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

A

5

B

2

C

3

D

4

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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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