Question

The times (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. 11
• B. 71
• C. 82
• D. 130

Answer 1

The correct option is

C

82

The number of atheletes who completed the race in less than 14.6 is equal to sum of all frequencies up to$14.4-14.6$ class interval

$=2+4+5+71$

$=82$

$\therefore$ 82 athletes completed the race in less than 14.6 s.