Curve Grade Calculator Formula

Understand the math behind the curve grade calculator. Each variable explained with a worked example.

Formulas Used

Flat Curve Result

flat_result = flat_curved > 100 ? 100 : flat_curved

Square Root Curve Result

sqrt_result = sqrt_curved

Highest=100 Curve Result

highest_result = highest_curved

Variables

VariableDescriptionDefault
raw_scoreYour Raw Score(%)68
curve_pointsPoints to Add (Flat Curve)10
highest_scoreHighest Score in Class(%)92
flat_curvedDerived value= raw_score + curve_pointscalculated
sqrt_curvedDerived value= sqrt(raw_score / 100) * 100calculated
highest_curvedDerived value= raw_score + (100 - highest_score)calculated

How It Works

How Grade Curves Work

Flat Curve

Add a fixed number of points: Curved = Raw + Points

Square Root Curve

Curved = sqrt(Raw / 100) x 100 Benefits lower scores more than higher scores.

Highest Score = 100

Curved = Raw + (100 - Highest Score) Everyone gets the same boost.

Worked Example

Raw score of 68%, flat curve of 10, class high of 92%.

raw_score = 68curve_points = 10highest_score = 92
  1. 01Flat curve: 68 + 10 = 78%
  2. 02Square root: sqrt(0.68) x 100 = 82.5%
  3. 03Highest=100: 68 + (100 - 92) = 76%

Ready to run the numbers?

Open Curve Grade Calculator