Guide · Tests & exams
Weighted Test & Exam Average
Updated: June 2026
A quiz and a final exam rarely deserve equal billing, yet students often average their test scores as if they did. Two situations call for weighting: when tests count for different shares of the grade, and when they're marked out of different totals. Handle both correctly and your average finally reflects what actually happened.
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Tests that count for different shares
This is the classic case: a quiz worth 10%, a midterm worth 30%, a final worth 60%. Each test's share is its weight, and the average is the familiar formula:
Even if your scores are strong on the small quizzes, a weak final at 60% will dominate — which is exactly the point of weighting. Averaging all three equally would flatter a result the syllabus never intended.
Worked example — different shares
| Test | Score | Weight | score × weight |
|---|---|---|---|
| Quiz | 95 | 10 | 950 |
| Midterm | 82 | 30 | 2460 |
| Final | 70 | 60 | 4200 |
| Total | 100 | 7610 |
Weighted average: 7610 ÷ 100 = 76.1. The plain average of 95, 82 and 70 is 82.3 — over six points higher, because it lets the easy quiz count as much as the decisive final.
Tests out of different totals
Sometimes the issue isn't stated weights but raw point totals — a test out of 40, another out of 120. If those totals are meant to reflect importance, the fairest move is to add up points earned and points possible and divide:
Scoring 34/40 and 90/120 gives (34 + 90) ÷ (40 + 120) × 100 = 124 ÷ 160 × 100 = 77.5%. Here the points-possible totals act as the weights, so the 120-point test naturally counts three times as much as the 40-point one.
When totals shouldn't be the weights
Be careful: if a 40-point quiz and a 120-point exam are each meant to count for half the grade, you must not let the point totals weight them. Convert each to a percentage first (34/40 = 85%, 90/120 = 75%) and then apply equal weights, giving 80%. Decide whether the point totals represent importance or just length — that single judgement call changes the answer, and the calculator lets you enter whichever weights truly apply.
Quick checklist
- Stated weights? Use them directly as each test's weight.
- Different totals that mean importance? Sum points earned over points possible.
- Different totals but equal importance? Convert to percentages, then weight equally.
- Mixed scales? Put everything on one scale before averaging.
Frequently asked questions
How do I average tests that count differently?
Give each test the weight that reflects its share of the grade, multiply each score by its weight, add the products, and divide by the total weight.
How do I average tests out of different totals?
If the totals reflect importance, add up points earned and points possible and divide. If they don't, convert each test to a percentage first and weight those.
Why is my equal average higher than the weighted one?
Because the equal average lets easy, low-weight tests count as much as a heavy final. Weighting gives the decisive tests their proper influence.
Should a longer test always count more?
Not necessarily — only if your course says so. Length and importance are different things, so check the syllabus before letting point totals act as weights.