Percentile Rank Calculator

Find the percentile rank of a value in your data, or find the value that sits at a chosen percentile.

Your data

30 values read.

Value to look up

Percentile rank

53.3th percentile

Values below 75: 15

Values equal to 75: 2

Values above 75: 13

Percentile rank = (below + 0.5 × equal) ÷ n × 100 = (15 + 0.5 × 2) ÷ 30 × 100 = 53.33

Different textbooks and programs use slightly different percentile conventions, especially for ties and small data sets, so a result can differ by a little between sources.

How to use this tool

Paste your data, separated by commas, spaces, or new lines.
To find a percentile rank, enter the value you want to look up. The calculator counts values below and equal to it.
To find a value at a percentile, switch modes and enter a percentile such as 90.
Read the result and the working underneath.

Formula Reference

Percentile rank

(below + 0.5 × equal) ÷ n × 100

Nearest-rank position

rank = ⌈ P ÷ 100 × n ⌉

Interpolated position

P ÷ 100 × (n − 1) + 1

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Frequently Asked Questions

What does the 80th percentile mean?+

It means about 80% of the values in the data are at or below that value. A student at the 80th percentile scored at least as well as roughly 80% of the group.

How are ties handled?+

This calculator counts half of the tied values as below, the midpoint convention: (below + 0.5 × equal) ÷ n × 100. Other sources count only values strictly below, or all values at or below, so small differences are normal.

Why are there two answers when I look up a value at a percentile?+

Different conventions exist. The nearest-rank method returns an actual data value. Linear interpolation, used by Excel's PERCENTILE.INC, can return a value between two data points. For large data sets they agree closely.

Is percentile rank the same as percentage correct?+

No. A percentage correct describes your own score out of the maximum. A percentile rank describes how your score compares with everyone else's.