Question

The distribution below gives the marks of $100$ students of a class
.

Marks	$0-5$	$5-10$	$10-15$	$15-20$	$20-25$	$25-30$	$30-35$	$35-40$
Number of students	$4$	$6$	$10$	$10$	$25$	$22$	$18$	$5$

Draw a less than type and a more than type ogive from the gives data. Hence, obtain the median marks from the graph.

Answer 1

Marks	Cumulative Frequency	Marks	Cumulative Frequency
Less than $5$	$4$	More than $0$	$100$
Less than $10$	$10$	More than $5$	$96$
Less than $15$	$20$	More than $10$	$90$
Less than $20$	$30$	More than $15$	$80$
Less than $25$	$55$	More than $20$	$70$
Less than $30$	$77$	More than $25$	$45$
Less than $35$	$95$	More than $30$	$23$
Less than $40$	$100$	More than $35$	$5$

Hence, median marks $=24$