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The scores of a batsman in 10 innings a...

The scores of a batsman in `10` innings are `70, 38, 34, 48, 55, 42, 63, 46, 54, 44`. The mean deviation about medium is -

A

`7.6`

B

`8.6`

C

`8.2`

D

`8.4`

Text Solution

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The correct Answer is:
B
Median
`34, 38, 42, 44, 46, 48, 54, 55, 63, 70`
`:.` Median `(46 + 48)/(2) = 47`
Hence `sum|"xi"-M_(d)| = sum|"xi"-47| = 86`
`:. M.D(M_(2)) = (sum|"xi"-M_(d)|)/(N)`
`= (86)/(10)`
`= 8.6`
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