[Answer] The distribution given below shows the runs scored by batsmen in one-day cricket matches. Find the mean number of runs.

The Question : The distribution given below shows the runs scored by batsmen in one-day cricket matches. Find the mean number of runs.

Runs scored 0 – 40 40 – 80 80 – 120 120 – 160 160 – 200
Number of batsmen 12 20 35 30 23

Solution for the question :
Runs Scored0-4040-8080-120120-160160-200TotalNumber of Batsmen (fᵢ)1220353023120xi2060100140180fixi240120035004200414013280Mean (x̄) = Σfᵢxᵢ / Σfᵢ = 13280/120 = 110.67 runs

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