Question

The time (in seconds) taken by 150 athletes to run a 110 m hurdle race are tabulated below:

$\begin{array}{ccccccc}\text{Class}& 13.8-14& 14-14.2& 14.2-14.4& 14.4-14.6& 14.6-14.8& 14.8-15\\ \text{Frequency}& 2& 4& 5& 71& 48& 20\end{array}$

The number of athletes who completed the race in less than 14.6 s is ____.

• A. 82

Answer 1

The correct option is A 82

The number of athletes who completed the race in 13.8 - 14 seconds = 2

The number of athletes who completed the race in 14 - 14.2 seconds = 4

The number of athletes who completed the race in 14.2 - 14.4 seconds = 5

​​​​​​​The number of athletes who completed the race in 14.2 - 14.6 seconds = 71

$\therefore$ The number of athletes who completed the race in less than 14.6 seconds

= 2 + 4 + 5 + 71

= 82