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Question

The below distribution shows the number of wickets taken by bowlers in one-day cricket match. Find the mean of the wickets.

NUMBER OF WICKETS206060100100150150250250350350450NUMBER OF BOWLERS75161223

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Solution

Using Step deviation method where assumed mean is a=200 and h=20

Number of Number xidi=xi200ui=(di20)uifiwickets takenof bowlers(fi) 20607401608566010058012063010015016125753.756015025012200000250350230010051035045034002001030TOTAL45 106

fiuifi = (10645)

¯x=a+fiuifi

¯x=200+(20)(10645)

=152.89


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