Question

Assertion (A): For the following frequency distribution,

Marks below	Number of students
10	1
20	5
30	13
40	15
50	16

the modal class is 30–40.

Reason (R): In a frequency distribution, the class having maximum frequency is called the modal class.

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

• Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

• Assertion (A) is true and Reason (R) is false.

• Assertion (A) is false and Reason (R) is true.

Answer 1

Assertion (A) is false and Reason (R) is true.

Explanation:

Step 1 – Assertion: A is false. From the given distribution, the frequencies for the classes 0–10, 10–20, 20–30, 30–40 and 40–50 are 1, 4, 8, 2 and 1, respectively. The maximum frequency is 8, so the modal class is 20–30, not 30–40.

Step 2 – Reason: R is true. The class with the maximum frequency is called the modal class.