Question

Assertion (A): Median of a data is the value of `N/2`, where N represents sum of all frequencies.

Reason (R): Median divides the whole distribution in two equal parts.

Options

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

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

• Assertion (A) is true, but Reason (R) is false.

• Assertion (A) is false, but Reason (R) is true.

Answer 1

Assertion (A) is false, but Reason (R) is true.

Explanation:

The assertion is incorrect because the median is not the value of `N/2` itself. Here, N is the total frequency sum of all frequencies.

The median is the value of the variable or class interval corresponding to the `N/2`th observation when data is arranged in ascending order.

The reason is correct because the median divides the data into two equal halves, each containing half of the total frequency.