GradeCalculations

How to Calculate Weighted Grades

Quick answer: Multiply each category average by its weight, add the results, then divide by the sum of the weights: weighted grade = Σ(grade × weight) ÷ Σ(weight). Example: homework 20% at 95, quizzes 30% at 84, exams 50% at 88 gives (95×20 + 84×30 + 88×50) ÷ 100 = 88.2%.
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The method, step by step

A weighted grade is just an average where some categories count more than others. Three steps: multiply each category's average by its weight, add those products together, divide by the total of the weights. When the weights sum to 100, that last step is dividing by 100 — but the formula works with any weights, which matters when the course isn't finished yet.

CategoryAverageWeightGrade × weight
Homework95%201,900
Quizzes84%302,520
Exams88%504,400
Total1008,820

Weighted grade = 8,820 ÷ 100 = 88.2%. Notice what the weighting did: the plain average of 95, 84 and 88 is 89 — but exams count half the course, so the real grade sits closer to the 88 than to the 95.

The mid-semester trap: divide by completed weight, not 100

The single most common mistake with weighted grades happens before the course is over. Say you've finished homework (95%) and quizzes (84%) but haven't taken any exams. If you divide by 100 anyway, you get (1,900 + 2,520) ÷ 100 = 44.2% — which treats the untaken exams as zeros and looks like you're failing.

The fix: divide by the weight you've actually completed. Homework plus quizzes is 20 + 30 = 50 weight, so your current grade is (1,900 + 2,520) ÷ 50 = 88.4%. That's the number your school's grade portal shows, and it's the honest answer — the exam half of your grade simply doesn't exist yet.

When weights don't add to 100

Some instructors weight in points or ratios instead — homework ×1, quizzes ×2, exams ×3. The same formula handles it because you divide by the sum of whatever the weights are: with grades of 95, 84 and 88 that's (95×1 + 84×2 + 88×3) ÷ 6 = 527 ÷ 6 = 87.8%. As long as you divide by Σ(weight), the scale of the weights never matters.

Try it yourself: Weighted Grade Calculator

Enter your category averages and weights — the weighted grade updates as you type, no algebra required.

Open the full Weighted Grade Calculator →

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Frequently asked questions

Do the weights have to be percentages?

No. The formula divides by the sum of the weights, so 20/30/50, 2/3/5 and 0.2/0.3/0.5 all produce the identical answer. Use whatever numbers your syllabus gives you.

What if one category has no grades yet?

Leave it out of both the top and bottom of the formula — don't enter it as a zero. Including an empty category as 0 is exactly the divide-by-100 trap and will understate your grade badly.

How is this different from a points-based course?

In a points system, a 100-point exam simply is worth ten 10-point homeworks — the weighting is built into the point values. Divide total points earned by total points possible and you're done; no category math needed.

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