RD Sharma Solutions Class 9 Measures Of Central Tendency Exercise 24.4

RD Sharma Solutions Class 9 Chapter 24 Exercise 24.4

RD Sharma Class 9 Solutions Chapter 24 Ex 24.4 Free Download

Q 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 :

Marks 4 5 6 7 8 9 10
No.of Students 2 2 2 4 2 2 1

Since maximum frequency corresponds to the value 7 then mode = 7 marks.

Q 2 . Find out the mode from the following data :

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

SOLUTION :

Values 125 175 225 325 375
Frequency 4 2 3 1 1

Since maximum frequency 4 corresponds to the value 125 then mode = 125

Q 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 :

Values 7.2 7.3 7.4 7.5 7.6 7.7
Frequency 4 2 1 2 1 2

Since maximum frequency 4 corresponds to the value 7.2  then mode = 7.2

Q 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 :

Arranging the numbers in ascending order:

14 , 14 , 14 , 14 , 17 , 18 , 18 , 18 , 22 , 23 , 25 , 28

Here the observation 14 is having the highest frequency i . e , 4 in given data, so mode = 14.

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

SOLUTION :

Values 7 9 12 13 15 18 25
Frequency 5 1 3 1 1 1 1

Since maximum frequency 5 corresponds to the value 7  then mode = 7

Q 5 . The demand of different shirt sizes, as obtained by a survey, is given below :

Size: 38 39 40 41 42 43 44 Total
No. of persons(wearing it) 26 39 20 15 13 7 5 125

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

SOLUTION :

Size: 38 39 40 41 42 43 44 Total
No. of persons(wearing it) 26 39 20 15 13 7 5 125

Since, maximum frequency 39 corresponds to the value 39  then mode = 39


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