Understanding weighted grade calculations
Most courses use weighted categories:
- homework 20-30%
- midterms 25-40%
- final exam 20-35%
- participation/quizzes 5-15%
- projects 10-20%
The weighted average formula is: Final Grade = Σ(category grade × category weight). With homework 90% (25% weight), midterm 75% (35% weight), and final exam 82% (40% weight): Final Grade = 90×0.25 + 75×0.35 + 82×0.40 = 22.5 + 26.25 + 32.8 = 81.55% (B-).
To find the needed final exam score for a target grade: Required = (Target - Σ earned weighted scores) / remaining weight. If you have 90×0.25 + 75×0.35 = 48.75 earned points and need 80% overall with 40% weight remaining: Required = (80 - 48.75) / 0.40 = 78.1% on the final.