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Runs scored by a batsman in 10 innings a...

Runs scored by a batsman in 10 innings are : 38, 70,48,34,42,55,63,46,54,44
The mean deviation about median is

A

8.6

B

6.4

C

10.6

D

9.6

Text Solution

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The correct Answer is:
A
Arranging the given data in ascending order, we have
34, 38, 42, 44, 46, 48, 54, 55, 63, 70,
Medain, `M=(46+48)/(2)=47 " " (because n=10`, median is the mean of 5th and 6th items)
`therefore` Mean deviation `=(sum |x_(i)-M|)/(n)`
`=(sum|x_(i)-47|)/(10)`
`=(13+9+5+3+1+1+7+8+16+23)/(10)`
=8.6
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