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If mean deviations about median of x, 2x...

If mean deviations about median of `x, 2x, 3x, 4x, 5x, 6x, 7x, 8x, 9x, 10x` is 30, then `|x|` equals:-

A

12

B

11

C

10

D

9

Text Solution

Verified by Experts

The correct Answer is:
A
Median is (5.5x)=a
Mean deviation `=(Sigma|x_(i)-a|)/(10)=30`
`(2(4.5x+3.5x+2.5x+1.5x+.5x))/(10)=30`
`(2(12.5)|x|)/(10)=30`
`|x|=12`
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