# Bar Graph

We learn how to represent the data on the bar graph.

Bar graphs are one of the many methods used to present data in a visual form. Bar graphs usually present data grouped in intervals, which depicts the frequencies of values in a particular interval.

Data can be represented by bars (like rectangle) whose lengths represent numerical values. One can use horizontal or vertical bars. Instead of rectangles one way even use line segments in such graphs.

Scale

To represent different numbers, first we need to decide what number a unit length of the bar represents. For example, if the data is of the population of villages, we can choose 1 cm of the bar to represent 500 people. This relation between the unit length of the bar and the quantity it represents is called the scale of the bar graph. The chosen scale is sometimes mentioned in the bar graph. In this case, the scale would be written as 1 cm : 500 people.

One can choose any scale for a graph. Obviously, the scale should be such that all the base of the graph fit on the paper on which it is drawn.

Interval is the space between each value on the scale of a bar graph. They are chosen based on the range of the values in the data set.

Solved Examples on Bar Graph:

1. Observe the bar graph given below and answer the questions that follow.

Answer the following questions.

(i) How many students have read less than 11 books?

(ii) How many students have read 15 - 20 books?

(iii) How many students have read 25 - 30 books?

(iv) How many students have read more than 15 books?

Solution:

The above graph is showing a relationship between number of students are the books read. Here we find that the interval chosen on the x-axis are 1 - 5, 6 - 10, 11 - 15, 15 - 20 and 25 - 30.

(i) The two bars on the x-axis(1 - 5, 6 - 10) show the number of students who have read books less than 11. The numbers on the y-axis show: 10 + 8 = 18.

(ii) The number on the y-axis corresponding to the bar 15 - 20 shows 11 students.

(iii) The number on the y-axis corresponding to the bar 25 - 30 shows 3 students.

(iv) The two bars on the y-axis show the number of students who have read books more than 15 books. The numbers on the y-axis show: 11 + 3 = 14.

Questions and Answers on Bar Graph:

1. Choose the right answer.

(i) If one block in a bar graph represents 5 students, how many blocks will represent 20 students?

(a) 2               (b) 3               (c) 4               (d) 5

(ii) The representation of data in the form of pictures is a:

(a) Data Handling       (b) Tally Mark      (c) Bar Graph      (d) Pictograph

(iii) All bars in a bar graph have equal:

(a) Size               (b) Width              (c) Length               (d) Axis

1. (i) (c) 4

(ii) (d) Pictograph

(iii) (b) Width

2. Choose the right answer and fill in the blank.

(i) __________ can be represented by both words and numbers.

(a) Data        (b) Tally Mark      (c) Data Handling       (d) Pictograph

2. (a) Data

3. Look at the bar graph given below and answer the questions.

(i) Which sport is liked by maximum students?

(a) Cricket

(c) Chess

(d) Football

(ii) Which sport is liked by minimum students?

(a) Cricket

(c) Chess

(d) Football

(iii) Which sport is liked by equal number of students?

(a) Cricket and Chess

(b) Cricket and Football

(c) Badminton and Football

(d) None of these

Answer: (b) Cricket and Football

(iv) How many students like Chess?

(a) 3

(b) 4

(c) 6

(d) 10

(v) How many students like Cricket?

(a) 10

(b) 15

(c) 20

(d) 25

(vi) Which sport is liked by 10 students?

(a) Cricket

(c) Chess

(d) Football

4. Number of girl students in 5 different classes of a school is given below. Read the data and represent it through a Bar Graph.

Classes

I

II

III

IV

V

Number of Girls

75

125

100

200

225

5. A survey of 36 students of a class was done to find out the mode of transport used by them while commuting to their school. the collected data is shown in the table given below. Represent the data in the form of a bar graph.

Mode of Transport

Cycle

School Bus

Walking

Car

No. of Students

6

16

10

4

Now answer the given questions:

(i) Give a suitable title for the graph.

(ii) How many students come by car?

(iii) Which mode of transport is used by most of the students?

(iv) How many students do not travel by car?

(ii) 4

(iii) School Bus

(iv) 32

6. Given below is the data showing the number of hours spent by the students in watching television. Draw a Bar Graph for the given information.

Hours

0 - 2

3 - 5

6 - 8

9 - 11

Number of Students

12

16

8

4

5. The students in a school are sending Thank You cards to the soldiers at the border. Observe the graph given below.

Now answer the given questions:

(i) How many students have made less than 51 cards?

(ii) How many students have made 76 - 100 cards?

(iii) Which interval has the maximum number of students?

