Percentile

Find the value at the kth percentile, or the percentile rank of a value.

Inputs

Find

Paste or type numbers separated by commas, spaces, or new lines. A column copied from Excel or Google Sheets works too.

Results update as you type.

Results

P30 = 72

About 30% of the data values are below 72.

Results

c = n · k ÷ 1006
Position(s) used6 and 7
P3072
Show steps
  1. Order the data. 52, 61, 64, 67, 70, 71, 73, 74, 75, 76, 78, 79, 80, 82, 84, 85, 88, 90, 93, 97
  2. Locator. c = (n · k) ÷ 100 = (20 · 30) ÷ 100 = 6.
  3. c is a whole number, so average the values in positions 6 and 7: (71 + 73) ÷ 2 = 72.

About this calculator

What a percentile means

The kth percentile is a value with about k% of the data below it. Scoring at the 85th percentile means you did better than about 85% of the people in the group. It does not mean you got 85% of the questions right.

The method used here

To find the value at the kth percentile, put the data in order and compute c = n·k ÷ 100. If c is not a whole number, round up and use the value in that position. If c is a whole number, average the values in positions c and c + 1. The percentile rank of a value is (number of values below it ÷ n) × 100.

Textbooks and software use several slightly different percentile rules, so small differences from other tools are normal.