Question

The runs made by players in a cricket match are given below.

Class	0-10	10-20	20-30	30-40	40-50
frequency	5	25	p	18	7

If median is 24, find the value of p.

Answer 1

Median$=L+\frac{\left(n/2\right)-\beta }{G}\times W$

Where L is Lower limit of median class

n is total number of values

B is C.F of the classes before median class

G is frequency of median class

W is class width.

Median$=20+\frac{\frac{55+P}{2}-30}{P}\times 10=24$

$4=\frac{(55+P)5-300}{P}$

$4P=275+5P-300$

$P=25$.