Question

ifteen accounting majors had an average grade of 90 on a finance exam. Seven marketing majors averaged 85, while ten finance majors averaged 93 on the same exam. What is the weighted mean for the 32 students taking the exam? A. 89.84 B. 89.33 C. 89.48 D. Impossible to determine without more information

Answer 1

A. 89.84

Explanation:

Weighed mean:

Sum of the multiplications of each value by its weight, divided by the sum of the weights.

Weights:

15 had an average of 90.

7 averaged 85.

10 averaged 93.

What is the weighted mean for the 32 students taking the exam?

`M = (15*90 + 7*85 + 10*93)/(15 + 7 + 10) = 89.84`

Thus the correct answer is given by option A.