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Grade curve calculator

Curve a set of test scores: flat points, highest score to 100, square root, or a target class average.

Short answer Paste your class's scores and pick a method: a flat bonus, highest score to 100, the square root curve (10 x the square root of each score) or a target class average. The calculator shows every curved score, its letter grade and the new class average.

Scores out of 100Separate them with commas, spaces or new lines
Curve method
Cap at 100
Letter grade scale

Lowest percentage for each letter. Below D is an F. Saved in this browser for every calculator on the site.

Schools set their own scales. Compare common scales.

The four methods

MethodHow it worksEffect
Highest score to 100Add (100 − top score) to every scoreSame bump for everyone, set by the top score
Add pointsAdd the same number of points to every scoreSimple and predictable
Square rootNew score = 10 × √scoreLow scores rise most; 100 stays 100
Target averageAdd (target − current average) to every scoreClass average lands where you want it

Worked example

The example class's top score is 90, so "highest score to 100" adds 10 points to everyone: 55 becomes 65 and 90 becomes 100. With the square root curve instead, 55 becomes 74.2 and 90 becomes 94.9. The average of the ten example scores is 72.1%.

Common questions

What are the common ways to curve grades?
Adding the same points to everyone (a flat curve), raising the highest score to 100 and adding that difference to all, the square root curve (10 times the square root of the score), and shifting scores so the class average lands on a target.
How does the square root curve work?
Each score becomes 10 times its square root. 64 becomes 80, 81 becomes 90 and 100 stays 100. Low scores rise the most, and nobody goes over 100.
Is it fair to curve by the highest score?
It depends on one student. If the top score is an outlier, everyone gets only a small bump. Many teachers use the second-highest score or a target average instead.
Should curved scores go over 100?
That's the teacher's call. Turn on the cap to stop any curved score going above 100.

Check your syllabus. This calculator uses the numbers you enter. Your teacher's gradebook, weights, rounding rules and grading scale decide your official grade, and they can differ from the common scales used here.