Grade Curve Calculator: Curve Your Scores Four Ways

This free grade curve calculator curves a list of test scores by adding points, setting the top score to 100%, taking the square root, or stretching the scores between a new lowest and highest value. You see every score before and after, the class average, and how many students move up a grade.

Note: the calculator has not started. If this message stays, JavaScript is switched off in your browser, or this website is blocking the calculator’s script. Site owners: see the install guide, “calculator does not respond”.

Your scores

Type the scores separated by commas, spaces or new lines, up to 200. Plain numbers are percentages unless you fill in the points possible below.
Fill this in if your scores are points, such as 41 out of 50.
Added to every score. If you entered points possible, these are points. Otherwise they are percentage points.
These are example scales, not universal standards. Schools and teachers set their own cutoffs. Choose Custom to enter yours.
Settings and custom scale

The shortcut works when keyboard focus is inside the calculator and not in a text field. The Reset button does the same thing.

This calculator runs in your browser and does not send your numbers anywhere. Only your scale settings are saved on this device. Your grades are not.

Curved results

Enter your scores to see them curved.

Grade curve calculator: the quick answer

To curve a grade, change every score by one rule so the class does better, then regrade. Adding 5 points to the scores 52, 61, 68, 74, 79, 85 and 91 lifts the class average from 72.86% to 77.86%. Setting the top score to 100%, which multiplies every score by 100 ÷ 91, lifts it to 80.06%. A square root curve lifts it to 85.02%. The grade curve calculator above applies any of these to your own scores and shows each score before and after.

Grade curve calculator example: seven scores from 52 to 91 have a class average of 72.86%, which becomes 77.86% with 5 points added, 80.06% with the top score set to 100%, 81.39% when stretched to 60-100, and 85.02% with a square root curve
Grade curve calculator example: the class average after each curve method.

How to use the grade curve calculator

  1. Type or paste the scores in the box. Add the points possible if they are points, not percentages.
  2. Choose a curve method and fill in its number, such as the points to add.
  3. Leave the cap on if no curved score may go above 100%.
  4. Read the class average before and after, and how many scores move up a grade.
  5. Check the table of every score to see exactly who is affected, then compare other methods.

Which curve method to use in the grade curve calculator

Add points raises every score by the same amount, so the gaps between students stay the same. It helps a low score as much as a high one, and the cap stops anyone passing 100%. Top score to 100% multiplies every score by the same factor, so higher scores gain more points than lower ones. It rewards the class when one question was too hard. Square root turns 100 into 100 and 64 into 80. It lifts low scores the most and leaves the top alone. Stretch gives a new lowest and highest score and spreads the rest evenly between them, so it can lift the bottom and the top by different amounts.

What the grade curve calculator does not do

This grade curve calculator changes scores by a fixed rule. It does not force a set share of students into each grade, which some teachers call a bell curve, and it does not decide whether a curve is fair. Whether to curve, and how, is the teacher’s choice. Check your course policy before you plan on one. A curve can also move a score down, for example when a stretch lowers the top score, and the calculator flags that when it happens.

Grade curve calculator formulas and a worked example

Add points: New = Score + Points Top score to 100: New = Score × 100 ÷ Highest score Square root: New = 10 × √Score Stretch: New = Low + (Score − Lowest) × (High − Low) ÷ (Highest − Lowest)

For the stretch, Low and High are the new lowest and highest scores you choose. Letters are decided on the exact value, not a rounded one. The full rules are on the grading methodology page.

Seven scores curved four ways
OriginalAdd 5Top to 100%Square rootStretch to 60-100
52 (F)57 (F)57.14 (F)72.11 (C)60 (D)
61 (D)66 (D)67.03 (D)78.1 (C)69.23 (D)
68 (D)73 (C)74.73 (C)82.46 (B)76.41 (C)
74 (C)79 (C)81.32 (B)86.02 (B)82.56 (B)
79 (C)84 (B)86.81 (B)88.88 (B)87.69 (B)
85 (B)90 (A)93.41 (A)92.2 (A)93.85 (A)
91 (A)96 (A)100 (A)95.39 (A)100 (A)
Class average77.86%80.06%85.02%81.39%

Grades use the standard scale. For the top score method, 68 × 100 ÷ 91 = 74.73, which is a C. For the square root, 10 × √68 = 82.46, a B. For the stretch, 60 + (74 − 52) × 40 ÷ 39 = 82.56.

Choosing a grading scale

The standard and plus/minus scales are examples, not rules. If your school uses different cutoffs, choose Custom and enter them, or build and print a chart with the grading scale calculator.

Sources and further reading

Whether and how to curve is set by the teacher and the school, so follow your own grading policy. For background, see Norm-referenced test and Academic grading in the United States on Wikipedia.

Related tools

Grade curve calculator questions

Is this grade curve calculator free and private?

Yes. It is free, needs no sign-up, and runs in your browser. Your scores are not sent anywhere or saved.

What does it mean to curve a grade?

It means adjusting every score by one rule, such as adding points or scaling to the top score, so the results are higher or more spread out. It is a teacher’s decision, not an automatic right.

How do I curve grades by adding points?

Choose “Add points to every score” and enter the number. If your scores are points out of 50, fill in the points possible, and the points you add are points out of 50.

How do I make the highest score 100%?

Choose “Scale so the top score becomes 100%”. Every score is multiplied by 100 and divided by the highest score, so a top score of 91 becomes 100 and 68 becomes 74.73.

What is a square root curve?

The new percentage is 10 times the square root of the old one. A 64 becomes 80 and a 36 becomes 60. It lifts low scores the most and leaves 100 at 100.

Can a curve lower a grade?

A stretch can, if your new lowest and highest scores are below the old ones. The calculator marks any score that moves down and tells you how many.

Why cap the scores at 100%?

Most courses do not allow more than 100%. The cap is on by default and the page says how many scores it changed. Untick it to see the raw curve.

Does it make a bell curve?

No. It applies a fixed rule to each score. It does not force a set number of students into each grade.

Is this grade curve calculator result what my school will record?

It is a quick, transparent calculation. Your teacher or school sets the official grades. See the disclaimer.