Question

A​ student's course grade is based on one midterm that counts as ​% of his final​ grade, one class project that counts as ​% of his final​ grade, a set of homework assignments that counts as ​% of his final​ grade, and a final exam that counts as ​% of his final grade. His midterm score is ​, his project score is ​, his homework score is ​, and his final exam score is . 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.

Answer 1

The overall score is 75.6

Letter grade is C

Explanation:

The question has missing details (See comment section for complete question).

From the complete question, we have:

Proportion:

`Midterm = 15\%`

`Project = 25\%`

`Assignment = 40\%`

`Exam = 20\%`

Scores

`Midterm = 66`

`Project = 90`

`Assignment = 75`

`Exam = 66`

Solving (a): The overall score

To do this, we simply calculate the mean of the given data.

The mean is calculated by multiplying each proportion by the scores..

So, we have:

`Overall = 15\% * 66 + 25\% * 90 + 40\% * 75 + 20\% * 66`

`Overall = 9.9 + 22.5 + 30 + 13.2`

`Overall = 75.6`

Solving (b): The letter grade

From the question, we have:

`A: Mean \ge 90`

`B: 80 \le Mean < 90`

`C: 70 \le Mean < 80`

The overall score falls in the following category:

`C: 70 \le Mean < 80`

Because:

`70 \le 75.6 < 80`

Hence, the letter grade is C