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Question

The times, in seconds, taken by 150 athletes to run a 110m hurdle race are tabulated below The number of athletes who completed the race in less than 14.6 seconds is :

ClassFrequency
13.8-142
14-14.24
14.2-14.45
14.4-14.671
14.6-14.848
14.8-1520

A

11

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B

71

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C

82

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D

30

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Solution

The correct option is C

82


Explanation for the correct option.

It is given the time taken by 150 athletes to run a 110m hurdle race.

Column of cumulative frequency is,

ClassFrequencyCummulative frequency
13.8-1422
14-14.242+4=6
14.2-14.456+5=11
14.4-14.67111+71=82
14.6-14.84882+48=130
14.8-1520130+20=150

From the above table, the cumulative frequency written beside the interval 14.414.6 is 82. We have chosen the interval 14.414.6 because it shows the number of athletes who completed the race before that interval and during that interval, combined.
Therefore, the correct option is (C).


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