Percentile Calculator
Find the value at the kth percentile in a dataset (linear interpolation).
Result
75th percentile
41.5000
75% of values are at or below 41.5000.
- n10
- Sorted12, 18, 22, 25, 30, 35, 40, 42, 45, 50
- Rank(75/100) Ć (nā1)6.750
- MethodLinear interpolation (NIST)
Step-by-step
- Sort the data ascending.
- Compute rank = (75/100) Ć (10 ā 1) = 6.750.
- Interpolate between sorted[6] = 40 and sorted[7] = 42: 41.5000.
How to use this calculator
- Enter your data.
- Choose a percentile (0-100).
- Read the percentile value.
About this calculator
A percentile tells you where a value sits in a distribution ā the 75th percentile is the value below which 75% of the data falls. There are several percentile algorithms; this calculator uses NIST linear interpolation, the same method R's default and most stats textbooks use.
Frequently asked
Quartiles are special percentiles: Q1 = 25th, Q2 = 50th (median), Q3 = 75th. The math is the same.
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