NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1
Question 10

Question.  10

Times (s) taken by 150 athletes in a 110 m hurdle race:

Class13.8–1414–14.214.2–14.414.4–14.614.6–14.814.8–15
Frequency245714820

The number who finished in less than 14.6 s is

(A)

11

(B)

71

(C)

82

(D)

130

Detailed Answer with Explanation:

Step 1: Look carefully at the classes (time intervals). We want the number of athletes who finished the race in less than 14.6 seconds.

Step 2: The class intervals below 14.6 are:

  • 13.8–14   → Frequency = 2
  • 14–14.2   → Frequency = 4
  • 14.2–14.4   → Frequency = 5
  • 14.4–14.6   → Frequency = 71

Step 3: Add all these frequencies:

\(2 + 4 + 5 + 71 = 82\)

Step 4: Therefore, the total number of athletes who finished in less than 14.6 seconds is 82.

So, the correct answer is Option C (82).

NCERT Exemplar Solutions Class 10 – Mathematics – CHAPTER 13: Statistics and Probability – Exercise 13.1 | Detailed Answers