Question

A teacher weights his final grade calculations as follows:

Tests: 40%
Labs: 20%
Homework: 25%
Final Exam: 15%
A student has the following grades in the gradebook:
Homework: 83, 92, 95, 90
Labs: 90, 100
Test Grades: 90, 78, 84, 88
Final Exam Grade: 83
Determine the student's final grade for the course.
.
.
.
O 86.6
O 87.95
83.85
O 72.36

Answer 1

87.95

Explanation:

The homework average is:

(83 + 92 + 95 + 90) / 4 = 90

The lab average is:

(90 + 100) / 2 = 95

The test average is:

(90 + 78 + 84 + 88) = 85

The final exam grade is 83.

Therefore, the student's final grade is:

0.40 (85) + 0.20 (95) + 0.25 (90) + 0.15 (83) = 87.95

Answer 2

To determine the student's final grade for the course, we need to calculate the weighted average of their grades in each category.

Let's start by calculating the weighted average for each category:

1. Tests: The student has test grades of 90, 78, 84, and 88. To calculate the average test grade, we add up these grades and divide by the total number of test grades, which is 4. The average test grade is (90 + 78 + 84 + 88) / 4 = 85.

2. Labs: The student has lab grades of 90 and 100. To calculate the average lab grade, we add up these grades and divide by the total number of lab grades, which is 2. The average lab grade is (90 + 100) / 2 = 95.

3. Homework: The student has homework grades of 83, 92, 95, and 90. To calculate the average homework grade, we add up these grades and divide by the total number of homework grades, which is 4. The average homework grade is (83 + 92 + 95 + 90) / 4 = 90.

4. Final Exam: The student has a final exam grade of 83.

Next, we need to apply the weightings to each category:

1. Tests: The weight for tests is 40%. To calculate the weighted test grade, we multiply the average test grade by 40% (or 0.4). The weighted test grade is 85 * 0.4 = 34.

2. Labs: The weight for labs is 20%. To calculate the weighted lab grade, we multiply the average lab grade by 20% (or 0.2). The weighted lab grade is 95 * 0.2 = 19.

3. Homework: The weight for homework is 25%. To calculate the weighted homework grade, we multiply the average homework grade by 25% (or 0.25). The weighted homework grade is 90 * 0.25 = 22.5.

4. Final Exam: The weight for the final exam is 15%. To calculate the weighted final exam grade, we multiply the final exam grade by 15% (or 0.15). The weighted final exam grade is 83 * 0.15 = 12.45.

Finally, we sum up the weighted grades to calculate the student's final grade:

Final Grade = Weighted Test Grade + Weighted Lab Grade + Weighted Homework Grade + Weighted Final Exam Grade

Final Grade = 34 + 19 + 22.5 + 12.45

Final Grade ≈ 87.95

Therefore, the student's final grade for the course is approximately 87.95.