Question

In the table given below, the times taken by 120 athletes to run a 100 m hurdle race are given:

Class	13.8-14	14-14.2	14.2-14.4	14.4-14.6	14.6-14.8	14.8-15
Frequency	2	4	15	54	25	20

Find the number of athletes who completed the race in less than 14.6 seconds.

Answer 1

Given distribution table can be written as following:

Class	Frequency	Cumulative frequency
Less than 14	2	2
Less than 14.2	4	6
Less than 14.4	15	21
Less than 14.6	54	75
Less than 14.8	25	100
Less than 15	20	120

Number of athletes who completed the race in less than 14.6 sec = 75