Question

Consider the frequency distribution of the height of clan:-
Find median class

Height $cm$	$150-155$	$155-160$	$160-165$	$165-170$	$170-175$	$175-180$
No of student	$16$	$12$	$9$	$7$	$10$	$6$
Cummulative frequency	$16$	$28$	$37$	$44$	$54$	$60$

Answer 1

$\Rightarrow$ Here, $n=60$ and $\frac{n}{2}=\frac{60}{3}=30$

$\therefore$ Median class $=160-165$

We have, $l=160,c.f=28,f=9$ and $h=5$

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

$=160+\frac{30-28}{9}\times 5$

$=160+1.11$

$=161.11$