. Tell a story within the data

Numbers on their own don’t tend to evoke an emotional response. But data visualization can tell a story that gives significance to the data. 

Designers use techniques like color theory , illustrations, design style and visual cues to appeal to the emotions of readers, put faces to numbers, and introduce a narrative to the data. 

Related : How to Tell a Story With Data (A Guide for Beginners)

For example, here’s an infographic created by World Vision. In the infographics, numbers are visualized using illustrations of cups. While comparing numbers might impress readers, reinforcing those numbers with illustrations helps to make an even greater impact. 

World Vision Goat Nonprofit Infographic

Source: World Vision

Meanwhile, this infographic uses data to draw attention to an often overlooked issue:

Coronavirus Impact On Refugees Infographic Venngage

Read More:  The Coronavirus Pandemic and the Refugee Crisis

4. Reinforce an argument or opinion

When it comes to convincing people your opinion is right, they often have to see it to believe it. An effective infographic or chart can make your argument more robust and reinforce your creativity. 

For example, you can use a comparison infographic to compare sides of an argument, different theories, product/service options, pros and cons, and more. Especially if you’re blending data types.

Product Comparison Infographic

5. Highlight an important point in a set of data

Sometimes we use data visualizations to make it easier for readers to explore the data and come to their own conclusions. But often, we use data visualizations to tell a story, make a particular argument, or encourage readers to come to a specific conclusion. 

Designers use visual cues to direct the eye to different places on a page. Visual cues are shapes, symbols, and colors that point to a specific part of the data visualization, or that make a specific part stand out.

For example, in this data visualization, contrasting colors are used to emphasize the difference in the amount of waste sent to landfills versus recycled waste:

Waste Management Infographic Template

Here’s another example. This time, a red circle and an arrow are used to highlight points on the chart where the numbers show a drop: 

Travel Expense Infographic Template

Highlighting specific data points helps your data visualization tell a compelling story.

6. Make books, blog posts, reports and videos more engaging

At Venngage, we use data visualization to make our blog posts more engaging for readers. When we write a blog post or share a post on social media, we like to summarize key points from our content using infographics. 

The added benefit of creating engaging visuals like infographics is that it has enabled our site to be featured in publications like The Wall Street Journal , Mashable , Business Insider , The Huffington Post and more. 

That’s because data visualizations are different from a lot of other types of content people consume on a daily basis. They make your brain work. They combine concrete facts and numbers with impactful visual elements. They make complex concepts easier to grasp. 

Here’s an example of an infographic we made that got a lot of media buzz:

Game of Thrones Infographic

Read the Blog Post: Every Betrayal Ever in Game of Thrones

We created this infographic because a bunch of people on our team are big Game of Thrones fans and we wanted to create a visual that would help other fans follow the show. Because we approached a topic that a lot of people cared about in an original way, the infographic got picked up by a bunch of media sites. 

Whether you’re a website looking to promote your content, a journalist looking for an original angle, or a creative building your portfolio, data visualizations can be an effective way to get people’s attention.

Data visualizations can come in many different forms. People are always coming up with new and creative ways to present data visually. 

Generally speaking, data visualizations usually fall under these main categories:

An infographic is a collection of imagery, charts, and minimal text that gives an easy-to-understand overview of a topic. 

Product Design Process Infographic Template

While infographics can take many forms, they can typically be categorized by these infographic types:

  • Statistical infographics
  • Informational infographics
  • Timeline infographics
  • Process infographics
  • Geographic infographics
  • Comparison infographics
  • Hierarchical infographics
  • List infographics
  • Resume infographics

Read More: What is an Infographic? Examples, Templates & Design Tips

Charts 

In the simplest terms, a chart is a graphical representation of data. Charts use visual symbols like line, bars, dots, slices, and icons to represent data points. 

Some of the most common types of charts are:

  • Bar graphs /charts
  • Line charts
  • Bubble charts
  • Stacked bar charts
  • Word clouds
  • Pictographs
  • Area charts
  • Scatter plot charts
  • Multi-series charts

The question that inevitably follows is: what type of chart should I use to visualize my data? Does it matter?

Short answer: yes, it matters. Choosing a type of chart that doesn’t work with your data can end up misrepresenting and skewing your data. 

For example: if you’ve been in the data viz biz for a while, then you may have heard some of the controversy surrounding pie charts. A rookie mistake that people often make is using a pie chart when a bar chart would work better. 

Pie charts display portions of a whole. A pie chart works when you want to compare proportions that are substantially different. Like this:

Dark Greenhouse Gases Pie Chart Template

CREATE THIS CHART TEMPLATE

But when your proportions are similar, a pie chart can make it difficult to tell which slice is bigger than the other. That’s why, in most other cases, a bar chart is a safer bet.

Green Bar Chart Template

Here is a cheat sheet to help you pick the right type of chart for your data:

How to Pick Charts Infographic Cheat Sheet

Want to make better charts? Make engaging charts with Venngage’s Chart Maker .

Related : How to Choose the Best Types of Charts For Your Data

Similar to a chart, a diagram is a visual representation of information. Diagrams can be both two-dimensional and three-dimensional. 

Some of the most common types of diagrams are:

  • Venn diagrams
  • Tree diagrams
  • SWOT analysis
  • Fishbone diagrams
  • Use case diagrams

Diagrams are used for mapping out processes, helping with decision making, identifying root causes, connecting ideas, and planning out projects.

Root Cause Problem Fishbone Diagram Template

CREATE THIS DIAGRAM TEMPLATE

Want to make a diagram ? Create a Venn diagram and other visuals using our free Venn Diagram Maker .

A map is a visual representation of an area of land. Maps show physical features of land like regions, landscapes, cities, roads, and bodies of water. 

World Map National Geographic

Source: National Geographic

A common type of map you have probably come across in your travels is a choropleth map . Choropleth maps use different shades and colors to indicate average quantities. 

For example, a population density map uses varying shades to show the difference in population numbers from region to region:

US Population Map Template

Create your own map for free with Venngage’s Map Maker .

How to present data visually (data visualization best practices)

While good data visualization will communicate data or information clearly and effectively, bad data visualization will do the opposite. Here are some practical tips for how businesses and organizations can use data visualization to communicate information more effectively. 

Not a designer? No problem. Venngage’s Graph Maker  will help you create better graphs in minutes.

1. Avoid distorting the data

This may be the most important point in this whole blog post. While data visualizations are an opportunity to show off your creative design chops, function should never be sacrificed for fashion. 

The chart styles, colors, shapes, and sizing you use all play a role in how the data is interpreted. If you want to present your data accurately and ethically, then you need to take care to ensure that your data visualization does not present the data falsely. 

There are a number of different ways data can be distorted in a chart. Some common ways data can be distorted are:

  • Making the baselines something other than 0 to make numbers seem bigger or smaller than they are – this is called “truncating” a graph
  • Compressing or expanding the scale of the Y-axis to make a line or bar seem bigger or smaller than it should be
  • Cherry picking data so that only the data points you want to include are on a graph (i.e. only telling part of the story)
  • Using the wrong type of chart, graph or diagram for your data
  • Going against standard, expected data visualization conventions

Because people use data visualizations to reinforce their opinions, you should always read data visualizations with a critical eye. Often enough, writers may be using data visualization to skew the data in a way that supports their opinions, but that may not be entirely truthful.

Misleading Graphs Infographic Template

Read More: 5 Ways Writers Use Graphs To Mislead You

Want to create an engaging line graph? Use Venngage’s Line Graph Maker to create your own in minutes.

2. Avoid cluttering up your design with “chartjunk”

When it comes to best practices for data visualization, we should turn to one of the grandfather’s of data visualization: Edward Tufte. He coined the term “ chartjunk ”, which refers to the use of unnecessary or confusing design elements that skews or obscures the data in a chart. 

Here’s an example of a data visualization that suffers from chartjunk:

Chartjunk Example

Source: ExcelUser

In this example, the image of the coin is distracting for readers trying to interpret the data. Note how the fonts are tiny – almost unreadable. Mistakes like this are common when a designers tries to put style before function. 

Read More : The Worst Infographics of 2020 (With Lessons for 2021)

3. Tell a story with your data

Data visualizations like infographics give you the space to combine data and narrative structure in one page. Visuals like icons and bold fonts let you highlight important statistics and facts.

For example, you could customize this data visualization infographic template to show the benefit of using your product or service (and post it on social media):

Present Data Visually

USE THIS TEMPLATE

  This data visualization relies heavily on text and icons to tell the story of its data:

Workplace Culture Infographic Template

This type of infographic is perfect for those who aren’t as comfortable with charts and graphs. It’s also a great way to showcase original research, get social shares and build brand awareness.

4. Combine different types of data visualizations

While you may choose to keep your data visualization simple, combining multiple types of charts and diagrams can help tell a more rounded story.

Don’t be afraid to combine charts, pictograms and diagrams into one infographic. The result will be a data visualization infographic that is engaging and rich in visual data.

Vintage Agriculture Child Labor Statistics Infographic Template

Design Tip: This data visualization infographic would be perfect for nonprofits to customize and include in an email newsletter to increase awareness (and donations).

Or take this data visualization that also combines multiple types of charts, pictograms, and images to engage readers. It could work well in a presentation or report on customer research, customer service scores, quarterly performance and much more:

Smartphone Applications Infographic Template

Design Tip: This infographic could work well in a presentation or report on customer research, customer service scores, quarterly performance and much more.

Make your own bar graph in minutes with our free Bar Graph Maker .

5. Use icons to emphasize important points

Icons are perfect for attracting the eye when scanning a page. (Remember: use visual cues!)

If there are specific data points that you want readers to pay attention to, placing an icon beside it will make it more noticeable:

Presentation Design Statistical Infographic

Design Tip: This infographic template would work well on social media to encourage shares and brand awareness.

You can also pair icons with headers to indicate the beginning of a new section.

Meanwhile, this infographic uses icons like bullet points to emphasize and illustrate important points. 

Internship Statistics Infographic Template

Design Tip: This infographic would make a great sales piece to promote your course or other service.  

6. Use bold fonts to make text information engaging

A challenge people often face when setting out to visualize information is knowing how much text to include. After all, the point of data visualization is that it presents information visually, rather than a page of text. 

Even if you have a lot of text information, you can still create present data visually. Use bold, interesting fonts to make your data exciting. Just make sure that, above all else, your text is still easy to read.

This data visualization uses different fonts for the headers and body text that are bold but clear. This helps integrate the text into the design and emphasizes particular points:

Dark Child Labor Statistics Infographic Template

Design Tip: Nonprofits could use this data visualization infographic in a newsletter or on social media to build awareness, but any business could use it to explain the need for their product or service. 

As a general rule of thumb, stick to no more than three different font types in one infographic.

This infographic uses one font for headers, another font for body text, and a third font for accent text. 

Read More: How to Choose Fonts For Your Designs (With Examples)

Content Curation Infographic Template

Design Tip: Venngage has a library of fonts to choose from. If you can’t find the icon you’re looking for , you can always request they be added. Our online editor has a chat box with 24/7 customer support.

7. Use colors strategically in your design

In design, colors are as functional as they are fashionable. You can use colors to emphasize points, categorize information, show movement or progression, and more. 

