What is the final grade for this student? (round to two decimal places)
Quizzes = 5%, Exam 1 = 20%, Exam 2 = 20%, Lab Reports = 15%, Research Paper = 15%, Final Exam = 25%
Lab Reports: 75,80,70,75,85,69,90,75
Quizzes: 85,60,70,0,75,80,80,80
Exam 1: 80
Exam 2: 70
Research Paper: 85
Final Exam: 75
To calculate the final grade for this student, you need to assign each category a weight based on the percentage it contributes to the final grade. Then, calculate the weighted average of each category.
Given the weights:
- Quizzes: 5%
- Exam 1: 20%
- Exam 2: 20%
- Lab Reports: 15%
- Research Paper: 15%
- Final Exam: 25%
First, let's calculate the average score for each category.
For Lab Reports, add up all the scores and divide by the total number of lab reports:
(75 + 80 + 70 + 75 + 85 + 69 + 90 + 75) / 8 = 76.875
For Quizzes, add up all the scores and divide by the number of quizzes:
(85 + 60 + 70 + 0 + 75 + 80 + 80 + 80) / 8 = 68.75
The scores for Exam 1, Exam 2, Research Paper, and Final Exam are given, so no calculations are needed.
Next, calculate the weighted average for each category by multiplying the average score by its weight.
Weighted average for Lab Reports: 76.875 * 0.15 = 11.53125
Weighted average for Quizzes: 68.75 * 0.05 = 3.4375
Weighted average for Exam 1: 80 * 0.20 = 16
Weighted average for Exam 2: 70 * 0.20 = 14
Weighted average for Research Paper: 85 * 0.15 = 12.75
Weighted average for Final Exam: 75 * 0.25 = 18.75
Finally, sum up the weighted averages to get the final grade:
Final grade = Lab Reports + Quizzes + Exam 1 + Exam 2 + Research Paper + Final Exam
Final grade = 11.53125 + 3.4375 + 16 + 14 + 12.75 + 18.75 = 76.46875
Rounding to two decimal places, the final grade for this student is 76.47.