RD Sharma Solutions Class 9 Maths Chapter 24 Measures of Central Tendency Exercise 24.4

RD Sharma Solutions for Class 9 Maths Chapter 24 Central Tendency Exercise 24.4 are given here, which consists of questions and answers related to the Measure of Central Tendency. In this exercise, students will learn about the uses and properties of mode and median.

In a moderately symmetric distribution, mean, median and mode are connected by the formula: Mode = 3 Median – 2 Mean.

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Access Answers to RD Sharma Solutions for Class 9 Maths Chapter 24 Measure of Central Tendency Exercise 24.4 Page Number 24.20

Question 1: Find out the mode of the following marks obtained by 15 students in a class:

Marks: 4, 6, 5, 7, 9, 8, 10, 4, 7, 6, 5, 9, 8, 7, 7.

Solution:

Mode is the value which occurs most frequently in a set of observations.

The frequency of the given set of observations is as given below:

RD sharma class 9 maths chapter 24 ex 24.4 question 1

Here, we can see that 7 occurred most frequently.

So, Mode = 7

Question 2: Find out the mode from the following data :

125, 175, 225, 125, 225, 175, 325, 125, 375, 225, 125

Solution:

Find the frequency of the given set of observations:

RD sharma class 9 maths chapter 24 ex 24.4 question 2 solution

125 occurred 4 times more than any other values.

So, Mode = 125

Question 3: Find the mode for the following series:

7.5, 7.3, 7.2, 7.2, 7.4, 7.7, 7.7, 7.5, 7.3, 7.2, 7.6, 7.2

Solution:

Find the frequency:

RD sharma class 9 maths chapter 24 ex 24.4 question 3 solution

Maximum frequency 4 corresponds to the value 7.2.

So, mode = 7.2


RD Sharma Solutions for Class 9 Maths Chapter 24 Measures of Central Tendency Exercise 24.4

RD Sharma Solutions Class 9 Maths Chapter 24 Measures of Central Tendency Exercise 24.4 are based on the following topics:

  • Uses of Median
  • Properties of Median
  • Mode
  • Uses of Mode
  • Properties of Mode

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