For example, this chart uses color to categorize data:

World Population Infographic Template

Design Tip : This pie chart can actually be customized in many ways. Human resources could provide a monthly update of people hired by department, nonprofits could show a breakdown of how they spent donations and real estate agents could show the average price of homes sold by neighbourhood.

You can also use light colored text and icons on dark backgrounds to make them stand out. Consider the mood that you want to convey with your infographic and pick colors that will reflect that mood. You can also use contrasting colors from your brand color palette.

This infographic template uses a bold combination of pinks and purples to give the data impact:

Beauty Industry Infographic Template

Read More: How to Pick Colors to Captivate Readers and Communicate Effectively

8. Show how parts make up a whole

It can be difficult to break a big topic down into smaller parts. Data visualization can make it a lot easier for people to conceptualize how parts make up a whole.

Using one focus visual, diagram or chart can convey parts of a whole more effectively than a text list can. Look at how this infographic neatly visualizes how marketers use blogging as part of their strategy:

Modern Marketing Statistics Infographic Template

Design Tip: Human resources could use this graphic to show the results of a company survey. Or consultants could promote their services by showing their success rates.

Or look at how this infographic template uses one focus visual to illustrate the nutritional makeup of a banana:

Banana Nutrition Infographic

CREATE THIS FLYER TEMPLATE

9. Focus on one amazing statistic

If you are preparing a presentation, it’s best not to try and cram too many visuals into one slide. Instead, focus on one awe-inspiring statistic and make that the focus of your slide.

Use one focus visual to give the statistic even more impact. Smaller visuals like this are ideal for sharing on social media, like in this example:

Geography Statistical Infographic Template

Design Tip: You can easily swap out the icon above (of Ontario, Canada) using Venngage’s drag-and-drop online editor and its in-editor library of icons. Click on the template above to get started.

This template also focuses on one key statistic and offers some supporting information in the bar on the side:

Travel Statistical Infographic Template

10. Optimize your data visualization for mobile

Complex, information-packed infographics are great for spicing up reports, blog posts, handouts, and more. But they’re not always the best for mobile viewing. 

To optimize your data visualization for mobile viewing, use one focus chart or icon and big, legible font. You can create a series of mobile-optimized infographics to share multiple data points in a super original and attention-grabbing way.

For example, this infographic uses concise text and one chart to cut to the core message behind the data:

Social Media Infographic Example

CREATE THIS SOCIAL MEDIA TEMPLATE

Some amazing data visualization examples

Here are some of the best data visualization examples I’ve come across in my years writing about data viz. 

Evolution of Marketing Infographic

Evolution of Marketing Infographic

Graphic Design Trends Infographic

Graphic Design Trends 2020 Infographic

Stop Shark Finning Nonprofit Infographic

Shark Attack Nonprofit Infographic

Source: Ripetungi

Coronavirus Impact on Environment Data Visualization

Pandemic's Environmental Impact Infographic Template

What Disney Characters Tell Us About Color Theory

Color Psychology of Disney Characters Infographic

World’s Deadliest Animal Infographic

World's Deadliest Animal Gates Foundation Infographic

Source: Bill and Melinda Gates Foundation

The Secret Recipe For a Viral Creepypasta

Creepypasta Infographic

Read More: Creepypasta Study: The Secret Recipe For a Viral Horror Story

The Hero’s Journey Infographic

Hero's Journey Infographic

Read More: What Your 6 Favorite Movies Have in Common

Emotional Self Care Guide Infographic

Emotional Self Care Infographic

Source: Carley Schweet

Want to look at more amazing data visualization? Read More: 50+ Infographic Ideas, Examples & Templates for 2020 (For Marketers, Nonprofits, Schools, Healthcare Workers, and more)

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  • Math Article

Graphical Representation

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Graphical Representation is a way of analysing numerical data. It exhibits the relation between data, ideas, information and concepts in a diagram. It is easy to understand and it is one of the most important learning strategies. It always depends on the type of information in a particular domain. There are different types of graphical representation. Some of them are as follows:

  • Line Graphs – Line graph or the linear graph is used to display the continuous data and it is useful for predicting future events over time.
  • Bar Graphs – Bar Graph is used to display the category of data and it compares the data using solid bars to represent the quantities.
  • Histograms – The graph that uses bars to represent the frequency of numerical data that are organised into intervals. Since all the intervals are equal and continuous, all the bars have the same width.
  • Line Plot – It shows the frequency of data on a given number line. ‘ x ‘ is placed above a number line each time when that data occurs again.
  • Frequency Table – The table shows the number of pieces of data that falls within the given interval.
  • Circle Graph – Also known as the pie chart that shows the relationships of the parts of the whole. The circle is considered with 100% and the categories occupied is represented with that specific percentage like 15%, 56%, etc.
  • Stem and Leaf Plot – In the stem and leaf plot, the data are organised from least value to the greatest value. The digits of the least place values from the leaves and the next place value digit forms the stems.
  • Box and Whisker Plot – The plot diagram summarises the data by dividing into four parts. Box and whisker show the range (spread) and the middle ( median) of the data.

Graphical Representation

General Rules for Graphical Representation of Data

There are certain rules to effectively present the information in the graphical representation. They are:

  • Suitable Title: Make sure that the appropriate title is given to the graph which indicates the subject of the presentation.
  • Measurement Unit: Mention the measurement unit in the graph.
  • Proper Scale: To represent the data in an accurate manner, choose a proper scale.
  • Index: Index the appropriate colours, shades, lines, design in the graphs for better understanding.
  • Data Sources: Include the source of information wherever it is necessary at the bottom of the graph.
  • Keep it Simple: Construct a graph in an easy way that everyone can understand.
  • Neat: Choose the correct size, fonts, colours etc in such a way that the graph should be a visual aid for the presentation of information.

Graphical Representation in Maths

In Mathematics, a graph is defined as a chart with statistical data, which are represented in the form of curves or lines drawn across the coordinate point plotted on its surface. It helps to study the relationship between two variables where it helps to measure the change in the variable amount with respect to another variable within a given interval of time. It helps to study the series distribution and frequency distribution for a given problem.  There are two types of graphs to visually depict the information. They are:

  • Time Series Graphs – Example: Line Graph
  • Frequency Distribution Graphs – Example: Frequency Polygon Graph

Principles of Graphical Representation

Algebraic principles are applied to all types of graphical representation of data. In graphs, it is represented using two lines called coordinate axes. The horizontal axis is denoted as the x-axis and the vertical axis is denoted as the y-axis. The point at which two lines intersect is called an origin ‘O’. Consider x-axis, the distance from the origin to the right side will take a positive value and the distance from the origin to the left side will take a negative value. Similarly, for the y-axis, the points above the origin will take a positive value, and the points below the origin will a negative value.

Principles of graphical representation

Generally, the frequency distribution is represented in four methods, namely

  • Smoothed frequency graph
  • Pie diagram
  • Cumulative or ogive frequency graph
  • Frequency Polygon

Merits of Using Graphs

Some of the merits of using graphs are as follows:

  • The graph is easily understood by everyone without any prior knowledge.
  • It saves time
  • It allows us to relate and compare the data for different time periods
  • It is used in statistics to determine the mean, median and mode for different data, as well as in the interpolation and the extrapolation of data.

Example for Frequency polygonGraph

Here are the steps to follow to find the frequency distribution of a frequency polygon and it is represented in a graphical way.

  • Obtain the frequency distribution and find the midpoints of each class interval.
  • Represent the midpoints along x-axis and frequencies along the y-axis.
  • Plot the points corresponding to the frequency at each midpoint.
  • Join these points, using lines in order.
  • To complete the polygon, join the point at each end immediately to the lower or higher class marks on the x-axis.

Draw the frequency polygon for the following data

10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90
4 6 8 10 12 14 7 5

Mark the class interval along x-axis and frequencies along the y-axis.

Let assume that class interval 0-10 with frequency zero and 90-100 with frequency zero.

Now calculate the midpoint of the class interval.

0-10 5 0
10-20 15 4
20-30 25 6
30-40 35 8
40-50 45 10
50-60 55 12
60-70 65 14
70-80 75 7
80-90 85 5
90-100 95 0

Using the midpoint and the frequency value from the above table, plot the points A (5, 0), B (15, 4), C (25, 6), D (35, 8), E (45, 10), F (55, 12), G (65, 14), H (75, 7), I (85, 5) and J (95, 0).

To obtain the frequency polygon ABCDEFGHIJ, draw the line segments AB, BC, CD, DE, EF, FG, GH, HI, IJ, and connect all the points.

graphical representation of data and information is called

Frequently Asked Questions

What are the different types of graphical representation.

Some of the various types of graphical representation include:

  • Line Graphs
  • Frequency Table
  • Circle Graph, etc.

Read More:  Types of Graphs

What are the Advantages of Graphical Method?

Some of the advantages of graphical representation are:

  • It makes data more easily understandable.
  • It saves time.
  • It makes the comparison of data more efficient.
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graphical representation of data and information is called

Very useful for understand the basic concepts in simple and easy way. Its very useful to all students whether they are school students or college sudents

Thanks very much for the information

graphical representation of data and information is called

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What Is Data Visualization and Why Is It Important?

The sheer amount of data generated today means we need new ways to understand what’s happening in order to take action faster. Every click, transaction, subscription, loyalty card swipe, and social media interaction contributes to a digital footprint that continues to grow exponentially. The result? A massive explosion of data that is revolutionizing the way we live and work. Data visualization, in particular, plays a critical role in presenting data in a meaningful and understandable format. By using a visual representation of data , it’s much easier to identify patterns, trends, and relationships that may not be immediately apparent when sifting through large data sets.

Here’s what we’ll cover in this guide to data visualization: 

  • Data Visualization Definition 

Benefits of Data Visualization

Why data visualization is important .

  • Types of Data Visualization and Examples
  • Evaluating Data Visualization Tools
  • Take the Next Step and Start Analyzing With Data Visualization 

‍ Data Visualization Definition

Data visualization is the process of transforming raw data into visual formats, such as charts, graphs, or maps, to help identify patterns, trends, and insights that might not be apparent from numerical data alone. 

Additionally, it enables data to be more accessible, understandable, and impactful, especially when communicating with stakeholders, investors, or team members who may not be familiar with the data.

For example, data visualization could help:

  • In retail, gaining insights into customer behavior, purchase patterns, and product performance.
  • In finance, monitoring market trends, tracking portfolio performance, and conducting risk analysis. 
  • In public health, showing the geographical distribution of outbreaks and helping track the spread of infectious diseases.
  • In supply chain industries, tracking inventory levels, monitoring logistics operations, and optimizing resource allocation. 
  • In sports, evaluating player performance, game strategies, and match statistics.
  • In education, tracking student performance, analyzing learning outcomes, and identifying areas for improvement.

Data visualization has several benefits for businesses including: the ability to process information faster, identify trends at scale, and make data more digestible. Companies regularly use data to make decisions, and through data visualization, can find insights quickly and move to action. Data visualization specifically helps with the following:

  • Visualizing patterns and relationships
  • Storytelling, including specifically data storytelling
  • Accessibility to information 

Exploration

Let’s take a look at each of these benefits in detail. 

