Question

calculate a weighted mean for a given scenario. a student has an average of 86% on the unit tests, 85% on the final test, 90% on the class project, and 92% on homework submissions. if the unit tests count for 25% of the final grade, the final test counts for 40%, the class project counts for 15%, and homework submissions count for 20%, what is the weighted average grade of the student? a.) 86.4% b.) 86% c.) 88% d.) 87.4%

Answer 1

To calculate the weighted average grade, multiply each percentage score by its weight and sum the results. The student's weighted average grade is 87.4%, which corresponds to option d.) 87.4%.

Step-by-step explanation:

The weighted average grade of the student can be calculated by multiplying each component percentage by its respective weight, then adding the results together. Here is how to compute it:

• Unit tests: 86% × 25% = 21.5%
• Final test: 85% × 40% = 34.0%
• Class project: 90% × 15% = 13.5%
• Homework: 92% × 20% = 18.4%

Add these weighted percentages together:

21.5% + 34.0% + 13.5% + 18.4% = 87.4%

Therefore, the weighted average grade of the student is 87.4%. The correct answer is option d.) 87.4%.