A student's course grade is based on one midterm that counts as 15% of his final grade, one class project that counts as 15% of his final grade, a set of homework assignments that counts as 40% of his final grade, and a final exam that counts as 30% of his final grade. His midterm score is 73, his project score is 97, his homework score is 81, and his final exam score is 68. 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.
To calculate the student's overall final score, we need to find the weighted average of his scores in each component of the course.
To find the weighted average, we multiply each score by its corresponding weight and then sum them up.
Step 1: Calculate the weighted score for each component:
Midterm Score: 73 * 0.15 = 10.95
Project Score: 97 * 0.15 = 14.55
Homework Score: 81 * 0.40 = 32.40
Final Exam Score: 68 * 0.30 = 20.40
Step 2: Sum up the weighted scores:
10.95 + 14.55 + 32.40 + 20.40 = 78.30
Step 3: Calculate the overall final score:
The overall final score is 78.30.
Now, let's determine the letter grade:
A score of 90 or above is an A.
A score of at least 80 but less than 90 is a B.
A score of at least 70 but less than 80 is a C.
A score of at least 60 but less than 70 is a D.
A score below 60 is an F.
Based on the overall final score of 78.30, the student earned a letter grade of C.
To calculate the overall final score, we need to calculate the weighted average of the individual scores based on their respective percentages.
1. Calculate the weighted scores for each component:
- Midterm score: 73 * 0.15 = 10.95
- Project score: 97 * 0.15 = 14.55
- Homework score: 81 * 0.40 = 32.40
- Final exam score: 68 * 0.30 = 20.40
2. Add up the weighted scores:
10.95 + 14.55 + 32.40 + 20.40 = 78.30
Therefore, the overall final score is 78.30.
3. Determine the letter grade based on the overall final score:
- Mean of 90 or above is an A
- Mean of at least 80 but less than 90 is a B
- Mean of at least 70 but less than 80 is a C
- Mean of at least 60 but less than 70 is a D
- Mean below 60 is an F
Since the overall final score is 78.30, the student has earned a letter grade of C.