‍ Visualize patterns and relationships

Data visualization constitutes an excellent method for the discernment of interconnections and patterns amidst vast collections of information. For example, a scatter plot can be used to display the relationship between two variables, such as the correlation between temperature and sales. This enables users to understand the relationship and identify trends and outliers more quickly and easily.

Read a guide of Sigma’s visual library.

graphical representation of data and information is called

Storytelling

Your audience, whether it's coworkers or clients, want to hear a coherent story from your data. Storytelling with data cannot be done successfully without visualizations. Colorful charting and dynamic pivots are just as important as characters and plots are in a traditional story, so using them to communicate information makes data that much more engaging and memorable for audiences. Data can be complex and convoluted for some audiences, so data storytelling is an approach to convey important information effectively through a captivating narrative. Good visualizations are a vital part of that narrative.  

For example, if an analyst is investigating the performance of e-commerce sales for their retail company over time, they may leverage several data sources such as spreadsheets, calculations, code, etc. to do so. However, when they report these new insights to their stakeholders, the analyst will need to summarize and communicate their findings in a digestible way. 

An easy way the analyst could do this is by using the data to create a map of the U.S. with a color gradient overlaying every state that is lighter or darker based on its total sales volume. This visual story tells the least and most successful retail locations at a glance.

graphical representation of data and information is called

Accessibility / Easily Share Information

Data visualization serves as an invaluable mechanism for the facilitation of accessibility, allowing for the communication of information amongst individuals, even for those who may not usually engage with data , which broadens the audience.

Visualizations help simplify complex information by leveraging people’s ability to naturally recognize patterns. A viewer typically does not have to be taught that bigger means more and that smaller means less. In a case where an analyst wants to highlight the difference in scale between one product’s profitability vs. another, a bar chart can clearly show the user which product is more profitable and by how much, making it easy for even non-technical team members to understand and compare the performance of different products.

Exploration is a key component of successful data visualization. The more flexible charting and dashboarding is, the more follow-up questions end users can ask directly of their data. For example, an interactive dashboard can be used to explore retail sales data over time, enabling users to filter and drill down into the data to identify trends and patterns.

Data visualization exploration is often associated with the concept of “drill downs.” Drill downs in data visualization refer to the process of starting with an overview of data and then narrowing the focus to more specific aspects of it. As an example, one might start with a visualization of global climate data and drill down to data about a specific country, a specific state, a specific city, or even a specific neighborhood within that city. Each drill down reveals more precise, detailed, and nuanced information. 

The main goal of data visualization is that it helps unify and bring teams onto the same page. The human mind is wired to grasp visual information more effortlessly than raw data in spreadsheets or detailed reports. Thus, graphical representation of voluminous and intricate data is more user-friendly. Data visualization offers a swift and straightforward method to communicate ideas in a universally understood format, with the added benefit of enabling scenario testing through minor modifications.

By translating information into visual form, it ensures everyone, irrespective of the complexity of the data or the depth of the analysis, can share a unified understanding. Any industry can benefit from using data visualization, because pretty much every industry relies on data to power it. That includes finance, marketing, consumer goods, education, government, sports, history, and many more. ‍ Another thing to keep in mind is that data visualization can be a double-edged sword. For example, charts can be manipulated and skewed to force a desired outcome. Ungoverned, static, desktop tools can become the wild west in suggesting an inaccurate outcome “proven by data.” Even in the cases where the visualization builder is acting in good faith, there are still pitfalls to watch out for. Always be considerate of:

  • Individual outliers having an outsized impact, skewing the visual direction of a chart
  • The need for for business users to see the underlying data
  • Allowing for transparency down to row-level detail in data sets

graphical representation of data and information is called

Types of Data Visualizations & Examples

There is a long list of types of data visualization techniques and methods that can be used to represent data. While no type of data visualization is perfect, we’ll walk through different examples and when to apply each one. 

We’ll be looking at:

  • Line charts and area charts
  • Scatter plots 
  • Pivot tables
  • Box-and-whisker plots
  • Sankey charts 

Tables, although more commonly thought of as a data source, can also be considered a type of data visualization. Especially when conditional formatting is applied to the table’s rows and columns, the data within the table becomes more visually engaging and informative. With conditional formatting, important insights and patterns can be highlighted, making it easier for viewers to identify trends and outliers at a glance. Additionally, tables offer a structured and organized way to present information, allowing for a comprehensive comparison of data points, which further enhances data understanding and analysis. ‍ For example, Sigma’s UI is based on a spreadsheet-like interface, which means almost everything in Sigma begins in a table format. That said, you can also create visual tables that display a smaller amount of data in order to tell a clearer story. In data visualization, tables are a simplified way of representing this interface. 

When to use tables:

  • For detailed numeric comparisons, or when precision of data is key
  • For displaying multidimensional data; tables can handle this complexity quite well

When to avoid tables: 

  • When patterns, trends, or relationships need to be highlighted at a glance
  • When dealing with large amounts of data

graphical representation of data and information is called

Pie charts —similar to stacked bar charts—are useful for displaying categorical data, such as market share or customer demographics. Pie charts are often used to display data that can be divided into categories or subgroups, and to show how each category or subgroup contributes to the whole. For example, a pie chart could be used to show the proportion of sales for different product categories in a given period of time, or the percent of a company's revenue broken down by various regions.

When to use pie charts:

  • You want to display a proportion or percentage of a whole
  • You’re visualizing only seven categories or less

When to avoid pie charts:

  • You’re visualizing more than seven categories
  • You want to compare something with more details, rather than just proportion
  • You want to display and pinpoint exact values 

graphical representation of data and information is called

A bar chart, or bar graph, constitutes a variety of graphs that employ rectangular bars to depict data. These bars can be oriented either horizontally or vertically, with their extent being directly proportional to the numerical values they are intended to embody. Predominantly utilized for juxtaposing data across disparate categories or illustrating shifts in data over temporal progressions, bar charts offer a straightforward, yet potent means of conveying information visually. They frequently function as the initial tool in the exploratory process of data investigation.

When to use bar charts:

  • Emphasizing and contrasting different sets of data, making the disparities or similarities between categories clear
  • To display a subset of a larger dataset

When to avoid bar charts: 

  • When a particular field encompasses an overwhelming variety of data types
  • When the differences between fields are too subtle, or when these differences exist on different scales, as it could lead to confusion or misinterpretation

Line Charts & Area Charts

graphical representation of data and information is called

Line charts and area charts are two types of charts that are commonly used to visualize data trends over time. A line chart, also called a line graph, is a distinct type of graphical representation that exhibits information in the form of a multitude of data points, which are interconnected by unbroken lines. These line charts are typically employed to demonstrate transformations in data over a certain duration, where the horizontal axis symbolizes time, and the vertical axis signifies the values under scrutiny. Furthermore, they can serve to juxtapose several series of data within the same chart, or to graphically illustrate predicted time periods. 

For example, a line chart can be used to visualize a company's stock prices over the course of a year. Similarly, an area chart can be used to visualize the temperature changes over a day.

When to use line charts:

  • When you’re displaying time-based continuous data 
  • When you have multiple series or larger datasets 

When to avoid line charts:

  • When you have smaller datasets, bar charts are likely a better way to present the information 
  • Avoid when you need to compare multiple categories at once

graphical representation of data and information is called

When to use area charts:

  • When you want to display the volume of the data you have 
  • When comparing data across more than one time period 

When to avoid area charts:

  • Avoid if you need to compare multiple categories, as well as when you need to examine the specific data value

Scatter Plots

graphical representation of data and information is called

A scatter plot , also called a scatter chart or scatter graph, is a specialized form of chart that demonstrates the correlation between two distinct variables by mapping them as a succession of individual data points. Each data point denotes a combined value of the two variables, with its specific placement within the chart dictated by these values.

Scatter charts prove instrumental in discerning patterns and trends within data, and they also help us understand how strong and in what direction the relationship is between two variables. They also serve as effective tools for identifying outliers, or those data points that deviate significantly from anticipated values based on the pattern displayed by other data points. These charts find widespread use across a range of fields including, but not limited to, statistics, engineering, and social sciences, for the purpose of analyzing and visualizing intricate data sets. In the realm of business, they are frequently utilized to identify correlations between different variables, for instance, examining the relationship between marketing outlays and resultant sales revenue. ‍ For example, a scatter plot might be used to visualize the relationship between the age and income of a group of people. Another example would be to plot the correlation between the amount of rainfall and the crop yield for a particular region.

When to use scatter plots:

  • Highlight correlations within your data
  • They are useful tools for statistical investigations
  • Consider scatter plots to reveal underlying patterns or trends

When to avoid scatter plots:

  • For smaller datasets, scatter plots may not be optimal
  • Avoid scatter plots for excessively large datasets to prevent unintelligible data clustering
  • If your data lacks correlations, scatter plots may not be the best choice

Pivot Tables

While pivot tables may not be what first comes to mind for data visualization, they can give important context with hard numbers and provide strong visual indicators through formatting. ‍ Pivot tables can also be enhanced with conditional formatting to provide color scales that make performance trends more visible. Data bars can also be added to cells to run either red or green for positive and negative values. 

When to Use Pivot Tables:

  • Cohort analysis performance trends or portfolio analysis with a mix of positive and negative values

What Not to Use Pivot Tables:

  • When your dataset is too large to get a good understanding of the whole
  • When data can easily be summarized with a bar chart instead

graphical representation of data and information is called

An example of a pivot table, where colors are used to show positive or negative progress on a company’s portfolio. The user can pivot the table to show multiple categories in different ways.

A heat map is a type of chart that uses color to represent data values. It is often used to visualize data that is organized in a matrix or table format. The color of each cell in the matrix is determined by the value of the corresponding data point. Heat maps are best used when analyzing data that is organized in a two-dimensional grid or matrix.

For example, a heat map can be used to visualize a company's website traffic, where the rows represent different pages on the website, and the columns represent different periods of time.

When to use heat maps:

  • When you need to visualize the density or intensity of variables
  • When you want to display patterns or trends over time or space 

When to avoid heat maps:

  • When precise values are needed; heat maps are better at showing relative differences rather than precise values
  • When working with small data sets 

A tree map is a type of chart that is used to visualize hierarchical data. It consists of a series of nested rectangles, where the size and color of each rectangle represent a different variable. Tree maps are best used when analyzing data that has a hierarchical structure.

For example, a tree map can be used to visualize the market share of different companies in an industry. The largest rectangle would represent the entire industry, with smaller rectangles representing the market share of each individual company.

When to use tree maps:

  • When you want to visualize hierarchical data
  • When you need to illustrate the proportion of different categories within a whole 

When to avoid tree maps:

  • When exact values are important
  • When there are too many categories

Box-and-Whisker Plots

graphical representation of data and information is called

Box plots are useful for quickly summarizing the distribution of a dataset, particularly its central tendency and variability. For example, a box-and-whisker plot can be used to visualize the test scores of a group of students. 

Colloquially recognized as a box-and-whisker plot, a box plot is a distinct form of chart that showcases the distribution of a collection of numerical data through its quartile divisions. Box plots serve as efficient tools for rapidly encapsulating the distribution of a dataset, specifically its central propensity and variability. 

