Statistics & Probability
Basic

Percentile Rank

Percentage of values below a given score.

Formula

PR=belown×100PR = \frac{\text{below}}{n}\times 100

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Members

Variables

belowCount below
nTotal

Example

80th percentile beats 80%

How it works

Percentile rank tells you how a score compares with a group by measuring the share of values that fall below it. If 18 out of 25 scores are lower than a student’s score, then 18/25 of the group is below that score, and multiplying by 100 turns that fraction into a percentage. This works because percentile rank is just a relative position in a data set expressed as a percent.

When to use it

Use this when you want to describe how a test score, height, weight, or other measurement compares to a collection of results. It is especially useful in exams, psychology, health data, and any ranking situation where you want to know what percent of the group a value outperforms.

Worked example, step by step

A class has 40 quiz scores, and Maria’s score is higher than 31 of them. PR = (below / n) × 100 PR = (31 / 40) × 100 PR = 0.775 × 100 PR = 77.5 Maria’s percentile rank is 77.5%, meaning her score is higher than 77.5% of the class.

Common mistakes to avoid

  • Using the number of scores equal to the value instead of only the scores below it
  • Forgetting to divide by the total number of values before multiplying by 100
  • Confusing percentile rank with the actual score percentile label, which may be rounded or estimated differently

Did You Know?

Percentile rank is why a "90th-percentile" test score means you beat 90% of takers, not that you scored 90%.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026