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

(i)

(ii)

## Measures of Central Tendency Exercise Ex. 24.2

### Solution 12

 x f xf 10 17 170 30 f1 30f1 50 32 1600 70 f2 70f2 90 19 1710 N = 120

## Measures of Central Tendency Exercise Ex. 24.4

### 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.

## Measures of Central Tendency Exercise 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).

## Measures of Central Tendency Exercise 24.22

### 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 9

Most Frequent value is called mode.

Hence, correct option is (c).

### Solution 24

The empirical Relation between mean, median and mode is

Mode = 3 Median - 2 mean

Hence, correct option is (a).