A student's course grade is based on one midterm that counts as 5% of his final grade, one class project that counts as 20% of his final grade, a set of homework assignments that counts as 30% of his final grade, and a final exam that counts as 45% of his final grade. His midterm score is 83, his project score is 84, his homework score is 88, and his final exam score is 75. 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.
final score is
.05*83 + .20*84 + .30*88 + .45*75 = 81.1
81.1, B
To calculate the student's overall final score, we will combine the percentages of each component and multiply it by their respective scores.
1. Midterm score: 83 (5% of the final grade)
Calculation: 83 * 0.05 = 4.15
2. Project score: 84 (20% of the final grade)
Calculation: 84 * 0.20 = 16.8
3. Homework score: 88 (30% of the final grade)
Calculation: 88 * 0.30 = 26.4
4. Final exam score: 75 (45% of the final grade)
Calculation: 75 * 0.45 = 33.75
Now, we add up the results from the calculations:
4.15 + 16.8 + 26.4 + 33.75 = 81.1
The student's overall final score is 81.1.
To determine the letter grade, we will compare the overall final score to the grading scale:
- A: 90 or above
- B: 80 to 89.9
- C: 70 to 79.9
- D: 60 to 69.9
- F: below 60
Since the student's final score is 81.1, they would earn a "B" grade.
To calculate the overall final score, we need to determine the weighted score for each component of the student's grade and then sum them up.
First, let's calculate the weighted score for each component:
Midterm: 5% of his final grade = 0.05 * 83 = 4.15
Class Project: 20% of his final grade = 0.20 * 84 = 16.80
Homework: 30% of his final grade = 0.30 * 88 = 26.40
Final Exam: 45% of his final grade = 0.45 * 75 = 33.75
Next, we add up the weighted scores for each component to get the overall final score:
Overall Final Score = Midterm + Class Project + Homework + Final Exam
= 4.15 + 16.80 + 26.40 + 33.75
= 80.10
Therefore, the student's overall final score is 80.10.
To determine the letter grade, we'll use the following grading scale:
A: Mean of 90 or above
B: Mean of at least 80 but less than 90
C: Mean of at least 70 but less than 80
D: Mean of at least 60 but less than 70
F: Mean below 60
Given that the student's overall final score is 80.10, we can see that it falls within the B range.
Hence, the student earned a letter grade of B.