A box-and-whisker plot consists of a rectangle (the "box") and a pair of "whiskers" that extend from it. The box embodies the middle 50% of the data, with the lower boundary of the box signaling the first quartile (25th percentile) and the upper boundary of the box indicating the third quartile (75th percentile). The line situated within the box signifies the median value of the data. The whiskers project from the box to the minimum and maximum values of the data, or to a designated distance from the box referred to as the "fences." Any data points that reside outside the whiskers or fences are categorized as outliers and are plotted as individual points. When to use box plot charts:

  • When you want to display data spread and skewness
  • When showcasing the distribution of data, including the range, quartiles, and potential outliers
  • When comparing multiple groups or categories side-by-side; they allow for easy comparison of different distributions.

When to avoid box plot charts:

  • If you need to show more detail, since box plots focus on a high-level summary 
  • When individual data points are important to the story you’re telling
  • When your audience isn’t familiar with them, since they can sometimes be less intuitive than other types of visualizations

A histogram is a type of chart that displays the distribution of a dataset. It consists of a series of vertical bars, where the height of each bar represents the number of observations in a particular range. Histograms are best used when analyzing continuous data. It’s used the most when you want to understand the frequency distribution of a numerical variable, like height, weight, or age. For example, a histogram can be used to visualize the distribution of heights in a population. Read more about building histograms in Sigma here.

When to Use a Histogram:

  • When understanding the shape of a distribution; for example, whether it’s symmetric, skewed to the left or right, or bimodal
  • When identifying outliers, like which data points are significantly different from the rest of the data
  • When comparing distribution of a variable across different groups, such as males and females, or different age groups.
  • To set boundaries for data ranges; for example, you might use a histogram to determine what constitutes a "normal" or "abnormal" value for a particular variable

When to Avoid a Histogram:

  • When you need to look at multiple dimensions at the same time
  • If your data isn’t all on the same scale

Sankey Charts

graphical representation of data and information is called

We end our guide with the controversial Sankey chart. A Sankey chart is a type of diagram that illustrates the movement or transfer of data, resources, or quantities through various stages of a system or process. Common applications of Sankey charts include visualizing complex sequences like energy usage, material distribution, or even a website's user journey. The structure of the chart includes nodes and links—with nodes representing the starting points, endpoints, or intermediate steps, and links depicting the transition of quantities or data between these nodes.

The thickness of the links in a Sankey chart directly corresponds to the volume of data or resources being moved, offering an intuitive comparison of the relative sizes of these transfers. They can be invaluable for recognizing inefficiencies, bottlenecks, or potential areas for enhancement in a system or process. These charts serve as a powerful tool for communicating complex information in a straightforward and comprehensible way. However, if there are too many nodes or links, Sankey charts can become cluttered and challenging to interpret, hence their use should be considerate and targeted.

‍ When to use Sankey charts:

  • When you want to show the data as part of a process

When to avoid Sankey charts:

  • When it starts to feel too confusing, which can quickly happen when there are too many nodes or links
  • When you need to see exact values, it might not be the most intuitive option. 

Evaluating Data Visualization Tools 

Data visualization tools have become increasingly popular in recent years, with a wide variety of options available to choose from. However, determining which tool best suits your needs can be challenging with so many options. When evaluating data visualization tools, there are several key questions to consider:

  • What are your goals and needs?   It's crucial to clearly understand your goals and needs before selecting a data visualization tool. Are you looking to explore your data, communicate a specific message, or both? Understanding your objectives will help you choose the right tool for your project.
  • What features do you require?   Different data visualization tools come with different features. Before selecting a tool, you should consider what features you need to achieve your goals. For example, do you require interactive capabilities or the ability to create custom visualizations?
  • Where will your data come from?   The source of your data is another critical factor to consider when selecting a data visualization tool. Some tools are better suited for specific types of data, such as structured or unstructured data, while others may require specific file formats or data storage solutions.
  • Where will you need to see your data?   Different data visualization tools may be more suitable for specific platforms or devices. For example, some tools may be optimized for mobile devices, while others are designed for desktop computers or specific web browsers. You may also be interested in embedding visualizations elsewhere , such as internal applications or external portals.
  • Where would you like to publish your visualization?   Finally, consider where you would like to publish your visualization. Some tools may provide built-in publishing capabilities, while others may require you to export your visualization to a separate platform. Selecting a tool that supports your publishing needs is important to ensure your visualization reaches your intended audience.

By considering these key questions, you can evaluate different data visualization tools and select the one that best meets your needs.

Read a side-by-side comparison of Sigma against similar BI tools.

Take the Next Step & Start Analyzing With Data Visualization

Data visualization is a powerful tool for understanding and communicating complex data. While there are many data visualization tools on the market, Sigma offers an intuitive and familiar spreadsheet interface that allows users to easily explore, analyze, and collaborate on their data. 

Explore Sigma’s capabilities and start transforming your data today via a free trial of Sigma .

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Graphical Representation: Advantages, Types & Examples

Graphical Representation: A graph is a categorised representation of data. It helps us understand the data easily. Data is a collection of numerical figures collected through surveying. The word data came from the Latin word ‘Datum’, which means ‘something given’. After developing a research question, data is being collected constantly through observation. Then the data collected is arranged, summarised, classified, and finally represented graphically. This is the concept of graphical representation of data.

Let’s study different kinds of graphical representations with examples, the types of graphical representation, and graphical representation of data in statistics, in this article.

What Are Graphical Representations?

Graphical representation refers to the use of intuitive charts to visualise clearly and simplify data sets. Data obtained from surveying is ingested into a graphical representation of data software. Then it is represented by some symbols, such as lines on a line graph, bars on a bar chart, or slices of a pie chart. In this way, users can achieve much more clarity and understanding than by numerical study alone. 

Advantages of Graphical Representation

Some of the advantages of using graphs are listed below:

  • The graph helps us understand the data or information even when we have no idea about it.
  • It saves time.
  • It makes it easier for us to compare the data for different time periods or different kinds.
  • It is mainly used in statistics to determine the mean, median and mode for different data and interpolation and extrapolation of data.

Use of Graphical Representations

The main agenda of presenting scientific data into graphs is to provide information efficiently to utilise the power of visual display while avoiding confusion or deception. This is important in communicating our findings to others and our understanding and analysis of the data.

Graphical data representation is crucial in understanding and identifying trends and patterns in the ever-increasing data flow. Graphical representation helps in quick analysis of large quantities and can support making predictions and informed decisions.

General Rules for Graphical Representation of Data

The following are a few rules to present the information in the graphical representation:

  • Suitable title:  The title of the graph should be appropriate that indicates the subject of the presentation.
  • Measurement unit:  The measurement unit in the graph should be mentioned.
  • Proper scale:   Choose a proper scale to represent the data accurately.
  • Index:  For better understanding, index the appropriate colours, shades, lines, and designs in the graphs. 
  • Data sources:  Data should be included wherever it is necessary at the bottom of the graph.
  • Keep it simple:  The construction of a graph should be such a way that it is effortlessly understood.
  • Neat:  The correct size, fonts, colours etc., should be chosen so that the graph should be a visual aid for presenting the information.

Types of Graphical Representation

1. Line graph 2. Histogram 3. Bar graph 4. Pie chart 5. Frequency polygon 6. Ogives or Cumulative frequency graphs

1. Line Graph

A line graph is a chart used to show information that changes over time. We plot line graphs by connecting several points with straight lines.  Another name is a line chart. The line graph contains two axes: \(x-\)axis and \(y-\)axis.

  • The horizontal axis is the \(x-\)axis.
  • The vertical axis is the \(y-\)axis.

Example: The following graph shows the number of motorbikes sold on different days of the week.

Line Graph

2. Histogram

Continuous data represented on the two-dimensional graph is called a histogram. In the histogram, the bars are placed continuously side by side without a gap between consecutive bars. In other words, rectangles are erected on the class intervals of the distribution. The areas of the rectangles formed by bars are proportional to the frequencies.

Example: Following is an example of a histogram showing the average pass percentage of students.

Histogram

3. Bar Graph

Bar graphs can be of two types – horizontal bar graphs and vertical bar graphs. While a horizontal bar graph is applied for qualitative data or data varying over space, the vertical bar graph is associated with quantitative data or time-series data.

Bars are rectangles of varying lengths and of equal width usually are drawn either horizontally or vertically. We consider multiple or grouped bar graphs to compare related series. Component or sub-divided bar diagrams are applied for representing data divided into several components. 

Example:  The following graph is an example of a bar graph representing the money spent month-wise

Bar Graph

4. Pie Chart

The sector of a circle represents various observations or components, and the whole circle represents the sum of the value of all the components. The total central angle of a circle is \({360^{\rm{o}}}\) and is divided according to the values of the components.

The central angle of a component\( = \frac{{{\rm{ value}}\,{\rm{of}}\,{\rm{the}}\,{\rm{component }}}}{{{\rm{total}}\,{\rm{value}}}} \times {360^{\rm{o}}}\)

Sometimes, the value of the components is expressed in percentages. In such cases, The central angle of a component\( = \frac{{{\rm{ percentage}}\,{\rm{value}}\,{\rm{of}}\,{\rm{the}}\,{\rm{component }}}}{{100}} \times {360^{\rm{o}}}\)

Example:  The following figure represents a pie-chart

Pie Chart

5. Frequency Polygon

A frequency polygon is another way of representing frequency distribution graphically. Follow the steps below to make a frequency polygon:

(i) Calculate and obtain the frequency distribution and the mid-points of each class interval. (ii) Represent the mid-points along the \(x-\)axis and the frequencies along the \(y-\)axis. (iii) Mark the points corresponding to the frequency at each midpoint. (iv) Now join these points in straight lines. (v) To finish the frequency polygon, join the consecutive points at each end (as the case may be at zero frequency) on the \(x-\)axis.

Example: The following graph is the frequency polygon showing the road race results.

Frequency Polygon

6. Ogives or Cumulative Frequency Graphs

By plotting cumulative frequency against the respective class intervals, we obtain ogives. There are two ogives – less than type ogives and more than type.

Less than type ogives is obtained by taking less than cumulative frequency on the vertical axis. We can obtain more than type ogives by plotting more than type cumulative frequency on the vertical axis and joining the plotted points successively by line segments.

Example: The below graph represents the less than and more than ogives for the entrance examination scores of \(60\) students.

Ogives or Cumulative Frequency Graphs

Solved Examples – Basic Graphical Representation

Q.1. The wildlife population in the following years, \(2013, 2014, 2015, 2016, 2017, 2018,\) and \(2019\) were \(300, 200, 400, 600, 500, 400\) and \(500,\) respectively. Represent these data using a line graph. Ans: We can represent the population for seven consecutive years by drawing a line diagram as given below. Let us consider years on the horizontal axis and population on the vertical axis.

