Curving lifts scores when a test runs hard. Two common methods: add a flat number of points (capped at 100), or scale everyone so the top score becomes 100. Both are one short formula.
The example
Add 7, capped at 100.
| A | B | |
|---|---|---|
| 1 | Raw | Curved |
| 2 | 85 | 92 |
| 3 | 96 | 100 |
The formula
The formula:
How it works
How it works:
- Flat curve:
MIN(score + points, 100)adds a fixed boost without exceeding 100. - Top-score scale:
score / MAX(scores) * 100stretches the highest score to 100. - Square-root curve:
SQRT(score) * 10lifts low scores more than high ones. - Pick the method your grading policy allows, and apply it consistently to the whole class.
Each curve has a personality. A flat add shifts everyone equally; top-score scaling rewards relative standing; a square-root curve compresses the bottom upward (a 49 becomes 70, a 100 stays 100). Show students which method you used — the same raw score yields very different curved grades.
Try it: interactive demo
Raw score and flat curve points.
Variations
Scale to top score
Top = 100:
Square-root curve
Lift the bottom:
Bell to a target mean
Shift the average:
Pitfalls & errors
Cap at 100. Use MIN so a flat curve doesn’t push scores over 100.
Apply uniformly. Curve the whole class with the same method for fairness.
Lock the MAX/AVERAGE. Use absolute references so every row scales against the same statistic.
Practice workbook
Frequently asked questions
How do I curve a grade in Excel?
What is a square-root curve?
How do I curve to a target average?
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