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 less than 14.6 seconds is:
a. 11
b. 71
c. 82
d. 130

Solution:

The number of athletes who completed the race in less then 14.6 seconds is the sum of all frequencies up to the class interval 14.4-14.6

= 2 + 4 + 5 + 71

= 82

Therefore, the number of athletes who completed the race in less than 14.6 seconds is 82.

✦ Try This: The times, in seconds, taken by 120 athletes to run a 100 m hurdle race are tabulated below:

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

Here 75 athletes completed the race in less than 14.6 seconds. Therefore, the number of athletes who completed the race in less than 14.6 seconds is 75.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.1 Problem 10

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 less than 14.6 seconds is: a. 11, b. 71, c. 82, d. 130

Summary:

The times, in seconds, taken by 150 athletes to run a 110 m hurdle race are provided. The number of athletes who completed the race in less than 14.6 seconds is 82

☛ Related Questions:

• Consider the following distribution: Marks obtained Number of students Number of students 63 More th . . . .
• If an event cannot occur, then its probability is a. 1, b. 3/4, c. 1/2, d. 0
• Which of the following cannot be the probability of an event a. 1/3, b. 0.1, c. 3%, d. 17/16