Topic Included: | Formulas, Definitions & Exmaples. |
Main Topic: | Data Interpretation. |
Data Interpretation Sub-topic: | Bar Graph Notes & Questions. |
Questions for practice: | 50 Questions & Answers with Solutions. |
A bar graph is a chart or a graphical representation that shows some data in the form of rectangular bars. A bar graph could be used for representing financial data, geographical data, or any other data to analyze and calculate the required value. A bar graph could be vertical or horizontal.
We can divide the bar graph into two categories.
When only one set of data in the form of bars represented, then we can call it a simple bar graph.
When multiple sets of data in the form of bars represented on a single bar graph, then we can call it a multiple bar graph.
Example(1): The balance sheet of a company is given below in the form of a simple bar graph.
(a): Average profit from 2012 to 2015. $$ = \frac{100 + 150 + 200 + 150}{4} $$ $$ = \frac{600}{4} = 150 \ Thousand $$
(b:) Annual average growth rate. $$ = \frac{150 - 100}{100} \times \frac{100}{3} $$ $$ = 16.66 \ \% \ Per Year $$
(c): Annual growth rate from 2012 to 2015.
Growth rate during 2012 to 2013. $$ = \frac{150 - 100}{100} \times 100 $$ $$ = 50 \ \% $$
Growth rate during 2013 to 2014. $$ = \frac{200 - 150}{150} \times 100 $$ $$ = 33.3 \ \% $$
Growth rate during 2014 to 2015. $$ = \frac{150 - 200}{200} \times 100 $$ $$ = -25 \ \% $$
Example(2): The balance sheet of company A and Company B is given below in the form of a multiple bar graph.
Growth rates of companies A and B in percentage during the years 2014 to 2015.
Growth rate of company A. $$ = \frac{100 - 75}{75} \times 100 $$ $$ = 33.3 \ \% $$
Growth rate of company B. $$ = \frac{150 - 125}{125} \times 100 $$ $$ = 20 \ \% $$
Average profit of companies A and B during the years 2014 to 2015.
Average profit of company A. $$ = \frac{75 + 100}{2} $$ $$ = 87.5 \ Thousand $$
Average profit of company B. $$ = \frac{125 + 150}{2} $$ $$ = 137.5 \ Thousand $$