For the year \(2013,\) the population was \(300.\) It can be written as a point \((2013, 300)\) Similarly, we can write the points for the succeeding years as follows: \((2014, 200), (2015, 400), (2016, 600), (2017, 500), (2018, 400)\) and \((2019, 500)\)

We can obtain the line graph by plotting all these points and joining them using a ruler. The following line diagram shows the population of wildlife from \(2013\) to \(2019.\)

 Basic Graphical Representation

Q.2. Draw a histogram for the following data that represents the marks scored by \(120\) students in an examination:

\(0-20\)\(20-40\)\(40-60\)\(60-80\)\(80-100\)
\(5\)\(10\)\(40\)\(45\)\(20\)

Ans: The class intervals are of an equal length of \(20\) marks. Let us indicate the class intervals along the \(x-\)axis and the number of students along the \(y-\)axis, with the appropriate scale. The histogram is given below.

 Basic Graphical Representation

Q.3. The total number of scoops of vanilla ice cream in the different months of a year is given below:

\(240\)\(400\)\(440\)\(320\)\(200\)

For the above data, draw a bar graph. Ans: The following graph represents the number of vanilla ice cream scoops sold from March to July. The month is indicated along the \(x-\)axis, and the number of scoops sold is represented along the \(y-\)axis.

 Basic Graphical Representation

Q.4. The number of hours spent by a working woman on various activities on a working day is given below. Using the angle measurement, draw a pie chart.

\(3\)\(7\)\(2\)\(9\)\(1\)\(2\)

Ans: The central angle of a component\( = \frac{{{\rm{ value}}\,{\rm{of}}\,{\rm{the}}\,{\rm{component }}}}{{{\rm{total}}\,{\rm{value}}}} \times {360^{\rm{o}}}\). We may calculate the central angles for various components as follow:

Household\(3\)\(\frac{3}{{24}} \times {360^{\rm{o}}} = {45^{\rm{o}}}\)
Sleep\(7\)\(\frac{7}{{24}} \times {360^{\rm{o}}} = {105^{\rm{o}}}\)
Cooking\(2\)\(\frac{2}{{24}} \times {360^{\rm{o}}} = {30^{\rm{o}}}\)
Office\(9\)\(\frac{9}{{24}} \times {360^{\rm{o}}} = {135^{\rm{o}}}\)
TV\(1\)\(\frac{1}{{24}} \times {360^{\rm{o}}} = {15^{\rm{o}}}\)
Other\(2\)\(\frac{2}{{24}} \times {360^{\rm{o}}} = {30^{\rm{o}}}\)
Total\(24\)\({360^{\rm{o}}}\)

By knowing the central angle, a pie chart is drawn,

 Basic Graphical Representation

Q.5. Draw a frequency polygon for the following data using a histogram.

\(140-145\)\(145-150\)\(150-155\)\(155-160\)\(160-165\)\(165-170\)\(170-175\)
\(35\)\(40\)\(55\)\(50\)\(40\)\(35\)\(20\)

Ans: To draw a frequency polygon, we take the imagined classes \(135-140\) at the beginning and \(175-180\) at the end, each with frequency zero. The following is the frequency table tabulated for the given data

\(140-145\)\(142.5\)\(35\)
\(145-150\)\(147.5\)\(40\)
\(150-155\)\(152.5\)\(55\)
\(155-160\)\(157.5\)\(50\)
\(160-165\)\(162.5\)\(40\)
\(165-170\)\(167.5\)\(35\)
\(170-175\)\(172.5\)\(20\)

Let’s mark the class intervals along the \(x-\)axis and the frequency along the \(y-\)axis.

 Basic Graphical Representation

Using the above table, plot the points on the histogram: \((137.5, 0), (142.5, 35), (147.5, 40), (152.5, 55), (157.5, 50), (162.5, 40),\) \((167.5, 35), (172.5, 20)\) and \((177.5, 0).\)

We join these points one after the other to obtain the required frequency polygon.

In this article, we have studied the details of the graphical representation of data. We learnt the meaning, uses, and advantages of using graphs . Then we studied the different types of graphs with examples. Lastly, we solved examples to help students understand the concept in a better way.

Frequently Asked Questions (FAQs) on Basic Graphical Representation

Q.1: What are graphical representations? Ans: Graphical representations represent given data using charts or graphs numerically and then visually analyse and interpret the information.

Q.2: What are the 6 types of graphs used? Ans: The following are the types of graphs we use commonly: 1. Line graph 2. Histogram 3. Bar graph 4. Pie chart 5. Frequency polygon 6. Ogives or cumulative frequency graphs

Q.3: What are the advantages of the graphical method? Ans: The advantages of using a graphical method are: 1. Facilitates improved learning 2. Knowing the content 3. Usage of flexibility 4. Increases thinking 5. Supports creative, personalised reports for more engaging and stimulating visual presentations 6. Better communication 7. It shows the whole picture

Q.4: What is the graphical representation of an idea? Ans: The graphical representations exhibit relationships between ideas, data, information and concepts in a visual graph or map. Graphical representations are effortless to acknowledge.

Q.5: How do you do frequency polygon? Ans: Frequency distribution is first obtained, and the midpoints of each class interval are found. Mark the midpoints along the \(x-\)axis and frequencies along the \(y-\)axis. Plot the points corresponding to the frequency. Join the points, using line segments in order.

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  • Graphical Representation of Data

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Overview to Graphical Representation of Data

Mathematics is a field that deals with the gathering, analysis, interpretation, and presentation of numerical information in a very approach that's straightforward to know and compare. Business statistics, demographics,  statistics, and in other spheres of work graphical representation is used.

Tables and graphs show the area of information. People capture more information as soon as it is presented in a more attractive way than in any other format. Graphs are an effective way for showing comparisons between things completely as it has always been straightforward to explore the full information associated with different things.

The use of accurate charts to properly visualize and modify information sets is called image processing. The information is redirected to a computer image code and is represented by a variety of symbols, such as lines on a line chart, bar charts, or chart items, wherever users will gain more insight than numbers. analysis only.

Standalone images will help, predict and create advanced data-driven options by quickly depicting common behaviours and simple, unusual events, and interactions between information objects that cannot be marked. The categories of graphic images used are determined by the type of information being investigated.

Data charts are available in a variety of formats, as well as maps, diagrams, and graphs, and often contain written articles and fables to show the purpose of the chart, units of measurement, and variations, type of information, target chart and whether or not a general image in choosing the most effective chart.

Different Formats

1. Line Graphs - A line graph could be a visual illustration of how the worth of variables changes over time. Points with completely different variable values are coupled to create this graph. It may help evaluate information trends and predict future trends.

2. Graphs Bars - A bar chart could be a form of illustration of knowledge during which bars of a similar dimension are drawn on one axis (usually x-axis) with an equal area between them, showing dynamics. The length of the bars represents the variable values.

3. Histograms - this is often just like bar graphs, except that it supports the numbers' frequency instead of their actual values. The info is broken into intervals, and also the bars represent the frequency vary at intervals. That is, it calculates what percentage information values fall at intervals a given distance.

4. Pie Chart - A kind of graph during which information is pictured as a circular graph. A circle is split into sections, each representing a share of the full.

5. Heatmap - A heatmap could be a two-dimensional, matrix-coloured matrix during which every cell represents a group of knowledge and also the colour of every cell indicates its relative importance.

6. Purpose Map - Point map could be a contract answer for CAD and GIS for writing and an answer that edits the world and line of longitude inform variables to check information mapping.

Benefits of Graphics Illustration

The ability to investigate and perceive giant amounts of numerical information and also the relationship between information points needs table usage and graphical illustration of knowledge. One of the foremost vital ways to investigate information is to check information, providing a straightforward and comprehensive way to represent, visualize, and discuss advanced information patterns.

1. Graphics build information easier to interpret and clear language and learning barriers, simplifying and rising learning.

2. Content comprehension is easily done by human understanding.

3. Performance flexibility: Image displays may be employed in nearly any data-related field.

4. Increase organized thinking: visual aids enable users to create quicker, data-driven selections at a look.

5. Supports engaging and fun visual displays by permitting inventive, relevant reports.

6. Improves communication: reading graphics that emphasize key themes is quicker than reading a close line-by-line report.

7. Shows the full picture: all dynamics, time frames, information behaviour, and relationships are displayed in real-time.

Understanding and distinguishing patterns and trends within the ever-increasing flow of knowledge need a transparent visual illustration of the info. The employment of image displays permits speedy synchronous testing of massive information, which might facilitate the formation of foreseeable predictions and knowledgeable selections.

Graphical representation is a method of numerical data analysis. It shows a diagram of the relationship between knowledge, ideas, information, and concepts. It is easy to understand and one of the key learning strategies. The knowledge in a particular domain always depends on the type of information.

The visual representation forms are distinct. Some of the following are:

1. Line Graphs: Linear graphs display the continuous data and are useful for the prediction of future events over time.

2. Bar Graphs: Bar Graph is used for displaying the classification of details and compares data to the amounts by using solid bars.

3. Histograms: This chart, which uses bars to represent the frequency of numerical data, which are grouped in intervals, has the same width. Since all intervals are similar and continuous.

4. Line Plot: It shows the data frequency on a given line. 

5. Frequency Table: The table shows the number of data pieces within the interval given.

6. Circle Graph: Circle graph is a diagram which shows the relationships of the entire component. The circle shall be 100% and the categories occupied shall be represented by a certain percentage, such as 15%, 56%, etc.

7. Stem and Leaf Plot: Data from the lowest value to the highest value are arranged in the stem and leaf plot. The pictures of the lowest places in the sheets and the next places are the numbers.

8. Box and Whisker Plot: The diagram sums up the data in four sections. The graph is shown. Box and whisker indicate the range of information (distribution) and the medium data range.

General Rules for Graphical Representation of Data

There are some rules to display the data and information effectively in the graphical picture. They are as stated below:

Suitable Title: Ensure that the chart showing the topic of the presentation is given the appropriate title.

Measurement Unit: Make sure to mention the unit of measurement in the graph.

Proper Scale: Choose a proper scale to represent the data in an accurate manner.

Index: Index the corresponding colours, shades, rows, graphs format to better understand.

Data Sources: Include the information source at the bottom of the graph wherever necessary.

Keep it Simple: Construct a graph in an easy way that everyone can understand.

Neat: Choose the correct size, lettering, colours, etc. so that the chart is a visual aid to the screen.

Graphical Representation in Maths:

For mathematics, a diagram is a graph with statistical data represented by curves or lines across the coordinate point on its surface. It helps to research the relation between two variables whereby the change of the variable amount in respect of another variable can be calculated within a certain time interval. The distribution of the sequence and the frequency distribution can be analysed for a particular problem.

The data can be visually represented with two types of graphs. As listed below, they are as follows:

Time Series Graphs

Example: Line Graph.

Frequency Distribution Graphs

Example: Frequency Polygon Graph.

Principles of Graphical Representation:

All forms of graphical data representation are governed by algebraic principles. For diagrams, the co-ordinate axis is represented with two rows. The X-axis is a horizontal axis, while the Y-axis is indicated on the vertical axis. The intersecting point of two lines is called ‘O’. Take x-axis into account that the distance between origin and right is good and the distance between the source and left is good. The distance above the origin is also positive for the y-axis, and the distance below the origin is negative.

Generally, frequency distribution is represented in the following methods, namely:

Smoothed frequency graph.

Pie diagram.

Cumulative or ogive frequency graph.

Frequency Polygon.

Merits of Using Graphs.

