RD Sharma Solutions for Class 9 Maths Chapter 23 Graphical Representation of Statistical Data Exercise 23.3

RD Sharma Solutions for Class 9th Graphical Representation of Statistical Data will help you to understand the steps involved in representing a large amount of statistical data in graphs from the very beginning. In this exercise, students will learn about construction of histogram of a continuous grouped frequency distribution with unequal class intervals and many more.

Download PDF of RD Sharma Solutions for Class 9 Maths Chapter 23 Graphical Representation of Statistical Data Exercise 23.3

 

rd sharma solution class 9 maths chapter 23
rd sharma solution class 9 maths chapter 23
rd sharma solution class 9 maths chapter 23
rd sharma solution class 9 maths chapter 23

 

Access Answers to Maths RD Sharma Class 9 Chapter 23 Graphical Representation of Statistical Data Exercise 23.3 Page number 23.41

Question 1: Construct a histogram for the following data:

RD sharma class 9 maths chapter 23 ex 23.3 question 1

Solution:

Let us consider that the horizontal and vertical axes represent the monthly school fees and the number of schools respectively. Construct rectangles with class-intervals as bases and respective frequencies as heights as below.

Histogram:

RD sharma class 9 maths chapter 23 ex 23.3 question 1 Solution

Question 2: The distribution of heights (in cm) of 96 children is given below. Construct a histogram and a frequency polygon on the same axes.

RD sharma class 9 maths chapter 23 ex 23.3 question 2

Solution:

Let us consider that the horizontal and vertical axes represent the height (in cm) and the number of children respectively. Construct rectangles with class-intervals as bases and respective frequencies as heights as below.

RD sharma class 9 maths chapter 23 ex 23.3 question 2 Solution

Question 3: The time taken, in seconds, to solve a problem by each of 25 pupils is as follows:

16, 20, 26, 27, 28, 30, 33, 37, 38, 40, 42, 43, 46, 46, 46, 48, 49, 50, 53, 58, 59, 60, 64, 52, 20

(a) Construct a frequency distribution for these data, using a class interval of 10 seconds.

(b) Draw a histogram to represent the frequency distribution.

Solution:

Arrange raw data into ascending order:

16, 20, 20, 26, 27, 28, 30, 33, 37, 38, 40, 42, 43, 46, 46, 46, 48, 49, 50, 52, 53, 58, 59, 60, 64

(a) Frequency distribution for the given data, using a class interval of 10 seconds.

Class Interval

Frequency

10-20

16

1

20-30

20, 20, 26, 27, 28

5

30-40

30, 33, 37, 38

4

40-50

40, 42, 43, 46, 46, 46, 48, 49

8

50-60

50, 52, 53, 58, 59

5

60-70

60, 64

2

(b)

Consider horizontal and vertical axes represent the seconds and frequency respectively. Frequencies are the heights of rectangles.

RD sharma class 9 maths chapter 23 ex 23.3 question 3 Solution

Question 4: Draw, in the same diagram, a histogram and a frequency polygon to represent the following data which shows the monthly cost of living index of a city in a period of 2 years:

RD sharma class 9 maths chapter 23 ex 23.3 question 4

Solution:

Consider horizontal as cost of living (in Rs.) and vertical axis represent the number of months.

Histogram and a frequency polygon:

RD sharma class 9 maths chapter 23 ex 23.3 question 4 Solution


Access other exercise solutions of Class 9 Maths Chapter 23 Graphical Representation of Statistical Data

Exercise 23.1 Solutions

Exercise 23.2 Solutions

RD Sharma Solutions for Class 9 Maths Chapter 23 Exercise 23.3

Class 9 Maths Chapter 23 Graphical Representation of Statistical Data Exercise 23.3 is based on the following topics:

  • Histogram
  • Construction of a histogram of a continuous grouped frequency distribution with unequal class intervals.
  • Construction of a histogram when mid-points of class intervals are given.
  • Construction of a histogram when class intervals are given in inclusive form
  • Frequency polygon and its algorithm