Question

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

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

Find the meantime taken to settle a dispute in a lower court.

• A. $6.9$ months
• B. $6.16$ months
• C. $6.66$ months
• D. None of these

Answer 1

Answer: (B)

$6.16$ months

Consider the following table to calculate mean:

Class Interval	$f_i$	$x_i$	$f_i{x}_i$
$0-2$	$15$	$1$	$15$
$2-4$	$90$	$3$	$270$
$4-8$	$120$	$5$	$600$
$8-6$	$75$	$7$	$525$
$6-10$	$70$	$9$	$630$
$10-12$	$50$	$11$	$550$

$N=\sum f_i$

$=420$

$\sum f_i{x}_i=2590$

$\overline{x}=\frac{\sum f_i{x}_i}{N}$

$\Rightarrow \overline{x}=\frac{2590}{420}$

$\Rightarrow \overline{x}=6.16$

The mean time to settle a dispute in a lower court is $6.16$ months.

Hence, option $C$ is correct.