Question

The arithmetic mean of 20 numbers is 16. If each number is multiplied by 3, then the new mean is

• A. 60
• B. 48
• C. 23
• D. 19

Hint:

Multiplying all observations by a constant multiplies the mean by the same constant.

Answer 1

The Correct Option is B

Concept: If every number in a dataset is multiplied by a constant, the mean is also multiplied by the same constant. Explanation: Original mean = 16 Each number is multiplied by 3 New mean: \[ 16 \times 3 = 48 \]