Percentile Calculator
Find what percentile a score falls at within a dataset — or what value sits at a given percentile. Used for exam ranks, growth charts, salaries and any "how do I compare?" question.
How to use this calculator
- Paste the dataset — everyone's scores, salaries, times, etc.
- Choose whether to find a score's percentile rank or the value at a percentile.
- Enter the score (or the percentile 0–100) and press Calculate.
Formula used
This midpoint convention handles ties gracefully. For value-at-percentile, the calculator linearly interpolates between sorted values — one of several accepted definitions (software packages differ slightly on small datasets).
Example calculation
In the 12-score dataset above, a score of 81 has 7 values below and 1 equal: (7 + 0.5) ÷ 12 × 100 = 62.5th percentile — better than about 62% of the group.
Percentile ≠ percentage
A percentage measures your performance against the maximum; a percentile measures it against other people. Scoring 60% on a brutal exam can put you in the 95th percentile, while 90% on an easy one might be merely average. Competitive exams report percentiles precisely because they rank, independent of paper difficulty.
Percentiles also carry no spacing information — the gap between P90 and P99 can be enormous in skewed data like salaries. That's why quartiles (P25, P50, P75) are shown too: together they sketch the distribution's shape.
Why use this calculator?
- Rank a score within any group — class results, race times, salaries.
- Convert between score and percentile in both directions.
- Get median and quartiles free, sketching the whole distribution.
Frequently asked questions
What does 90th percentile mean?
You scored at or above about 90% of the group — only ~10% did better. It says nothing about your raw percentage score; on a hard exam the 90th percentile might be 55 marks.
Can I be in the 100th percentile?
Under the common definition, no — even the top score has itself counted half among equals, capping just below 100. Reports usually state 99th (or 99.9th) percentile for top performers.
Why do different tools give slightly different percentiles?
There are several accepted interpolation conventions (exclusive, inclusive, nearest-rank). They agree on large datasets and differ slightly on small ones. This tool uses the midpoint rule for ranks and linear interpolation for values — the most common classroom conventions.