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Solution


Q.

The times in seconds, taken by 150 athletes to run a 110 m hurdle race are tabulated below:

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 5 71 48 20

The number of athletes who completed the race in or equal to 14.6 seconds is:
1 11  
2 71  
3 82  
4 130  

Ans.

(3)

We have,

Class Frequency Cumulative frequency
13.8–14 2 2
14–14.2 4 6
14.2–14.4 5 11
14.4–14.6 71 82
14.6–14.8 48 130
14.8–15 20 150

From the above cumulative frequency table, 82 athletes completed the race in or equal to 14.6 seconds.