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If the mean deviation about the median o...

If the mean deviation about the median of the numbers a, 2a, ....., 50a is 50, then |a| equals :
(1) 2
(2) 3
(3) 4
(4) 5

A

5

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
From the given data, medain `=(25+26)/(2)a=25.5 a`
Required mean deviation about medain
`=(2|0.5+1.5+2.5+..+24.5|)/(50)|a|=50`
`implies |a|=4`
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