# Bar Graphs: Introduction

#### Overview:

 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.

#### What is a Bar Graph:

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.

#### Types of Bar Graph:

We can divide the bar graph into two categories.

#### (1). Simple Bar Graph:

When only one set of data in the form of bars represented, then we can call it a simple bar graph.

#### (2). Multiple 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.

#### Bar Graph Examples:

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. $$= \frac{125 + 150}{2}$$ $$= 137.5 \ Thousand$$