Table of contents  
What are Bar Charts?  
The Use of Bar Charts to Show Deviations  
Representation of Percentage on a Stacked Bar Chart  
Solved Examples 
Bar charts are one of the easiest, graphically attractive and hence most commonly used methods of presenting all types of data. They are especially useful for representing various data series.
Bar Chart
Now let's have a look at the different kinds of bar charts and the kinds of data that can be represented on a bar chart.
The simple bar chart has one continuous variable charted along with one discrete variable.
Simple Bar Chart
They are used to display information about the subgroups that make up different categories.
Stacked Bar Graph
One of the primary limitations of the simple bar chart is that it can only be used to display a single continuous variable.
What is the ratio of the total sales of branch B2 for both years to the total sales of branch B4 for both years?
Deviation bars are useful for graphic presentation of continuous variables which can have both positive and negative values, i.e., surplus or deficit, net profit or loss, net of imports and exports.
Sometimes stacked bars can also be used to represent the breakup of some continuous variable. The figure below will make it clear.
What was the percentage of students who cleared CAT in 2000?
Q1: Production of paper (in lakh tonnes) by three companies X, Y and Z over the years. Study the graph and answer the questions that follow.
(i) What is the difference between the production of company Z in 1998 and company Y in 1996?
Ans: Required difference
= [(45  25) * 1,00,000] tones
= 20,00,000 tons.
(ii) What is the ratio of the average production of company X in the period 19982000 to the average production of company Y in the same period?
Ans: Average production of company X in the period 19982000 = [1/3 * (25 + 50 + 40)] = (115/3) lakh tons. Average production of company Y in the period 19982000 = [1/3 * (35 + 40 + 50)] = (125/3) lakh tons. Required ratio = (115/3)/(125/3) = 115/125 = 23/25
(iii) What is the percentage increase in the production of company Y from 1996 to 1999?
Ans: Percentage increase in the production of company Y from 1996 to 1999 = [(40  25)/25 * 100]% = (15/25 * 100)% = 60%
(iv) The average production for five years was maximum for which company?
Ans: For company
(v) In which year was the percentage of production of company Z to the production of company Y the maximum?
Ans: The percentage of production of company Z to the production of company Z for various years are:
For 1996 = (35/25 * 100)% = 140%
Clearly, this percentage is highest for 1996.
Q2: The following chart gives the revenue share of different companies in the tech sector in Cuckooland. :
In 2001, the company that grew the quickest grew by 100%, what was the growth rate of the company that had the least growth rate?
(a) 50%
(b) 25%
(c) 20%
(d) 33%
Ans: Note that we can answer this question even if we do not know the overall numbers in 2000 and 2001. Let the total revenues of the entire industry be X in 2000 and Y in 2001.
FINY has grown from 22.9% of X to 21.1% of Y, which is nothing but expressed as a percentage.
Likewise, growth of PRIWO would be And so on for the rest.
So the company that grew the quickest would be the one that had the maximum ration of 2001 revenue share to 2000 revenue share. Only the shares matter, X's and Y's do not matter.
So, to find the company that grew quickest, all we need to do is find the highest of
Now, we know that CENTURE saw the highest growth and that this growth number was 100%. Or, CENTURE saw its revenues double.
Or 14% of Y = 11.4% of X * 2 Or
To find out the company that saw the least growth rate, we need to find the least among the listed fractions. Or the least among
Or, the company that saw the least growth rate is SCT.
SCT's growth rate is
Or, SCT grew by 33%.
The question is "growth rate of the company that had the least growth rate?"
Hence, the answer is "33%".
Choice D is the correct answer.
Q3: The following chart gives the revenue share of different companies in the tech sector in Cuckooland. :
In 2002, the growth rate of the overall sector was 39%, what was the growth rate seen by SCT?
(a) 50%
(b) 75%
(c) 30%
(d) 40%
Solution: Let 2002 revenues be Z, and let 2001 revenues be Y. We know Z/Y =1.39.
Growth rate of SCT is expressed as a percentage.
There was a 50% growth rate.
The question is "what was the growth rate seen by SCT?"
Hence, the answer is "50%".
Choice A is the correct answer.
198 videos165 docs152 tests

1. What are bar charts and how are they used to represent data? 
2. How can bar charts be used to show deviations in data? 
3. How is the percentage of a category represented on a stacked bar chart? 
4. Provide an example of how bar graphs are used in SSC CGL exams? 
5. What are some frequently asked questions related to bar graphs in SSC CGL exams? 

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