Question

The given distribution shows the number of wickets taken by bowlers in inter-school competitions:
Find the median.

Answer 1

No. of wickets	No. of bowlers $\left(f\right)$	$C.F$
$0-3$	$9$	$9$
$3-6$	$3$	$12$
$6-9$	$5$	$17$
$9-12$	$3$	$20$
$12-15$	$1$	$21$
	$N=21$

We have,

$\frac{N}{2}=\frac{21}{2}$

$=10.5$

So,

Median class $=3-6$

So, we have $l=3,c.f=9,f=3$ and $h=3$

$Median=l+\frac{\frac{N}{2}-c.f}{f}\times h$

$=3+\frac{10.5-9}{3}\times 3$

$=3+1.5$

$=4.5$