Final answer:
The student's final grade for the course is calculated by taking the average of each category of grades, applying the given weightings, and adding them together to find the final weighted average grade, which is 87.35.
Step-by-step explanation:
To calculate the student's final grade, we need to calculate the weighted average of the grades in each category (Homework, Labs, Tests, and Final Exam) using the given weights. Here's how you can do it:
- Calculate the average grade for Homework: (83 + 92 + 95 + 90) / 4 = 90
- Calculate the average grade for Labs: (90 + 100) / 2 = 95
- Calculate the average grade for Tests: (90 + 78 + 84 + 88) / 4 = 85
- Calculate the weighted average for each category by multiplying the average grade with its weight
- Hence, Homework average * Homework weight: 90 * 0.25 = 22.5
- Labs average * Labs weight: 95 * 0.15 = 14.25
- Tests average * Tests weight: 85 * 0.40 = 34
- Final Exam grade * Final Exam weight: 83 * 0.20 = 16.6
- Add up the weighted averages from each category: 22.5 + 14.25 + 34 + 16.6 = 87.35
Therefore, the student's final grade for the course is 87.35.