Question

Find median from the following distribution :

Class	Frequency
5 - 10	5
10 - 15	6
15-20	15
20-25	10
25-30	5
30-35	4
35-40	2
40-45	2

Answer 1

Answer: 19.50

Class	$f_i$	$C.F$ .
5 - 10	5	5
10 - 15	6	11
15-20	15	26
20-25	10	36
25-30	5	41
30-35	4	45
35-40	2	47
40-45	2	49

$\frac{N}{2}=\frac{49}{2}=24.5$
Median class is $(15-20)$
As, Median $=15+\frac{24.5-11}{15}\times 5$
$=15+\frac{13.5}{3}=15+4.5=19.5$