Question

What is the mean deviation about median for the following data?
X: 3 5 7 9 11 13 15
F: 2 8 9 16 14 7 4
(a) 2.50
(b) 2.46
(c) 2.43
(d) 2.37​

Answer 1

Given  :

X: 3 5 7 9 11 13 15

F: 2 8 9 16 14 7 4

To Find : mean deviation about the median

(a) 2.50

(b) 2.46

(c) 2.43

(d) 2.37​

Solution:

X:    3  5  7    9 11  13 15

F:    2  8   9  16 14   7   4

CF  2 10 19  35 49 56 60

60/2 = 30

Median = 9

Deviation from median

=2| 3 - 9| + 8 | 5 - 9 | + 9| 7 - 9| + 16| 9 - 9 | + 14| 11 - 9|  + 7| 13- 9 | + 4| 15 - 9 |

=  12 + 32 + 18 + 0 + 28 + 28 + 24

= 142

Mean Deviation about Medan = 142/60

= 2.366

= 2.37

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