(iv) How many students have made more than 75 cards?

(v) How many people would you like to Thank?

(i) 35

(ii) 15

(iii) 26 - 50

(iv) 20

6. Given below is the date showing the age of students participating in 'Poster making Competition' in school. Draw a bar graph for the given information.

(i) maximum number of pets are dog.

(ii) Only one parrot.

(iii) Six times parrot are cats.

(iv) Two less than cats are rabbits.

(v) Double the rabbits are goats.

(vi) One less than rabbits are tortoise.

7. Given below is the date showing the age of students participating in 'Poster making Competition' in school. Draw a bar graph for the given information.

Age (in Years)

5 - 8

9 - 11

12 - 15

15 - 18

Number of Students

90

75

150

170

## You might like these

• ### Concept of Pattern | Similar Patterns in Mathematics | Similar Pattern

Concept of pattern will help us to learn the basic number patterns and table patterns. Animals such as all cows, all lions, all dogs and all other animals have dissimilar features. All mangoes have similar features and shapes. Leaves of the same tree have similar pattern of

• ### Data Handling | Collection of Objects | Information Collected | Data

We have learnt, that a collection of objects can be stored out based on their color, shape, size or any other common thing among them. We can organise all the information in a table to understand how many of each item is there in a collection. Information collected is called

• ### Examples of Pictographs |Pictorial Representation|Pictograph Questions

Some sample examples of pictographs or pictorial representation are shown, how the objects are used to give information regarding mathematical data. Read the pictograph and gather the information

• ### Tally Marks | Tally Mark Represents Frequency | Use of Tally Marks

We will discuss here how to use Tally marks. To count the number of times a value of the variable appears in a collection of data, we use tally mark ( / ). Thus tally mark represents frequency. Observe the tally marks and the corresponding frequencies:

• ### Pictographs | Pictorial Representation | Pictorial Symbols | Symbols

In pictographs we learnt to recognize different things in our surroundings and to express the given information through pictorial symbols of different objects.

• ### Worksheet on Data Handling | Questions on Handling Data |Grouping Data

In math practice worksheet on data handling we will solve numerous types of questions on handling data, frequency distribution and on grouping data. Questions on frequency distribution

• ### Worksheet on Pictographs | Picture Graph Worksheets | Pictograph Works

In worksheet on pictographs, all grade students can practice the questions on data handling. We can present the given information in many ways. In pictograph the information is presented by using a picture as symbol. A pictograph has a title and a key.

• ### Worksheet on Bar Graph | Bar Graph Home Work | Questions on Bar Graph

In worksheet on bar graph we will practice different questions on representing the bar graph from the following data given in the questions. 1. The number of bed-sheets manufactured by a factory during five consecutive weeks is given below.

• ### Construction of Bar Graphs | Examples on Construction of Column Graph

Now we will discuss about the construction of bar graphs or column graph. In brief let us recall about, what is bar graph? Bar graph is the simplest way to represent a data. In consists of rectangular bars of equal width. The space between the two consecutive bars must be

• ### Worksheet on Bar Graphs | Bar Graphs or Column Graphs | Graphing Bar

In math worksheet on bar graphs students can practice the questions on how to make and read bar graphs or column graphs. Test your knowledge by practicing this graphing worksheet where we will

• ### Represent Data on a Bar Graph | Constructing Bar Graphs | Horizontal

We will learn how to represent data on a bar graph. We have seen how pictograph represents a pattern of information through numerical data in general. But such representation takes

• ### 5th Grade Data Handling Worksheet | Double Bar graph | Line Graph

In 5th grade data handling worksheet, students can practice the questions on bar graph, line graph and pie chart. We represent the data in many ways. A graph is a pictorial representation of information. In pictograph the information is presented by using a picture as symbol

• ### Construction of Pie Chart | Steps of Construction | Solved Examples

The pie chart is a pictorial representation of data relative to a whole. Each portion in the circle represent an element of the collected data. The pie chart represents the composition of various elements in a whole. The total value of the pie chart is always 100%.

• ### Line Graph | How to Construct a Line Graph? | Solve Examples

Bar graphs are used to compare changes between different groups. Line graphs are used to compare two variables. The data which changes over a period of time can be displayed through a line graph. In line graph: ● Points are plotted on the graph related to two variables

• ### Double Bar Graph | Bar Graph |Solved Examples | Construction

Double bar Graph helps us to compare two data groups. For example the graph given below compares the number of boys and girls in classes I – V. Solve examples on Double bar Graph Observe the graph and answer the questions given below. Answer the given questions