Percentile Calculator
Calculate percentile using your data.
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What this tool does
Calculate percentile using your data. Percentile rank counts ties as half below (the common textbook convention). The value-at-percentile uses linear interpolation, so it need not be an observed value.
How to use the Percentile Calculator
- Enter or select numbers (comma or whitespace separated).
- Enter or select value to rank.
- Enter or select percentile to find a value for (%).
- Read the calculated result; change any measurement to compare alternatives.
Formula
percentile rank of a value = 100 × (count below + ½ × count equal) / n; value at percentile p by linear interpolation on the sorted data
- data
- Numbers (comma or whitespace separated)
- value
- Value to rank
- target
- Percentile to find a value for (%)
Percentile rank counts ties as half below (the common textbook convention). The value-at-percentile uses linear interpolation, so it need not be an observed value.
Worked example
For percentile calculator, the following measurements illustrate the exact method: Numbers (comma or whitespace separated): 2,4,4,4,5,5,7,9; Value to rank: 7; Percentile to find a value for (%): 75.
Inputs
- Numbers (comma or whitespace separated)2,4,4,4,5,5,7,9
- Value to rank7
- Percentile to find a value for (%)75
Result
- Percentile rank of the value (%)81.25
- Value at the 75th percentile5.5
- Values below6
- Count8
Results explained
- Percentile rank of the value (%)
- Percentile rank of the value (%) from the formula above. Percentile rank counts ties as half below (the common textbook convention). The value-at-percentile uses linear interpolation, so it need not be an observed value.
- Value at the 75th percentile
- Value at the 75th percentile from the formula above. Percentile rank counts ties as half below (the common textbook convention). The value-at-percentile uses linear interpolation, so it need not be an observed value.
- Values below
- Values below from the formula above. Percentile rank counts ties as half below (the common textbook convention). The value-at-percentile uses linear interpolation, so it need not be an observed value.
- Count
- Count from the formula above. Percentile rank counts ties as half below (the common textbook convention). The value-at-percentile uses linear interpolation, so it need not be an observed value.
Frequently asked questions
percentile rank of a value = 100 × (count below + ½ × count equal) / n; value at percentile p by linear interpolation on the sorted data
Percentile rank counts ties as half below (the common textbook convention). The value-at-percentile uses linear interpolation, so it need not be an observed value.
Enter numbers only, in the units and format each label describes. Remove missing values rather than substituting zero, unless zero is a real observation.
No. Results describe the numbers you entered. Statistical inference also depends on sampling design, independence, model fit and interpretation; a p-value is not the probability that a hypothesis is true.
No. Every calculation, including the distribution algorithms, runs entirely in your browser.