Chapter 23 : Graphical Representation of Statistical Data - Frank Solutions for Class 9 Maths ICSE

Mathematics in ICSE Class 9 is one of the most challenging and trickiest subjects of all. It includes complex topics such as logarithms, expansions, indices and Pythagoras Theorem which are difficult to understand for an average student. TopperLearning provides study materials for ICSE Class 9 Mathematics to make the subject easy and help students to clear all their concepts. Our study materials comprise numerous video lessons, question banks, revision notes and sample papers which help achieve success in the examination.

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Chapter 23 - Graphical Representation of Statistical Data Excercise Ex. 23.1

Question 1

Harmeet earns Rs.50 000 per month. He a budget for his salary as per the following table:

Expenses

Accommodation

Food

Clothing

Travel

Miscellaneous

savings

Amount (Rs.)

12000

9000

2500

7500

4000

15000

 

Draw a bar graph for the above data.

Solution 1

The bar graph is as follows:

 

Question 2

The birth rate thousand of the following states over a certain period is given below:

States

Punjab

Haryana

U.P.

Gujarat

Rajasthan

Jammu and kashmir

Birth Rate (per thousand )

22.9

21.8

19.5

21.1

23.9

18.3

 

Draw a bar graph for the above data.

Solution 2

The bar graph is as follows:

 

Question 3

Fadil, a class IX student, scored market in different subjects (each out of total 100) during his annual examination as given below:

Subject

Maths

English

Science

Social studies

Hind

Physical education

Mark (out of 100)

75

80

77

78

67

89

 

Draw horizontal bar graph for the above data.

Solution 3

The horizontal bar graph is as follows:

 

Question 4

The number of students in different sections of class IX of a certain school is given in the following table.

Section

IX-A

IX-B

IX-C

IX-D

IX-E

Number of students

48

40

50

45

38

 

Draw horizontal bar graph for the above data.

Solution 4

The horizontal bar graph is as follows:

 

Question 5

The number of students (boys and girls) of class IX participating in different activities during their annual day function is given below:

Activities

Dance

Speech

Singing

Quiz

Drama

Anchoring

Boys

12

5

4

4

10

2

Girls

10

8

6

3

9

1

 

Draw a double bar graph for the above data.

Solution 5

The double bar graph is as follows:

 

Question 6

Solution 6

Question 7

Solution 7

Question 8

Solution 8

Question 9

Draw a histogram for the following cumulative frequency table:

Marks

Less than 10

Less than 20

Less than 30

Less than 40

Less than 50

Less than 60

Number of student

7

18

30

45

55

60

 

Solution 9

 

Marks

0 - 10

10 - 20

20 - 30

30 - 40

40 - 50

50 - 60

Number of students

7

11

12

15

10

5

 

The histogram is as follows:

Question 10

Solution 10

Question 11

Solution 11

Question 12

Solution 12

Question 13
Solution 13
Question 14

Solution 14

14

Question 15

Solution 15

 
 
Question 16

Read the following bar graph and answer the following questions:

 

a. What information is given by the graph?

b. Which state is the largest producer of wheat?

c. Which state is the largest producer of sugar?

d. Which state has total production of wheat and sugar as its maximum?

e. Which state has the total production of wheat and sugar minimum?

Solution 16
  1. The information about Production of wheat and sugar (in million tons) in five different states (U.P., Bihar, W.B., M.P., Punjab) is given in the graph.

 

  1. Punjab is the largest producer of wheat.

 

  1. U.P. is the largest producer of sugar.

 

  1. U.P. has total production of wheat and sugar as its maximum.

 

  1. W.B. has the total production of wheat and sugar minimum.

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