Question

Find the mean deviation about the median for the following data 3, 9, 5, 3, 12, 10, 18, 4, 7, 19, 21

• A. 5.27
• B. 4.72
• C. 6.15
• D. 5.89

Answer 1

Answer:

A. 5.27

mean deviation about the median

= ∑|X_i - M|/n

M = median

Number:

3, 3, 4 , 5, 7, 9, 10,12, 18 , 19, 21

Median = ( N +1 )/2 = 12/2 = 6^{th term}

= 9

Xi	|Xi - M|
3	6
3	6
4	5
5	4
7	2
9	0
10	1
12	3
18	9
19	10
21	12
∑|Xi - M|	58

MD = 58/11

= 5.27