Advantages of Graphical Representation of Data

The visual depiction of documents has different advantages that are as follows: 

This report is suitable for busy people because it emphasizes the subject of the report comfortably. It helps to avoid wasting time.

Data can be contrasted in terms of graphic representation. This kind of comparative analysis helps to understand and focus easily.

It takes a lot of time to correctly present concise data.

Corporate managers study the diagrams and very easily decide about the feasibility of the document.

A logical sequence is developed to clarify the public definition when tables, models, and graphs are used for data.

Poorly trained or illiterate people can easily understand graphics because a line-by-line diagram does not require a concise text.

Tables need less effort and less time for modelling, graphs, and pictures. This approach is always easy to understand the details.

Errors are reliable, insightful or descriptive. Since graphic figures, tablets and diagrams show less error and error usually.

The viewer gets a simple, complete idea from this depiction. There can be no place to judge 100 words.

Disadvantages of Graphical Representation of Data:

Document graphic representation is not unrestricted. The graphical representation problems of data or reports are as follows: 

The reports of graphical representation are costly because of the images, and colours. Combining content with human effort is costly in terms of visual layout.

It takes less time to represent a normal file, but the representation of the graph takes time since graphs and figures rely on more time.

Inconsistencies are all likely to occur due to the sophistication of the graphical representations. It leads to community awareness problems.

Graphs show the complete view of data that can keep anything from being kept secret.

Sample Example for Frequency polygon:

Here are the steps to be followed in order to find the frequency distribution of a polygon and it is graphically represented.

Get the frequency distribution and find the intervals of each group.

Mark the middle points along with the X-axis and y-axis frequencies.

At each mid-point, draw the points that are the same as the frequency.

Using lines in order to incorporate these details.

To complete the polygon, attach the point to the bottom or high-class points in the X-axis immediately at each end.

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NCERT Study Material

  • Graphic Presentation of Data

Apart from diagrams, Graphic presentation is another way of the presentation of data and information. Usually, graphs are used to present time series and frequency distributions. In this article, we will look at the graphic presentation of data and information along with its merits, limitations , and types.

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Construction of a graph.

The graphic presentation of data and information offers a quick and simple way of understanding the features and drawing comparisons. Further, it is an effective analytical tool and a graph can help us in finding the mode, median, etc.

We can locate a point in a plane using two mutually perpendicular lines – the X-axis (the horizontal line) and the Y-axis (the vertical line). Their point of intersection is the Origin .

We can locate the position of a point in terms of its distance from both these axes. For example, if a point P is 3 units away from the Y-axis and 5 units away from the X-axis, then its location is as follows:

presentation of data and information

Browse more Topics under Descriptive Statistics

  • Definition and Characteristics of Statistics
  • Stages of Statistical Enquiry
  • Importance and Functions of Statistics
  • Nature of Statistics – Science or Art?
  • Application of Statistics
  • Law of Statistics and Distrust of Statistics
  • Meaning and Types of Data
  • Methods of Collecting Data
  • Sample Investigation
  • Classification of Data
  • Tabulation of Data
  • Frequency Distribution of Data
  • Diagrammatic Presentation of Data
  • Measures of Central Tendency
  • Mean Median Mode
  • Measures of Dispersion
  • Standard Deviation
  • Variance Analysis

Some points to remember:

  • We measure the distance of the point from the Y-axis along the X-axis. Similarly, we measure the distance of the point from the X-axis along the Y-axis. Therefore, to measure 3 units from the Y-axis, we move 3 units along the X-axis and likewise for the other coordinate .
  • We then draw perpendicular lines from these two points.
  • The point where the perpendiculars intersect is the position of the point P.
  • We denote it as follows (3,5) or (abscissa, ordinate). Together, they are the coordinates of the point P.
  • The four parts of the plane are Quadrants.
  • Also, we can plot different points for a different pair of values.

General Rules for Graphic Presentation of Data and Information

There are certain guidelines for an attractive and effective graphic presentation of data and information. These are as follows:

  • Suitable Title – Ensure that you give a suitable title to the graph which clearly indicates the subject for which you are presenting it.
  • Unit of Measurement – Clearly state the unit of measurement below the title.
  • Suitable Scale – Choose a suitable scale so that you can represent the entire data in an accurate manner.
  • Index – Include a brief index which explains the different colors and shades, lines and designs that you have used in the graph. Also, include a scale of interpretation for better understanding.
  • Data Sources – Wherever possible, include the sources of information at the bottom of the graph.
  • Keep it Simple – You should construct a graph which even a layman (without any exposure in the areas of statistics or mathematics) can understand.
  • Neat – A graph is a visual aid for the presentation of data and information. Therefore, you must keep it neat and attractive. Choose the right size, right lettering, and appropriate lines, colors, dashes, etc.

Merits of a Graph

  • The graph presents data in a manner which is easier to understand.
  • It allows us to present statistical data in an attractive manner as compared to tables. Users can understand the main features, trends, and fluctuations of the data at a glance.
  • A graph saves time.
  • It allows the viewer to compare data relating to two different time-periods or regions.
  • The viewer does not require prior knowledge of mathematics or statistics to understand a graph.
  • We can use a graph to locate the mode, median, and mean values of the data.
  • It is useful in forecasting, interpolation, and extrapolation of data.

Limitations of a Graph

  • A graph lacks complete accuracy of facts.
  • It depicts only a few selected characteristics of the data.
  • We cannot use a graph in support of a statement.
  • A graph is not a substitute for tables.
  • Usually, laymen find it difficult to understand and interpret a graph.
  • Typically, a graph shows the unreasonable tendency of the data and the actual values are not clear.

Types of Graphs

Graphs are of two types:

  • Time Series graphs
  • Frequency Distribution graphs

Time Series Graphs

A time series graph or a “ histogram ” is a graph which depicts the value of a variable over a different point of time. In a time series graph, time is the most important factor and the variable is related to time. It helps in the understanding and analysis of the changes in the variable at a different point of time. Many statisticians and businessmen use these graphs because they are easy to understand and also because they offer complex information in a simple manner.

Further, constructing a time series graph does not require a user with technical skills. Here are some major steps in the construction of a time series graph:

  • Represent time on the X-axis and the value of the variable on the Y-axis.
  • Start the Y-value with zero and devise a suitable scale which helps you present the whole data in the given space.
  • Plot the values of the variable and join different point with a straight line.
  • You can plot multiple variables through different lines.

You can use a line graph to summarize how two pieces of information are related and how they vary with each other.

  • You can compare multiple continuous data-sets easily
  • You can infer the interim data from the graph line

Disadvantages

  • It is only used with continuous data.

Use of a false Base Line

Usually, in a graph, the vertical line starts from the Origin. However, in some cases, a false Base Line is used for a better representation of the data. There are two scenarios where you should use a false Base Line:

  • To magnify the minor fluctuation in the time series data
  • To economize the space

Net Balance Graph

If you have to show the net balance of income and expenditure or revenue and costs or imports and exports, etc., then you must use a net balance graph. You can use different colors or shades for positive and negative differences.

Frequency Distribution Graphs

Let’s look at the different types of frequency distribution graphs.

A histogram is a graph of a grouped frequency distribution. In a histogram, we plot the class intervals on the X-axis and their respective frequencies on the Y-axis. Further, we create a rectangle on each class interval with its height proportional to the frequency density of the class.

presentation of data and information

Frequency Polygon or Histograph

A frequency polygon or a Histograph is another way of representing a frequency distribution on a graph. You draw a frequency polygon by joining the midpoints of the upper widths of the adjacent rectangles of the histogram with straight lines.

presentation of data and information

Frequency Curve

When you join the verticals of a polygon using a smooth curve, then the resulting figure is a Frequency Curve. As the number of observations increase, we need to accommodate more classes. Therefore, the width of each class reduces. In such a scenario, the variable tends to become continuous and the frequency polygon starts taking the shape of a frequency curve.

Cumulative Frequency Curve or Ogive

A cumulative frequency curve or Ogive is the graphical representation of a cumulative frequency distribution. Since a cumulative frequency is either of a ‘less than’ or a ‘more than’ type, Ogives are of two types too – ‘less than ogive’ and ‘more than ogive’.

presentation of data and information

Scatter Diagram

A scatter diagram or a dot chart enables us to find the nature of the relationship between the variables. If the plotted points are scattered a lot, then the relationship between the two variables is lesser.

presentation of data and information

Solved Question

Q1. What are the general rules for the graphic presentation of data and information?

Answer: The general rules for the graphic presentation of data are:

  • Use a suitable title
  • Clearly specify the unit of measurement
  • Ensure that you choose a suitable scale
  • Provide an index specifying the colors, lines, and designs used in the graph
  • If possible, provide the sources of information at the bottom of the graph
  • Keep the graph simple and neat.

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Graphic representation of data: meaning, principles and methods.

graphical representation of data and information is called

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Read this article to learn about the meaning, principles and methods of graphic representation of data.

Meaning of Graphic Representation of Data:

Graphic representation is another way of analysing numerical data. A graph is a sort of chart through which statistical data are represented in the form of lines or curves drawn across the coordinated points plotted on its surface.

Graphs enable us in studying the cause and effect relationship between two variables. Graphs help to measure the extent of change in one variable when another variable changes by a certain amount.

Graphs also enable us in studying both time series and frequency distribution as they give clear account and precise picture of problem. Graphs are also easy to understand and eye catching.

General Principles of Graphic Representation:

There are some algebraic principles which apply to all types of graphic representation of data. In a graph there are two lines called coordinate axes. One is vertical known as Y axis and the other is horizontal called X axis. These two lines are perpendicular to each other. Where these two lines intersect each other is called ‘0’ or the Origin. On the X axis the distances right to the origin have positive value (see fig. 7.1) and distances left to the origin have negative value. On the Y axis distances above the origin have a positive value and below the origin have a negative value.

General Principles of Graphic Representation

Methods to Represent a Frequency Distribution:

Generally four methods are used to represent a frequency distribution graphically. These are Histogram, Smoothed frequency graph and Ogive or Cumulative frequency graph and pie diagram.

1. Histogram:

Histogram is a non-cumulative frequency graph, it is drawn on a natural scale in which the representative frequencies of the different class of values are represented through vertical rectangles drawn closed to each other. Measure of central tendency, mode can be easily determined with the help of this graph.

How to draw a Histogram :

Represent the class intervals of the variables along the X axis and their frequencies along the Y-axis on natural scale.

Start X axis with the lower limit of the lowest class interval. When the lower limit happens to be a distant score from the origin give a break in the X-axis n to indicate that the vertical axis has been moved in for convenience.

Now draw rectangular bars in parallel to Y axis above each of the class intervals with class units as base: The areas of rectangles must be proportional to the frequencies of the cor­responding classes.

Plot the following Data by a Histogram

In this graph we shall take class intervals in the X axis and frequencies in the Y axis. Before plotting the graph we have to convert the class into their exact limits.

Histogram Plotted from the Data

Advantages of histogram :

1. It is easy to draw and simple to understand.

2. It helps us to understand the distribution easily and quickly.

3. It is more precise than the polygene.

Limitations of histogram :

1. It is not possible to plot more than one distribution on same axes as histogram.

2. Comparison of more than one frequency distribution on the same axes is not possible.

3. It is not possible to make it smooth.

Uses of histogram :

1. Represents the data in graphic form.

2. Provides the knowledge of how the scores in the group are distributed. Whether the scores are piled up at the lower or higher end of the distribution or are evenly and regularly distributed throughout the scale.

