📊 For Teachers & Students

Grade Curve Calculator

Apply bell curve, square root, linear boost, or flat bump methods to your class scores. See original vs. curved grades side-by-side with letter grade changes.

What Is Grading on a Curve?

Grading on a curve is a common practice where teachers adjust test scores so that the class grade distribution better reflects student understanding, especially when an exam was harder than intended. This calculator supports four popular curving methods used by instructors across colleges and high schools.

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Flat Boost

Adds a fixed number of bonus points to every student's score. The simplest and most transparent method. If the highest score was 92%, adding 8 points makes it 100% and lifts everyone equally.

√

Square Root Curve

Formula: √(raw score) × 10. This method gives more benefit to lower scores than higher ones. A 49% becomes 70%, while a 81% only becomes 90%. Widely used in college STEM courses.

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Linear Scale (Best→100)

Scales all scores so the highest score in the class becomes 100%. Formula: (raw / highest) × 100. Maintains relative performance differences between students.

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Target Average

Adjusts all scores by the exact amount needed to shift the class average to a desired target (e.g., 80%). The boost = target average − current average.

Grade Curve FAQ

Grading on a curve means adjusting student scores so that the class average or grade distribution meets a desired target. Common methods include adding flat bonus points, using a square root formula (√raw × 10), boosting so the highest score becomes 100%, or fitting scores to a statistical bell curve (normal distribution).
The square root curve formula is: Curved Score = √(Raw Score) × 10. For example, a raw score of 64% becomes √64 × 10 = 80%. This method benefits lower scores more than higher scores, compressing the range toward the top. It's commonly used in STEM courses at universities.
A flat boost adds the same number of points to every student's score. For example, if the highest score was 92% and you want it to be 100%, you add 8 points to every score. A student with 70% would get 78%. This is the simplest and most common curving method, and is easy for students to understand.
Curving can be fair when an exam was unusually difficult and doesn't reflect students' actual understanding. However, it can be controversial if it consistently rewards students who didn't prepare. The best approach depends on the class score distribution and the reason the average was lower than expected.
With the methods on this page (flat boost, square root, linear scale, and target average), a curve will never lower your grade — it can only raise scores or keep them the same (capped at 100%). Some professors use a strict bell curve that forces a percentage of students into each letter grade, which theoretically could lower top scores. That method is less common today.

Related Grade Tools

Need to calculate individual or class grades? Use our other free calculators:

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