Question

A university student earned grades 84, 78, 84, and 72 on his four regular tests. He earned a grade of 78 on the final exam and 86 on his class projects. His combined homework grade was 87. The four regular tests count for 40% of the final grade, the final exam counts for 30%, the project counts for 10%, and the homework counts for 20%. What is his weighted mean grade? Round to one decimal place.

Answer 1

His weighted mean grade is 81.2.

Explanation:

His weighed mean grade is given by the following formula:

`M = 0.40RT + 0.30F + 0.10P + 0.20H`

We have that RT is the mean of the regular tests. The student earned grades 84, 78, 84, and 72 on his four regular tests. So the mean is

`RT = (84+78+84+72)/(4) = 79.5`

F is the grade on the final exam. He earned a grade of 78 on the final exam, so
`F = 78`

P is the grade of the project. So
`P = 86`.

H is the homework grade, so
`H = 87`.

So

`M = 0.40RT + 0.30F + 0.10P + 0.20H`

`M = 0.40(79.5) + 0.30(78) + 0.10(86) + 0.20(87) = 81.2`

His weighted mean grade is 81.2.