For the given 25 variables : x₁, x₂, x₃,………, x₂₅.

Assertion (A): To find median of the given data, the variate need to be arranged in ascending or descending order.

Reason (R): The median is the central most term of the arranged data.

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

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

3. Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).

For the given 25 variables : x₁, x₂, x₃,………, x₂₅.

To compute the median, you must first arrange the data in either ascending or descending order. Only with ordered data, the middle value can be identified.

∴ Assertion (A) is true.

The median is a measure of central tendency that splits your ordered data into two equal parts—half the observations lie below it, and half lie above it.

Thus, the median is the central most term of the arranged data.

∴ Reason (R) is true.

∴ Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).

Hence, option 3 is the correct option.