3. Frequency Polygon. The frequency polygon is a frequen­cy graph which is drawn by joining the coordinating points of the mid-values of the class intervals and their corresponding fre­quencies.

Let us discuss how to draw a frequency polygon:

Draw a horizontal line at the bottom of graph paper named ‘OX’ axis. Mark off the exact limits of the class intervals along this axis. It is better to start with c.i. of lowest value. When the lowest score in the distribution is a large number we cannot show it graphically if we start with the origin. Therefore put a break in the X axis () to indicate that the vertical axis has been moved in for convenience. Two additional points may be added to the two extreme ends.

Draw a vertical line through the extreme end of the horizontal axis known as OY axis. Along this line mark off the units to represent the frequencies of the class intervals. The scale should be chosen in such a way that it will make the largest frequency (height) of the polygon approximately 75 percent of the width of the figure.

Plot the points at a height proportional to the frequencies directly above the point on the horizontal axis representing the mid-point of each class interval.

After plotting all the points on the graph join these points by a series of short straight lines to form the frequency polygon. In order to complete the figure two additional intervals at the high end and low end of the distribution should be included. The frequency of these two intervals will be zero.

Illustration: No. 7.3 :

Draw a frequency polygon from the following data:

Frequency Polygon

In this graph we shall take the class intervals (marks in mathematics) in X axis, and frequencies (Number of students) in the Y axis. Before plotting the graph we have to convert the c.i. into their exact limits and extend one c.i. in each end with a frequency of O.

Class intervals with exact limits:

Class intervals with exact limits

Advantages of frequency polygon :

2. It is possible to plot two distributions at a time on same axes.

3. Comparison of two distributions can be made through frequency polygon.

4. It is possible to make it smooth.

Limitations of frequency polygon :

1. It is less precise.

2. It is not accurate in terms of area the frequency upon each interval.

Uses of frequency polygon :

1. When two or more distributions are to be compared the frequency polygon is used.

2. It represents the data in graphic form.

3. It provides knowledge of how the scores in one or more group are distributed. Whether the scores are piled up at the lower or higher end of the distribution or are evenly and regularly distributed throughout the scale.

2. Smoothed Frequency Polygon :

When the sample is very small and the frequency distribution is irregular the polygon is very jig-jag. In order to wipe out the irregularities and “also get a better notion of how the figure might look if the data were more numerous, the frequency polygon may be smoothed.”

In this process to adjust the frequencies we take a series of ‘moving’ or ‘running’ averages. To get an adjusted or smoothed frequency we add the frequency of a class interval with the two adjacent intervals, just below and above the class interval. Then the sum is divided by 3. When these adjusted frequencies are plotted against the class intervals on a graph we get a smoothed frequency polygon.

Illustration 7.4 :

Draw a smoothed frequency polygon, of the data given in the illustration No. 7.3:

Here we have to first convert the class intervals into their exact limits. Then we have to determine the adjusted or smoothed frequencies.

Determine the Adjusted or Smoothed Frequencies

3. Ogive or Cumulative Frequency Polygon:

Ogive is a cumulative frequency graphs drawn on natural scale to determine the values of certain factors like median, Quartile, Percentile etc. In these graphs the exact limits of the class intervals are shown along the X-axis and the cumulative frequen­cies are shown along the Y-axis. Below are given the steps to draw an ogive.

Get the cumulative frequency by adding the frequencies cumulatively, from the lower end (to get a less than ogive) or from the upper end (to get a more than ogive).

Mark off the class intervals in the X-axis.

Represent the cumulative frequencies along the Y-axis begin­ning with zero at the base.

Put dots at each of the coordinating points of the upper limit and the corresponding frequencies.

Join all the dots with a line drawing smoothly. This will result in curve called ogive.

Illustration No. 7.5 :

Draw an ogive from the data given below:

ogive

To plot this graph first we have to convert, the class intervals into their exact limits. Then we have to calculate the cumulative frequencies of the distribution.

Cumulative Frequencies of the Distribution

Now we have to plot the cumulative frequencies in respect to their corresponding class-intervals.

Ogive plotted from the data given above:

Ogive plotted

Uses of Ogive:

1. Ogive is useful to determine the number of students below and above a particular score.

2. When the median as a measure of central tendency is wanted.

3. When the quartiles, deciles and percentiles are wanted.

4. By plotting the scores of two groups on a same scale we can compare both the groups.

4. The Pie Diagram:

Figure given below shows the distribution of elementary pupils by their academic achievement in a school. Of the total, 60% are high achievers, 25% middle achievers and 15% low achievers. The construction of this pie diagram is quite simple. There are 360 degree in the circle. Hence, 60% of 360′ or 216° are counted off as shown in the diagram; this sector represents the proportion of high achievers students.

Ninety degrees counted off for the middle achiever students (25%) and 54 degrees for low achiever students (15%). The pie-diagram is useful when one wishes to picture proportions of the total in a striking way. Numbers of degrees may be measured off “by eye” or more accurately with a protractor.

Distribution by Academic Achievement of Pupils in Class VI of a School

Uses of Pie diagram :

1. Pie diagram is useful when one wants to picture proportions of the total in a striking way.

2. When a population is stratified and each strata is to be presented as a percentage at that time pie diagram is used.

Related Articles:

  • 5 Methods to Depict Frequency Distribution | Statistics
  • Representing Data Graphically: 3 Methods | Statistics

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Infographics: Graphic Visual Representations of Information

  • April 28, 2020

Infographics: Graphic Visual Representations of Information

The Seven Common Types of Infographics

Infographics are graphic visual representations of information, data, or knowledge intended to present information quickly and clearly. Utilizing graphics enhances our ability as humans to recognize patterns and trends and improves cognition. Infographics are made up of three primary elements, the visual, the content, and knowledge. Useful infographics are well designed, they tell a good story, and they are easy to interpret and understand. They combine written words with visual elements to present a significant amount of information in a clear and organized manner.

After completing your research and collecting your data, you need to determine how to demonstrate and communicate your results to your audience clearly. What better way than through an infographic? So, which infographic design will best represent and communicate your information? Below are seven common types of infographics to consider as you think about your infographic design.

List Infographic

The list infographic supports a claim through a series of steps. It is best used to support a specific claim or argument. Your list can go from top to bottom, left to right, or it can move across your canvas. List infographics are one of the most straightforward types of infographics as they engage readers and help them to remember information.

List infographic

Comparison or Vs. Infographic

The comparison of Vs. Infographic compares two things in a head-to-head study and is typically used to communicate the pros and cons of a product. It is best used to highlight differences between two similar things or highlight similarities between two unlike things. The comparison infographic allows you to display two factors side by side to allow readers to take in all the essential elements and make their comparison in moments. It is also used to prove how one option is superior or inferior to the other option.

Comparison Infographics

Flowchart Infographic

The flowchart infographic provides a specific answer to reader choices and is excellent for showing a process or decision making. It is best used to offer personalized responses to readers, to show how multiple situations can reach the same conclusion, or to display a process flow of your logistic sequence.

Flowchart infographic

Visual Article Infographic

The visual article infographic makes writing more visual. It is best used to cut down on text or make an essay more interesting and enjoyable to consume. It also increases sharing potential as a visual article infographic takes a significant amount of information and presents it visually and enjoyably.

Infographics: Graphic Visual Representations of Information 1

Map Infographic

The map infographic showcases data trends based on location. It is best used to compare places, culture, and people through setting centric data and demographics. A map infographic is used to convey information that is based on location in a visual manner to enhance engagement and comprehension.

Map infographic

Timeline Infographic

The timeline infographic tells a story through a chronological flow. A timeline infographic helps to create a clearer image of a specific timeframe. It is best used to show how something has changed over time or make a long-complicated story easier to understand. These infographics are used to visualize history, highlight essential dates, or display a project timeline.

Timeline infographic

Data Visualization Infographic

A data visualization infographic communicates data through charts and graphs. It showcases data through design by incorporating pic charts, bar graphs, and line graphs with visual graphics to disclose relevant information. It Is best used to make data-driven arguments easier to understand and makes facts or statistics more enjoyable to absorb.

Data Visual Infographic

Infographics are a great tool to communicate information quickly and clearly through graphic visuals, imagery, charts, and minimal texts. They are meant to limit the use of written text by using graphics to engage with your audience and present relevant information visually. Now that you have a basic understanding of the seven commonly used infographics, which type of infographic will you use to represent your information best?

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Data Visualization

Table of contents, what is data visualization, importance of data visualization in cybersecurity, types of data visualization in cybersecurity, benefits of data visualization, challenges of data visualization, best practices for effective data visualization in cybersecurity, how proofpoint uses data visualization.

In the realm of cybersecurity, data visualization is a highly useful tool, transforming complex data into comprehensible visual formats. This practice not only supports the swift detection of threats but also enhances the overall decision-making process among cybersecurity and IT teams who oversee an organization’s infrastructure. By converting raw data into visual narratives, professionals can better understand and respond to potential vulnerabilities and attacks.

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Data visualization is the process of converting elaborate datasets into visual contexts, such as charts, graphs, or maps, to make complex information more accessible and comprehensible for the human brain to interpret. This exercise simplifies the interpretation of data and distills patterns, anomalies, and trends that are less detectable by viewing source data at large.

The primary purpose of data visualization is multifaceted: it simplifies complex data, enhances decision-making processes, and improves communication between technical and non-technical stakeholders. By converting vast amounts of information into visual formats, data visualization enables quicker and more informed decision-making, as stakeholders can easily grasp the implications of data trends and anomalies.

This leads to more effective strategies and responses, particularly crucial in fields like cybersecurity , where data can be intricate and voluminous. The transformation process involves several key steps, including data collection and preprocessing, defining visualization goals, creating visual representations, analysis and interpretation, and sharing results for collaboration.

In cybersecurity, data visualization is critical in threat detection and monitoring, mitigation and response to attacks, and analytics and reporting. It enables security teams to quickly identify patterns and anomalies indicating potential threats, provide real-time insights during an attack, and analyze large volumes of security data to inform future security measures.

Data visualization plays a crucial role in cybersecurity by transforming complex security data into easily digestible visual formats. With this transformation, security professionals can quickly identify patterns, anomalies, and potential threats that might otherwise go unnoticed in raw data.

In threat detection, data visualization helps analysts spot unusual patterns or behaviors that could indicate a data breach . For instance, a heat map of network traffic can instantly highlight areas of unusually high activity, potentially signaling a DDoS attack . Similarly, visualizing user login attempts across different time zones can reveal suspicious access patterns that might suggest credential theft.

During incident response, visualization tools provide real-time insights into the nature and scope of an ongoing attack. A dynamic network graph, for example, can show the spread of malware through a system, allowing responders to quickly isolate affected nodes and prevent further propagation. This visual representation of the attack’s progression enables faster and more effective containment strategies.

In security monitoring, data visualization aids in continuously assessing an organization’s security posture. Dashboard visualizations can present key security metrics at a glance, such as the number of blocked intrusion attempts, system vulnerabilities, or compliance status. These visual summaries allow security teams to maintain situational awareness and prioritize their efforts effectively.

