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LunaCalc

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Grade Curve Calculator

Rescale a set of grades with linear, ratio, bell-curve, or square-root curves.

Calculator

About this calculator

This grade curve calculator rescales a set of grades using linear adjustment, proportional scaling, a bell curve, or square-root curving.

Formula notes

Linear adds a constant or maps the highest score to a target; ratios multiply by H/max; the bell curve uses new = μ + zσ with the population standard deviation; square-root curving uses sqrt(x) × k.

Worked examples

  1. Example: grades of 80, 70, and 90 with the highest grade raised to 100 become 90, 80, and 100.
  2. Grades of 80, 70, and 90 rescaled to a 100-point maximum become 90, 80, and 100.

How to use it

  1. Enter the original grades.
  2. Choose the curving method and its parameters.
  3. Read each rescaled grade and compare with the original distribution.

Frequently asked questions

Which curving method should I choose?

Use the one that matches your course policy: fixed points shift everyone equally, proportional scaling preserves ranking, and the bell curve targets a chosen mean and spread.

Can results exceed 100%?

The calculator follows the chosen method exactly; check the rescaled values before publishing them as final grades.

Limits and interpretation

  • Curved results depend entirely on the chosen method and parameters; different methods give different rankings for the same input.
  • A curved grade is a classroom adjustment and may not follow a school's official grading policy or transcript rules.