# 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:

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:

Class | Frequency | Cumulative Frequency |

13.8-14 | 2 | 2 |

14-14.2 | 4 | 6 |

14.2-14.4 | 15 | 21 |

14.4-14.6 | 54 | 75 |

14.6-14.8 | 25 | 100 |

14.8-15 | 20 | 120 |

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

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