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Question

The following is the record of goals scored by team A in a football session :

No. of goals scored01234No. of matches19753

For the team B, mean number of goals scored per match was 2 with a standard deviation 1.25 goals. Find which team may be considered more consistent ?

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Solution

Team A

xififixifx201 0 019 9 92714283515454312482550130

Mean(¯¯¯¯¯¯xA)=1Nfx=125×50=2

S.D.(σA)=fx2N(fxN)2

=13025(5025)2

=5.24=1.2=1.09

C.V. of team A=1.092×100=54.5

C.V. of team B=1.252×100=62.5

Since C.V. of team A<C.V. of team B.Thus team A is more consistent.


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