Class 9 RD SHARMA Solutions Maths Chapter 24 - Measures of Central Tendency
Ex. 24.1
Ex. 24.2
Ex. 24.3
Ex. 24.4
24.21
24.22
Measures of Central Tendency Exercise 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)
(ii)
Solution 22
Solution 23
Solution 24
Measures of Central Tendency Exercise 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 |  |
Measures of Central Tendency Exercise 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
Measures of Central Tendency Exercise 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
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).
Solution 2
Measures of Central Tendency Exercise 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
