Question

A​ student's course grade is based on one midterm that counts as 5​% of his final​ grade, one class project that counts as 25​% of his final​ grade, a set of homework assignments that counts as 35​% of his final​ grade, and a final exam that counts as 35​% of his final grade. His midterm score is 72​, his project score is 83​, his homework score is 91​, and his final exam score is 74. What is his overall final​ score? What letter grade did he earn​ (A, B,​ C, D, or​ F)? Assume that a mean of 90 or above is an​ A, a mean of at least 80 but less than 90 is a​ B, and so on.His overall final score is nothing.

Answer 1

His overal final score is 81.2. His letter grade is a B.

Explanation:

Weighed average:

The sum of all values multiplied by it's weight. The weight is a proportion(a value between 0 and 1).

So.

Score of 72 on the midterm, which counts 5%.

Score of 83 on the project score, which counts 25%.

Score of 91 on homework assignments, which counts 35%.

Score of 74 on the final exam, which counts 35%.

His grade is:

G = 72*0.05 + 83*0.25 + 91*0.35 + 74*0.35 = 82.1.

His overal final score is 81.2.

At least 80 but less than 90 is a​ B

So his letter grade is a B.