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

Question 10

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).