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Question

Steven Gerrard, arguably one of the most consistent and skilled players in the English premier league was given the following monthly ratings by a football website for the past 40 months.

Rating688.59710Number of months with the rating2810785

Calculate the mean deviation about mean for his ratings.


A

0.825

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B

0.85

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C

0.9

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D

1

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Solution

The correct option is A

0.825


Mean = FXF

Mean, ¯X=6(2)+8(8)+(8.5)(10)+9(7)+7(8)+10(5)2+8+10+7+8+5=33040=8.25

The deviations from mean are tabulated below.

XFD=|X¯X|FD622.254.5880.2528.5100.252.5970.755.25781.25101051.758.75 F=40 FD=33

M.D(¯X)=FDF=3340=0.825

Coefficient of M.D(¯X)=M.D(¯X)¯X=0.8258.25=0.1


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