Fifteen 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
E) $89.88

Question

Quizplus · Accepted Answer

The weighted mean can be calculated by multiplying each group's average grade by the number of students in that group, summing these products, and then dividing by the total number of students. For the accounting majors: $15 \times 90 = 1350$, for the marketing majors: $7 \times 85 = 595$, and for the finance majors: $10 \times 93 = 930$. The total sum is $1350 + 595 + 930 = 2875$. Dividing this by the total number of students (32) gives a weighted mean of $2875 \div 32 = 89.84$.

Fifteen Accounting Majors Had an Average Grade of 90 on a Finance