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

Answer 1

Runs scored	0 – 40	40 – 80	80 – 120	120 – 160	160 – 200	Total
Number of batsmen ${\displaystyle \left(f_i\right)}$	12	20	35	30	23	120
${\displaystyle x_i}$	20	60	100	140	180
${\displaystyle f_i{x}_i}$	240	1200	3500	4200	4140	13280

Mean ${\displaystyle \left(\overline{x}\right)=\frac{\sum f_i{x}_i}{\sum f_i}=\frac{13280}{120}}$ = 110.67 runs