A student obtained the following marks in percentage in his semester examination English 50, Maths 65, Statistics 70, Economics 58 and Accountancy 63. The weights of these subjects are 2, 2, 1, 1 and 1 respectively. What is the weighted arithmetic mean?

A. 60

B. 61

C. 62

D. 63

Answer: Option A

Solution(By Examveda Team)

Weighted arithmetic mean
$$\eqalign{ & = \frac{{50 \times 2 + 65 \times 2 + 70 \times 1 + 58 \times 1 + 63 \times 1}}{{2 + 2 + 1 + 1 + 1}} \cr & = \frac{{100 + 130 + 70 + 58 + 63}}{7} \cr & = \frac{{421}}{7} \cr & = 60.14 \approx 60 \cr} $$