# Bar Graph Worksheets

A bar graph is a pictorial representation of the numerical data by a number of bars of uniform width erected horizontally or vertically with equal spacing between them.
Initially, data used to be represented pictorially through pictographs in which picture symbols were used to represent a certain number of items and then each observation was shown by drawing the proportional number of pictures. But the method of drawing pictographs was time consuming and so it did not turn out to be very useful.
However bar graphs are simple to draw, convenient to read and provide for easy comparison of the given data.
Bar graph c\onsist of rectangles of equal width and varying heights depending upon the numerical data. Also, the distance between each pair of consecutive rectangles is kept the same.

## How to draw a bar graph?

To construct a bar graph, we follow the steps given below:
Step 1: On a squared/graph sheet, draw two mutually perpendicular lines, called the horizontal and vertical axes.
Step 2: Mark along the horizontal axes, at equal gaps, the quantity which is non-numeric, e.g., days, states, months, subjects, etc.
Mark along the vertical axis the numerical data that varies, by choosing a suitable scale, e.g., marks, heights, rainfall, etc
Step 3: Draw bars of equal width along the horizontal axis and heights, if it is a vertical bar. Arrange the bars, keeping the distance in between the two consecutive bars the same.

## Different Types Of Bar Graph

There are three types of bar graph. They are :-

1. Simple Bar Graph.
2. Double Bar Graph.
3. Divided Bar Graph.

## Workout examples on drawing bar graph:

Example 1:

The marks obtained by Stella in her annual examination are shown below:

 Subject Science Social Studies Mathematics Statistics English Marks Obtained 30 50 60 40 20

Solution:

Example 2:

Different modes of travel to school, used by fifty students from a certain locality,are given below. Draw a bar graph to represent the following data.

## Workout examples on reading bar garph:

Example 1:

Here is a bar graph showing the marks obtained by James his half-yearly examination    in five different subjects.

Study the bar graph and answer the following questions:

(i) Name the subject in which he scored the highest marks.
(ii) How many marks did he score in Statistics?
(iii) In how many subjects did he score more than 50% marks?
(iv) Name the subject in which he scored the lowest marks.

Solution:

(i) Mathematics.
(ii)  40%
(iii)  One, Mathematics.
(iv)  English

Example 2:

Here is a bar graph showing rainfall (in cm) in a city during the last six months of the
year 2005.

Study the bar graph and answer the following questions:

(i) In which month was the rainfall the lowest?
(ii) In which month was therainfall the highest?
(iii) What was the total of the rainfall in six months?

Solution:

(i) November
(ii) August and September
(iii)  185 cm.

## Thinks to remember for Bar agraph Worksheet

(i) In Bar Graph Worksheet take the width of all bars(rectangles)of the Bar Graph equal.
(ii)Space between consecutive bars of the Bar Graph Worksheet should be equal.
(iii)The height (or length) of a bar of Bar Graph Worksheet is equal( or proportional) to the frequency of the corresponding variate(observation).
(iv) The width of bars has no significance. In fact, the width of the bars of Bar Graph Worksheet is shown simply to make the
representation more eye-catching.