# 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.

Page / Exercise

## 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.

## Key Features of Study Materials for ICSE Class 9 Maths:

• Include video lessons, question bank and solved sample papers
• Designed according to the latest ICSE syllabus
• Developed by subject experts
• Content revised from time to time
• Helpful when doing quick revision
• Guidance when doing homework
• Understand concepts easily
• Significantly improve your Mathematics score