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:

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

Question: 2

Find out the mode from the following data:

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

Solution:

Since maximum frequency 4 corresponds to the value 125 then 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:

Since maximum frequency 4 corresponds to the value 7. 2 then 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

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

Solution:

(i) 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

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

Question: 5

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

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

Solution:

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