NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1Question 11
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1
Question. 11
Consider:
| Marks obtained | ≥0 | ≥10 | ≥20 | ≥30 | ≥40 | ≥50 |
|---|---|---|---|---|---|---|
| No. of students | 63 | 58 | 55 | 51 | 48 | 42 |
The frequency of the class 30–40 is
(A)
3
(B)
4
(C)
48
(D)
51
Detailed Answer with Explanation:
Step 1: The given table is a cumulative frequency table. It tells us how many students scored marks greater than or equal to a certain value.
Step 2: To find the number of students in the interval 30–40, we subtract:
- Students who scored ≥30 (which is 51)
- Students who scored ≥40 (which is 48)
Step 3: Subtract the two values:
\( 51 - 48 = 3 \)
Step 4: Therefore, the frequency of the class 30–40 is 3.
Final Answer: Option (A)