Statistics

Percentile Calculator

Find the value at a given percentile of a data set.

Percentile (%)

Value 1

Value 2

Value 3

Value 4

Value 5

Value 6

Calculated Output

Percentile value 21

Formula: Linear interpolation on the sorted data

Step-by-Step Breakdown

1. Values used:

2. Percentile = 75 %

3. Value 1 = 12

4. Value 2 = 5

5. Value 3 = 22

6. Value 4 = 18

7. Value 5 = 9

8. Value 6 = 30

10. Percentile value = 21

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The math behind it

Sort the data and interpolate at the position p/100 × (n − 1).

75th percentile of 5, 9, 12, 18, 22, 30 → about 21.

Percentile vs percentile rank?

Percentile gives the value at a rank; percentile rank gives the rank of a value.