Question

A study related to the time (in months) taken to settle a dispute in a lower court produced the following data.

Time (in months)	0-2	2-4	4-6	6-8	8-10	10-12
No. of disputes	15	90	120	75	70	50

Find the mean time taken to settle a dispute in a lower court.

Answer 1

Time (in months) (Class interval)	Class Marks $\left(x_i\right)$	No. of students $\left(f_i\right)$	$\left(f_i\right)$$\left(x_i\right)$
0-2	1	15	15
2-4	3	90	270
4-6	5	120	600
6-8	7	75	525
8-10	9	70	630
10-12	11	50	550
Total	-	$\sum _{}^{}{f}_i=420$	$\sum _{}^{}{f}_i{x}_i=2590$

$\mathrm{Mean}=\overline{x}=\frac{{\displaystyle \sum _{}^{}}{f}_i{x}_i}{{\displaystyle \sum _{}^{}}{f}_i}=\frac{2590}{420}=6.16$

Therefore, the mean time taken to settle a dispute in a lower court is 6.16 months.