Question

Find the median for the following frequency distribution:

Class Interval	0-10	10-20	20-30	30-40	40-50	50-60
Frequency	6	9	14	2	19	10

Answer 1

$Class-Interval$	$Frequency$	$Cumlativefrequency$
$0-10$	$6$	$6$
$10-20$	$9$	$15$
$20-30$	$14$	$29$
$30-40$	$2$	$31$
$40-50$	$19$	$50$
$50-60$	$10$	$60$
	$N=60$

Here, $N=60$, then $\frac{N}{2}=\frac{60}{2}=30$

$\therefore$ Median class $=30-40$

So, $l=30,c.f=29,f=3$ and $h=10$

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

$=30+\frac{30-29}{2}\times 10$

$=30+5$

$\therefore$ $Median=35$