Question

The data obtained for $100$ shops for their daily profit per shop are as follows :

Daily profit per shop (in Rs)	$0-100$	$100-200$	$200-300$	$300-400$	$400-500$	$500-600$
Number of shops	$12$	$18$	$27$	$20$	$17$	$6$

find the median profit per shop ?

Answer 1

$C.I$	$f_i$	$c.f$
$0-100$	$12$	$12$
$100-200$	$18$	$30$
$200-300$	$27$	$57$
$300-400$	$20$	$77$
$400-500$	$17$	$94$
$500-600$	$6$	$100$
	$\sum f_i=100$

$n=\sum f_i=100$ then, $\frac{100}{2}=50$

$\therefore$ $Medianclass=200-300$

The, $l=200,c.f=30,f=27$ and $h=100$

$\Rightarrow$ $Median=l+\frac{\frac{n}{2}-c.f}{f}\times 100$

$=200+\frac{50-30}{27}\times 100$

$=200+74.07$

$\therefore$ $Median=274.07$