Final Grade 0F714D
1. The problem is to calculate the final grade based on weighted components.
2. The weights and achieved percentages are:
- Reading Quizzes: 10% weight, 97% achieved
- Concept Quizzes: 10% weight, 88% achieved
- Homework: 15% weight, 98.45% achieved
- Tests: 50% weight, 41.67% achieved
- Final Exam: 15% weight, 77.14% achieved
3. The formula for weighted average grade is:
$$\text{Final Grade} = \sum (\text{Weight}_i \times \text{Score}_i)$$
where weights are in decimal form.
4. Convert weights to decimals and multiply by scores:
- Reading Quizzes: $0.10 \times 97 = 9.7$
- Concept Quizzes: $0.10 \times 88 = 8.8$
- Homework: $0.15 \times 98.45 = 14.7675$
- Tests: $0.50 \times 41.67 = 20.835$
- Final Exam: $0.15 \times 77.14 = 11.571$
5. Sum all weighted scores:
$$9.7 + 8.8 + 14.7675 + 20.835 + 11.571 = 65.6735$$
6. Therefore, the final grade is approximately $65.67$%.