A professor wishes to develop a numerical method for giving grades. He intends to base the grade on homework, two midterms, a project, and a final examination. He wishes the final exam to have the largest influence on the grade. He wants the project to have 10%, each midterm to have 20%, and the homework to have 10% of the influence of the semester grade.

For a student with the following grades during the quarter, calculate a weighted average for the course:

Instrument Final Project Midterm 1 Modterm 2 Homework
Percentage Grade 64 98 67 63 89

Question

A professor wishes to develop a numerical method for giving grades. He intends to base the grade on homework, two midterms, a project, and a final examination. He wishes the final exam to have the largest influence on the grade. He wants the project to have 10%, each midterm to have 20%, and the homework to have 10% of the influence of the semester grade.

For a student with the following grades during the quarter, calculate a weighted average for the course:

Instrument	Final	Project	Midterm 1	Modterm 2	Homework
Percentage Grade	64	98	67	63	89

BlackTom AI · Accepted Answer

First, restate the given information in my own words to ensure correctness: the weights are final = 40%, project = 10%, midterm 1 = 20%, midterm 2 = 20%, and homework = 10%. The grades are Final 64, Project 98, Midterm 1 67, Midterm 2 63, Homework 89.

Now evaluate each option by calculating the weighted contribution of each component and summing them.

Option A: 68.30
- This value would imply a different combination of weights or grades since the actual weighted sum from the given numbers does not neatly align with 68.30. If you test it by reverse-engineering, you still should get close to 70.3 with the stated weights, so 68.30 is off.

Option B: 68.50
- Similar to A, this value is not consistent with applying the specified weights to the provided scores. The final calculation with 40/10/20/20/10 yields a result around 70.3, not 68.5.

Option C: 73.30
- This is significantly higher than the computed weighted average using the given weights and scores. The final is only 40%, and the other components are not large enough to push the total to 73.3 with the provided grades.

Option D: 70.30
- This matches the direct calculation: Final contributes 64 × 0.40 = 25.6; Project contributes 98 × 0.10 = 9.8; Midterm 1 contributes 67 × 0.20 = 13.4; Midterm 2 contributes 63 × 0.20 = 12.6; Homework contributes 89 × 0.10 = 8.9. Adding these: 25.6 + 9.8 + 13.4 + 12.6 + 8.9 = 70.3. Therefore, 70.30 is the correct weighted average.

To summarize the reasoning: identify the weights so that they sum to 100% (final 40%, project 10%, midterms 20% each, homework 10%), multiply each grade by its weight, and add the results. The computed total is 70.30, so among the options, 70.30 is the correct weighted average, while the other options are inconsistent with the given data and weight scheme.

OSC 2030-009 Fall 2025 SUBMIT: Graded Homework Module 2 (Chap 3)

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