Question

Calculate the weighted arithmetic mean of 10, 20, and 30, when the given weights are:
(A) 1, 2 and 1 respectively
(B) 1, 1 and 3 respectively
(C) 1, 2 and 3 respectively
(D) 2, 1 and 2 respectively
Choose the correct answer from the options given below:

• A. (A), (B), (C), (D)
• B. (B), (C), (D), (A)
• C. (B), (A), (D), (C)
• D. (C), (B), (D), (A)

Answer 1

The Correct Option is B

The weighted arithmetic mean is calculated as:
\( \text{Mean} = \frac{\sum (\text{value}) \times (\text{weight})}{\sum \text{weights}} \)

For (B) with weights \( 1, 1, 3 \): 
\(\text{Mean} = \frac{10(1) + 20(1) + 30(3)}{1 + 1 + 3} = \frac{10 + 20 + 90}{5} = 24\)

 Thus, the correct answer is (b).