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
Frequencу	2	4	15	54	25	20

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

Answer 1

Given:

Times (seconds) and frequencies from the table:

13.8 – 14 : 2

14 – 14.2 : 4

14.2 – 14.4 : 15

14.4 – 14.6 : 54

14.6 – 14.8 : 25

14.8 – 15 : 20

Step-wise calculation:

1. Classes with times less than 14.6 s are:

13.8 – 14 

14 – 14.2

14.2 – 14.4

14.4 – 14.6

2. Sum their frequencies:

2 + 4 + 15 + 54 = 75

The number of athletes who completed the race in less than 14.6 seconds is 75.