Study Notes on Bar Chart

By Gaurav Mohanty|Updated : December 29th, 2021

Dear Aspirants, 

As you already know, the DILR section of the BBA & IPM Exams will include short sets of facts or propositions, graphs, or other textual, pictorial, or diagrammatic representations of numerical information, followed by a series of questions.

You will be required to derive information from such passages, graphs, or other representations, and apply mathematical operations on such information.

The questions will require you to:

  • Derive, infer, and manipulate numerical information set out in such passages, graphs, or other representations; and
  • Apply various 10th standard mathematical operations on such information, including from areas such as ratios and proportions, basic algebra, mensuration, and statistical estimation.

 Tips to Solve Data Interpretation Questions

Students are afraid of DI. DI has put fear in the minds of students. But let’s not fear anything. Let’s face reality here. Let’s try to understand DI. So, what makes DI questions look complex? The tables themselves cover half the page, so that’s why?

Well, that’s not really the case. If understood carefully, DI can be solved with little opposition. There are of course some other things to perfect first before you embark upon solving DI questions. 

In this article, we’re discussing the first type in a manner as lucid as we can. Don’t worry, the rest of the types we will cover in the upcoming articles. If you want to fully understand the techniques, you will have to pay attention to each and everything that’s been taught here.


Now, first and foremost, What does Data Interpretation exactly mean?

Interpretation is the process of making sense of numerical data that has been collected, analyzed, and presented. 

  • Interpreting data is an important critical thinking skill that helps you comprehend textbooks, graphs, and tables.

What other things?

 Nearly all the DI questions are based upon these three chapters of Arithmetic. These are:

  • Averages
  • Ratios
  • Percentage

Almost all the DI questions are solved using the formulas of only these three types. We assume here that you have a decent practice of these three types of questions. If not, practice these three types of questions until you feel comfortable.

DI Representation

 DI questions follow a certain type of presentation. These presentations are broadly classified into the following classes:

  • Bar Graphs
  • Line Graphs
  • Table Chart
  • Pie Charts
  • Mixed Graphs (a combination of two or more of the above types)
  • Caslet D.I. or passage-based D.I. (In Caselet DI, a long paragraph is given and on the basis of that, some questions are asked).

Bar Graphs

 Reading Bar Graphs

A bar graph looks like the following:


Along the X-axis (horizontal axis), we have some numbers. Along the Y-axis (vertical axis), we have some other numbers. And in between the area, we have some Bars. Try to understand the data that’s been presented here.

Finding it a bit difficult? Of course, it’s difficult because you don’t know what these bars represent. Now, try to understand the same bar chart, but with the headings.

A number of players participating in three different games from six different countries:



This won’t be difficult. From the above bar graph, we conclude that:

  • Three different bars represent three different games: Football, Cricket, and Badminton.
  • On the X-axis, we have a number of countries from 1 to 6.
  • On the Y-axis we have the number of players.
  • The length of the Bars denotes the number of players.


Before you solve any of the questions, first you have to understand what the Bar Graph is trying to say.

  • Make a habit of scanning the headings first.
  • You have to understand what’s on the X-axis, what’s on the Y-axis, what’s the relation between these two in terms of the length of Bars.
  • There will be 3 - 4 questions based on one Bar Graph and that means you can get full marks if and only if you understand the format of data that is presented in the question.
  • That’s what Data Interpretation actually means!!

Let’s proceed to solve five questions based upon this Bar Graph.

Sample Questions

A number of players participating in three different games from six different countries:


Question 1: The number of players participating in Cricket from the country–4 is what percentage of the number of players participating in Badminton from the country–1?

[1] 177.77%
[2] 176.78%
[3] 178.87%
[4] 180.82%


From this question, we conclude that: data in Bar Graph tell us so many things. But it’s pointless to waste time interpreting all the data. It’s not necessary to know how many Football players or Badminton players are from Country-4 or from Country-6. Interpret what’s necessary!

Just point out Cricket players from Country-4 = 80 players. A number of Badminton players from Country-1 = 45 players. The rest is just the application of the percentage formula.
Percentage = 80/45 * 100 = 177.77%

Question 2: What is the total number of players participating in Cricket from country 4, 5 and 6 and the number of players participating in Football from country 1, 2 and 3?

[1] 335
[2] 635
[3] 435
[4] 535

  • Applying Lesson number two, Number of Cricket players from Country 4, 5 and 6 = [80+70+60] = 210.
  • Number of Football players from Country 1, 2 and 3 = [65+70+90] = 225.
  • And 210+225 = 435

Question 3: The number of players participating in Badminton from all the country is what percentage of the total number of players participating in all the games from country–3?

[1] 134%
[2] 164%
[3] 126%
[4] 157%

Badminton players from all countries = [45+40+95+85+95+65] = 425. Total players from all games from Country-3 = [90+85+95] = 270. Required Percentage = [425/270]*100 ≈ 157%

Question 4: In which country is the number of players participating in Football is the highest and the number of players participating in Badminton is the lowest?

[1] Country 3 & 2
[2] Country 4 & 6
[3] Country 3 & 4
[4] Country 5 & 1


These sort of questions are pretty easy to solve. Just interpret the data in your mind. Check the length of the Bars. The answer will surely come.

Football highest = 90 = Country-3 and Badminton lowest = 40 = Country-2

Question 5: 60% of players participating in all games from country-5 are male and 30% of players participating in all games from country-3 are female. What will be their ratio?

[1] 127:170
[2] 13:7
[3] 49:27
[4] 87:55

  • Number of players from all games of Country-5 = [80+70+95] = 245. 60% of 245 = 147
  • Number of players from all games of Country-3 = [90+85+95] = 270. 30% of 270 = 81
  • The number of players from all games of Country-3: we already have calculated this number before in Question 3.


Sometimes the calculation of one question helps in the calculation of some other question.
In this question, the ratio is = 147:81 = 49:27


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