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• RD Sharma Class 9 Solutions

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

### 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:

The mode is the most common number that occurs frequently in the given data.

Here, we can see that 7 occurred most frequently.
Hence, Mode = 7

### Question 2. Find out the mode from the following data :125, 175, 225, 125, 225, 175, 325, 125, 375, 225, 125

Solution:

The frequency of given set of observations:

Here the maximum frequency is 4 which is 125.
Hence, 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:

Frequency of the given set of observations:

Here the maximum frequency is 4 which is 7.2.
Hence, mode = 7.2

### Question 4. Find the mode of the following data in each case:(i) 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18

Solution:

First arrange the data in the ascending order:
14, 14, 14, 14, 17, 18, 18, 18, 22, 23, 25, 28
Here we can clearly see that 14 occurs 4 times, hence it has the highest frequency.
So, mode = 14

### (ii) 7, 9, 12, 13, 7, 12, 15, 7, 12, 7, 25, 18, 7

Solution:

Frequency of the given set of observations:

Here the maximum frequency is 5 which is 7.
Hence, mode = 7.

### Find the modal shirt sizes, as observed from the survey.

Solution:

Frequency of the given set of observations:

Here the maximum frequency is 39 which is 39.
Hence, mode = 39.

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