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Class Rank and Percentile Calculator

Your percentile in a set of scores. A percentile is the share of people you beat, not the percentage you scored, and the two are constantly confused.

Also called: percentile rank calculator, class rank.

Separate values with commas or spaces.

Your percentile
70.83%

You are at the 70.83%th percentile: 8 of 12 scored below you. Your rank is 4 and the class median is 71. A percentile is the share of the group you beat, not the mark you scored.

Rank
4
Scored below you
8
Total scores
12
Class median
71
Class mean
69.92
On what a percentile means
A percentile is the share of the group you beat, not the mark you scored.
How this is calculated
Method and background

How this is calculated

Count how many scored below you, add half of those who tied, and divide by the total. That mid-rank treatment of ties is the standard convention and stops identical scores getting different percentiles. The distinction worth stating is that a 90th percentile is not a score of 90: it means you did better than ninety percent of the group, which on a hard paper might be a raw mark of sixty.

percentile = (those below, plus half of those equal) over the total
b
Scores below yours
e
Scores equal to yours
n
Total scores

Worked examples

Each of these is asserted on every build. If a change to the engine ever moved one of these answers, the build would fail before the page could print it.

a score in a class of twelve

Your score
78
All scores
45, 52, 60, 63, 68, 70, 72, 75, 78, 81, 85, 90

Your percentile70.83%

(8 + 0.5) / 12, with one tie at 78

Open this example

the top score

Your score
90
All scores
45, 52, 60, 63, 68, 70, 72, 75, 78, 81, 85, 90

Your percentile95.83%

boundary

Open this example

Method and limits

What it assumes

  • The list includes your own score.

What it deliberately does not model

  • Percentiles describe this group only. The same score in a different cohort is a different percentile.
  • Several percentile definitions exist and differ slightly at the extremes.

Formula version 1.0.0 · definition 1.0.0 · India · Report a problem with this calculator

Frequently asked questions

Is the 90th percentile a score of 90?
No. It means you beat ninety percent of the group. On a difficult exam that could be a raw mark of sixty, and on an easy one a mark of ninety could be the fiftieth percentile.