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Percentile Calculator

Find the percentile of a score in a data set, or the value at a given percentile.

Change the values and press Calculate to work out your own figures.

Percentile of a score

Enter the data and a score to find what percentile the score is at.

About numbersValues separated by commas, spaces or new lines, for example 10, 2, 38, 23.
About scoreThe value whose percentile you want.
Result
Percentile of the score
70th
Values at or below the score
7 of 10
Values below the score
6

7 is at the 70th percentile: 7 of 10 values are at or below it.

Show the working
  1. Count the values at or below 7: 7
  2. Percentile = 7 ÷ 10 × 100 = 70

Value at a percentile

Enter the data and a percentile to find the value at that percentile.

About numbersValues separated by commas, spaces or new lines, for example 10, 2, 38, 23.
About percentileA percentile from 0 to 100.
Result
Value at the 25th percentile
3.25
Rank in the sorted data
3.25
Count
10

The 25th percentile is 3.25.

Other percentiles
PercentileValue
5th1.45
10th1.9
25th3.25
50th5.5
75th7.75
90th9.1
95th9.55
Show the working
  1. Sort: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
  2. Rank = p ÷ 100 × (N − 1) + 1 = 3.25
  3. Interpolate between the values at the ranks either side: 3.25

How to use it

Enter the data and a score to find what percentile the score is at. Enter the data and a percentile to find the value at that percentile.

Paste or type the numbers separated by commas, spaces or new lines. Results are worked out exactly and shown to 12 significant figures; Show the working lists each step.

Key facts

rank = p ÷ 100 × (N − 1) + 1

Percentile or percentage?

A percentage is a score out of 100; a percentile says what share of the data is at or below a value. Scoring 70% on a test and being at the 70th percentile are different things.

Questions

What does the 90th percentile mean?

90% of the values are at or below it.

Why do calculators give different percentiles?

There are several definitions; this one matches Excel's PERCENTILE.INC.

Formulas

rank = p ÷ 100 × (N − 1) + 1

Sources

Limitations

  • Up to 5,000 values. Values are separated by commas, spaces or new lines, so write 1250 rather than 1,250.

Formula version 0.1.0Reviewed