Question

Assertion (A): The mode of the numbers 2, 3, 3, 4, 5, 4, 4, 5, 3, 4, 2, 6, 7 is 4.

Reason (R): Mode is a measure of central tendency that gives the value of the middle-most observation in the data.

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 true and Reason (R) is false.

Explanation:

Step 1 – Assertion: A is true. The number 4 occurs four times, more often than any other number, so it is the mode.

Step 2 – Reason: R is false. The middle-most observation describes the median; the mode is the most frequently occurring observation.