Several scenarios demonstrate the critical importance of data visualization in cybersecurity:

  • Identifying patterns in security logs : By visualizing log data as timelines or charts, analysts can quickly spot trends or anomalies that might indicate a security issue. For example, a sudden spike in failed login attempts across multiple accounts could be visualized as a clear peak on a graph, alerting analysts to a potential brute-force attack .
  • Visualizing network traffic : Network flow visualizations can reveal communication patterns between devices, helping identify unauthorized connections or data exfiltration attempts. A chord diagram, for instance, can effectively illustrate the volume and direction of traffic between different network segments, making it easier to spot unusual data flows.
  • Mapping attack surfaces : Visualizing an organization’s digital assets and their interconnections can help map attack surfaces and identify potential vulnerabilities. A tree map or network diagram can illustrate the relationships between systems, highlighting critical nodes that might require additional protection.
  • Analyzing malware behavior : Visual representations of malware behavior, such as process trees or file system changes, can help analysts understand the impact and spread of malicious software more quickly than by reviewing raw log files.
  • Tracking threat intelligence : Geospatial visualizations can map the origin of cyber threats globally, helping organizations understand the geographic distribution of attacks to adjust their defenses accordingly.

By leveraging data visualization techniques, cybersecurity professionals can better detect, respond to, and mitigate security threats more efficiently. This visual approach not only improves the speed and accuracy of threat analysis but also facilitates better communication of complex security concepts to non-technical stakeholders, ultimately strengthening an organization’s overall security posture.

Several types of data visualization are commonly used in cybersecurity to represent complex data and facilitate quick insights. Here are some of the most prevalent:

  • Network graphs : These visualizations depict connections between different nodes in a network, helping to identify unusual patterns or potential cyber-attack paths. They’re particularly useful for understanding the spread of malware or mapping data exfiltration routes.
  • Heat maps : Heat maps use color-coding to represent data intensity, making them ideal for visualizing large datasets. In cybersecurity, they can highlight areas of high network activity or frequent security incidents.
  • Time series charts : These charts show data points over time to indicate trends and anomalies. They’re often used to visualize network traffic patterns or the frequency of security events.
  • Treemaps : Treemaps display hierarchical data as nested rectangles. Each rectangle’s size corresponds to the data point’s relative importance. They’re useful for visualizing complex system structures or resource allocation.
  • Scatter plots : These plots show the relationship between two variables and can help identify outliers. In cybersecurity, they might be used to correlate different types of security events or analyze user behavior.
  • Pie charts and bar graphs : While simple, these classic visualizations can effectively show proportions and comparisons, such as the distribution of different types of security incidents.
  • Geospatial maps : These visualizations plot data on geographic maps, helping to identify the origin of attacks or visualize the global distribution of threats.
  • Sankey diagrams : These diagrams illustrate the flow of data or resources through a system, making them useful for visualizing data movement or attack progression.

Data visualization offers numerous advantages in the context of cybersecurity:

  • Rapid threat detection : Visual representations allow analysts to quickly identify anomalies and potential threats that might be missed in raw data.
  • Improved pattern recognition : Visualizations make spotting trends and patterns in large datasets easier, enhancing threat intelligence capabilities.
  • Enhanced decision-making : By presenting complex data in an easily digestible format, visualizations support faster and more informed decision-making during incident response .
  • Increased situational awareness : Real-time visualizations provide a comprehensive view of an organization’s security posture, allowing for proactive threat management.
  • Better communication : Visual representation helps bridge the gap between technical and non-technical stakeholders, facilitating clearer communication of security concepts and risks.
  • Time efficiency : Visualizations can save considerable time in data analysis, allowing security teams to focus on addressing threats rather than sifting through raw data.
  • Predictive analysis : By visualizing historical data and trends, security teams can better predict and prepare for future threats.
  • Simplified compliance reporting : Visualizations can streamline the process of demonstrating compliance with various security standards and regulations.
  • Improved incident response : During an attack, visualizations can provide real-time insights into the nature and scope of the threat, enabling more effective response strategies.
  • Enhanced training and education : Visual representations of security concepts and scenarios can be powerful tools for training new security personnel and employees about security risks .

By leveraging these benefits, organizations can significantly enhance their cybersecurity posture, making it easier to detect, respond to, and mitigate threats in an increasingly complex digital landscape.

While data visualization offers numerous benefits in cybersecurity, organizations often face several challenges when implementing and utilizing these tools:

  • Data overload : The sheer volume of cybersecurity data can be overwhelming. Organizations struggle to determine which data points are most relevant and how to visualize them without creating cluttered, confusing displays.
  • Real-time processing : Cybersecurity requires real-time insights, but processing and visualizing large amounts of data in real-time can be technically challenging and resource-intensive.
  • Data integration : Organizations often use multiple security tools, each generating its own data. Integrating these diverse data sources into cohesive visualizations can be complex and time-consuming.
  • Skill gap : Effective data visualization requires a combination of technical skills, design knowledge, and cybersecurity expertise. Many organizations lack personnel with this diverse skill set.
  • Scalability : As networks grow and threats evolve, visualization tools must scale accordingly. Ensuring that visualizations remain effective and performant as data volumes increase is a significant challenge.
  • Context preservation : Simplifying data must be balanced with the risk of oversimplification. Maintaining the necessary context and nuance in visualizations without overwhelming users is key.
  • User adoption : Introducing new visualization tools often elicits resistance from users accustomed to traditional methods. Overcoming this resistance and ensuring widespread adoption can be challenging.
  • Privacy and security concerns : Visualizations may inadvertently reveal sensitive information. Ensuring that visualizations provide insights without compromising data security is a constant concern.

Addressing these challenges requires a methodical approach that employs proper planning, tech utilization, and best practices.

To maximize the benefits of data visualization in cybersecurity, organizations should adhere to the following best practices:

  • Clarity and simplicity : Keep visualizations clear and straightforward. Avoid cluttering displays with unnecessary information. Each visualization should have a specific purpose and convey its message.
  • Accuracy : Visuals should accurately present the underlying data in a way that makes logical sense for interpretation. Misleading visualizations can lead to poor decision-making and potentially compromise security.
  • Consistency : Use consistent color schemes, shapes, and layouts across different visualizations. This helps users quickly understand and interpret various displays.
  • Interactivity : Implement interactive features allowing users to drill down into data, filter information, and customize views based on their needs.
  • Context-awareness : Provide necessary context alongside visualizations. This information might include time frames, data sources, or relevant benchmarks to help users interpret the data correctly.
  • Real-time updates : In cybersecurity, timely information is crucial. Ensure visualizations update in real-time or near-real-time to provide the most current insights.
  • User-centric design : Consider user needs and preferences when designing visualizations. Different roles may require different types of visualizations or levels of detail.
  • Integration : Ensure visualization tools integrate seamlessly with existing security infrastructure and workflows to maximize adoption and effectiveness.
  • Continuous improvement : Regularly gather feedback from users and iterate on your visualizations. As threats evolve and user needs change, your visualization strategies should adapt accordingly.

By following these best practices, organizations can significantly bolster their cybersecurity measures through effective data visualization. Remember, the goal is to transform complex data into actionable insights that enable faster, more informed decision-making in the face of evolving cyber threats.

Proofpoint leverages data visualization across its cybersecurity solutions to enhance threat detection, streamline investigations, and improve overall security posture. Here are some ways Proofpoint incorporates data visualization:

  • eDiscovery and Compliance : Proofpoint Discover offers advanced visualization tools for eDiscovery processes. It provides conversation threading, interaction analysis, and timeline graphing to help users understand communication patterns and key custodians. The Case Management dashboard offers a comprehensive view of eDiscovery workflows, allowing users to track case activities and organize searches, holds, and exports.
  • Threat Detection : Proofpoint uses heat maps and excess exposure charts to indicate areas where organizations are most vulnerable to data loss and compliance risks. These visualizations help quickly identify anomalies and potential threats that might be missed in raw data.
  • Data Loss Prevention (DLP) : Proofpoint’s DLP solutions use visualization to help organizations understand where sensitive data resides and who has access to it. Heat maps and charts provide insights into data exposure and help prioritize remediation efforts.
  • User and Entity Behavior Analytics (UEBA) : Proofpoint employs behavioral AI and visualization techniques to detect anomalies that may indicate risky activities or insider threats via UEBA tools. These visualizations provide early warnings and help prevent data leaks or breaches.
  • Compliance Monitoring : Proofpoint’s compliance solutions use AI-based visualization to detect misconduct across various communication platforms. These tools help unify, manage, and investigate digital communications for corporate and regulatory compliance .

By integrating these visualization capabilities across its product suite, Proofpoint enables organizations to quickly identify risks, streamline investigations, and make data-driven decisions to reinforce their cybersecurity posture. The emphasis on visual representation of complex data sets allows for faster insights and more effective threat mitigation strategies. To learn more, contact Proofpoint .

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Smart contract vulnerabilities detection with bidirectional encoder representations from transformers and control flow graph

  • Regular Paper
  • Published: 10 July 2024
  • Volume 30 , article number  204 , ( 2024 )

Cite this article

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  • Peng Su 1 &
  • Jingyuan Hu 2  

Up to now, the smart contract vulnerabilities detection methods based on sequence modal data and sequence models have been the most commonly used. However, existing state-of-the-art methods disregard the issue of sequence modal data loses structural information and control flow information. Additionally, it is hard for sequence models to extract global features of smart contracts. Moreover, these methods rarely consider the impact of noise data on vulnerabilities detection. To tackle these issues, we propose a smart contract vulnerabilities detection model based on bidirectional encoder representation from transformers (BERT) and control flow graph (CFG). On the one hand, we design a denoising method suitable for control flow graphs to reduce the impact of noisy data on vulnerabilities detection. On the other hand, we design a novel method to parse the control flow graph into a BERT input form that retains control flow information and structural information. The BERT learns the potential vulnerability characteristics of smart contracts to fine-tune itself. Through an empirical evaluation of a large-scale real-world dataset and compare 5 state-of-the-art baseline methods. Our method achieves (1) optimal performance over all baseline methods; (2) 0.6–17.1% higher F1-score than baseline methods; (3) 0.7–16.7% higher accuracy than baseline methods; (4) 0.6–17% higher precision than baseline methods; (5) 0.2–19.5% higher recall than baseline methods.

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HGAT: smart contract vulnerability detection method based on hierarchical graph attention network

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VDDL: A Deep Learning-Based Vulnerability Detection Model for Smart Contracts

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Ethchecker: a context-guided fuzzing for smart contracts

Data availability.

The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.

Source code, Opcode, Bytecode, etc.

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https://drive.google.com/drive/folders/1KuKxknJ-uOWZOaymP9b3eOXa1hFNZxVS?usp=sharing .

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This work is funded by National Key Research and Development Project (Grant no.: 2022YFB2703100).

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Jingyuan Hu

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Su, P., Hu, J. Smart contract vulnerabilities detection with bidirectional encoder representations from transformers and control flow graph. Multimedia Systems 30 , 204 (2024). https://doi.org/10.1007/s00530-024-01406-9

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