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Pictorial Representation of Data - Double Bar Graph

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How to Make a Double Bar Graph

Since humanity flourished and the population increased, so did the amount of trade and transactions in the world. The merchants found it even harder to keep a track of the money that was flowing in and out of their coffers. When the population was lesser, trade was much simple but keeping a track of who owes whom how much amount of money, so on and so forth was extremely tedious. To end this, the merchants created a bar graph with the help of which they are able to depict a huge variety of the information pictorially that not only helped with the understanding but also made it much easier for the merchant. In this article, you will learn in detail the pictorial representation of data using a double bar graph, how to make a double bar graph, look at some double bar graph questions, and learn about the use of a double bar graph. 

What is a Double Bar Graph

Double bar graphs are also referred to as the double bar charts that help you in comparing or presenting more than one type of information, events, or situations, instead of just one by using bars.


Given below is a double bar chart. Take a close look at it and study it carefully so that you become familiar with its features.


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Once you have examined the double bar chart above, there are a few good observations that you can make from the graph:

  1. The scale is situated on the left side of the graph and is of 10 units.

  2. The title of the graph is "Scores on a Fractions Test with or without Preparation".

  3. Preparation helped the students to score higher points.

  4. The lowest score without the preparation is 45 and the highest score is that of 85.

  5. The lowest score with the preparation is 55 and the highest score is that of 100.

  6. The students that made the most improvement include Darline, Carla, ohn. Their score was improved by 15.

  7. The student that made the least improvement is named Peter. Although Jetser's score is still low, he has improved by 10 points while Peter’s score was improved just by 5 points

How to Make Double Bar Graph on Graph Paper

The following are the steps to make a double bar graph on a graph paper.

  1. Decide what title you would give to the graph

  2. Decide if you want the horizontal or the vertical bars

  3. Then choose a scale

  4. Put the appropriate labels on both the axes

  5. Lastly, draw the bars


Consider the following example:

Use The Table Given Below to Construct a Double Bar Chart

Scores on The Practice Test and The Test

Students 

Practice Test

Test

Jeff

60

70

Peter

75

90

John

55

55

Mary

80

95



  1. You can clearly see the title from the given table.

  2. You need to choose vertical bars

  3. Since the scores differ from each another mostly by the range of 5, 10, 15, or 20, it makes sense to choose the scale of 10

  4. You need to put names on the x-axis and the scores on the y-axis. If you had decided to make horizontal bars, you would have to put the names on the y axis and the scores on the x axis

  5. Finally, you need to draw bars. The double bar graph is shown as follows:


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Double Bar Graph Examples

Let us now take a look at some of the double bar graph examples.

Example 1


What Is The Favorite Sport of The Girls?


Solution:


  1. First, you need to look for the highest bar in the graph that is pink. This bar color represents the favourite sports of girls.

  2. Next, take a look at the x-axis to see which data is represented by that specific bar.

  3. Then, you need to double-check that the y-axis amount is the highest amount of any given favorite sport among the girls. In this case, soccer is the favorite sport since 10 girls are choosing it, that is also the highest amount on the given graph for the favorite sports of the girls

Hence, your answer is soccer.


Example 2


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Which Sport is Liked Equally by Both the Boys and The Girls?


Solution


First, you need to understand the question by realizing that you are looking for two bars which are representing an equal amount of data.


Next, you need to find the two bars on the given graph which line up equally with each other. Both the blue and the pink will be at the same height on the given graph.


Then, you must look at the x-axis for determining which sport is represented by the equal amount of data among the boys and the girls.


Hence, your answer is baseball.

FAQs on Pictorial Representation of Data - Double Bar Graph

1. What is meant by a double bar graph in the context of pictorial data representation?

A double bar graph is a visual tool used in Maths to compare two related sets of data displayed side by side as pairs of bars. Each group or category has two bars, allowing for easy comparison, such as test scores before and after preparation, making differences and patterns clear at a glance.

2. How do you construct a double bar graph step-by-step as per CBSE recommendations?

To construct a double bar graph:

  • Choose an appropriate title reflecting the data sets.
  • Decide if bars will be vertical or horizontal.
  • Select a suitable scale for the values on the y-axis.
  • Label both axes clearly (e.g., categories on x-axis, values on y-axis).
  • Draw paired bars for each category, using different colors or patterns for each data set.
  • Ensure the bars are evenly spaced and have a clear legend.

3. When should a double bar graph be used instead of a single bar graph?

A double bar graph should be used when you need to compare two related sets of data across the same categories. For example, comparing students' scores in two different tests, or the preferences of boys and girls for various sports. If only one set of data is present, a single bar graph is sufficient.

4. What are the main features to observe when interpreting a double bar graph?

When reading a double bar graph, focus on:

  • Height or length of each pair of bars for every category
  • The scale and units used
  • The color or pattern legend identifying each data set
  • Titles and labels showing what each axis and bar represents
  • Gaps or similarities between paired bars to spot differences or equal values

5. Why is the choice of scale important in drawing a double bar graph?

Choosing an appropriate scale is crucial in a double bar graph because it ensures that differences between the two data sets are represented accurately and clearly. A poorly chosen scale can exaggerate or hide comparisons, making the graph misleading.

6. What are some real-life applications of double bar graphs in studies and daily life?

Double bar graphs are commonly used to:

  • Compare academic performance before and after a specific intervention (e.g., test scores with and without extra classes)
  • Display survey results for different groups (e.g., favorite sports among boys vs girls)
  • Track monthly sales of two products

This helps in data-driven decision-making both in academics and business.

7. What are common mistakes to avoid while drawing or interpreting double bar graphs in exams?

Common mistakes include:

  • Not labeling axes or bars clearly
  • Using inconsistent bar widths or scales
  • Missing the legend explaining which bar represents which data set
  • Failing to align bar pairs accurately, leading to misinterpretation

8. How do double bar graphs help in quick data comparison for CBSE exams?

Double bar graphs present two related data sets side by side, allowing students to quickly identify trends, differences, and similarities between them. This visual format is often preferred in CBSE exams for questions requiring clear data comparison.

9. How can you identify if a category is favored equally by both data sets in a double bar graph?

If both bars in a category reach the same height or value on the scale, it indicates that both data sets have equal values for that category. For example, if boys and girls both choose 'baseball' as a favorite sport in equal numbers, their bars will be exactly aligned.

10. Why is color coding or different patterns critical in a double bar graph?

Using different colors or patterns for each data set in a double bar graph makes it easy for viewers to distinguish between them at a glance, reducing confusion and improving clarity, especially when presenting data to large groups or in examination settings.