# RD SHARMA Solutions for Class 9 Maths Chapter 24 - Measures of Central Tendency

Page / Exercise

## Chapter 24 - Measures of Central Tendency Ex. 24.1

Solution 1 Solution 2 Solution 3 Solution 4 Solution 5 Solution 6 Solution 7 Solution 8 Solution 9 Solution 10 Solution 11  Solution 12 Solution 13 Solution 14 Solution 15 Solution 16 Solution 17 Solution 18 Solution 19 Solution 20 Solution 21
(i) (ii) Solution 22 Solution 23 Solution 24 ## Chapter 24 - Measures of Central Tendency Ex. 24.2

Solution 1 Solution 2 Solution 3 Solution 4 Solution 5 Solution 6 Solution 7 Solution 8 Solution 9 Solution 10 Solution 11 Solution 12
 x f xf 10 17 170 30 f1 30f1 50 32 1600 70 f2 70f2 90 19 1710 N = 120  ## Chapter 24 - Measures of Central Tendency Ex. 24.3

Solution 1 Solution 2 Solution 3 Solution 4 Solution 5 Solution 6 Solution 7 Solution 8 Solution 9 Solution 10 Solution 11 Solution 12 Solution 13 ## Chapter 24 - Measures of Central Tendency Ex. 24.4

Solution 1 Solution 2 Solution 3 Solution 4(i)
Arranging the data in an ascending order
14, 14, 14, 14, 17, 18, 18, 18, 22, 23, 25, 28
Here observation 14 is having the highest frequency i.e. 4 in given data. So, mode of given data is 14.

Solution 4 (ii) Solution 5 ## Chapter 24 - Measures of Central Tendency 24.21

Solution 1

Range is not a measure of central value.

The difference between the highest value and the lowest value in the data set is called Range.

Hence, correct option is (b).

Solution 2 ## Chapter 24 - Measures of Central Tendency 24.22

Solution 3 Solution 4 Solution 5

 Mean Median Mode 2, 2, 2, 2, 4 12/5 = 2.4 2 2 1, 3, 3, 3, 5 15/5 = 3 3 3 1, 1, 2, 5, 6 15/5 = 3 2 1 1, 1, 1, 2, 5 10/5 = 2 1 1

From above table, data 1, 3, 3, 3, 5 has mean, median, mode all have same value, i.e. 3.

Hence, correct option is (b).

Solution 6 Solution 7 Solution 8 Solution 9

Most Frequent value is called mode.

Hence, correct option is (c).

Solution 10 Solution 11 Solution 12 Solution 13 Solution 24

The empirical Relation between mean, median and mode is

Mode = 3 Median - 2 mean

Hence, correct option is (a).

Solution 25 ### STUDY RESOURCES

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