When to use this calculator
Find the percentage of supplied observations strictly below a chosen value. Uses the strict-below convention; ties are not counted as below and other rank conventions differ.
Explore the descriptive statistics calculators for other questions in this topic. For a related calculation, use the Pooled Standard Deviation Calculator: Combine two sample deviations under a common-variance assumption.
PUTTING IT INTO PRACTICE
Percentile Rank: a worked example
The values below are an illustrative example, not a recommendation. Replace them with measurements or assumptions that match your question.
| Input | Example value |
|---|---|
| Data values | 1,2,3,4,5 |
| Value to rank | 3 |
| Result | 40 % |
- Check the input labels and enter the example values above.
- Apply the relationship: Percentile rank = count(values below target)/count(all values) × 100..
- The result is 40 %, rounded for display.
How to interpret your result
Uses the strict-below convention; ties are not counted as below and other rank conventions differ.
The mean, median, range and standard-deviation tools accept variable-length lists with their limits stated. Choose a sample or population denominator appropriately. A summary statistic does not validate the sampling process or explain causation.
Frequently asked questions
Should I use sample or population standard deviation?
Use population deviation for the complete population being described. Use the sample form when estimating variability from a sample under suitable assumptions.
When is the percentile rank calculator useful?
Find the percentage of supplied observations strictly below a chosen value. Uses the strict-below convention; ties are not counted as below and other rank conventions differ.
How do I use the percentile rank calculator?
Enter data values, value to rank. The result updates automatically. Use the units shown beside each input; the example values illustrate the method.
Which formula does this calculator use?
Percentile rank = count(values below target)/count(all values) × 100..
What should I check before using the result?
Uses the strict-below convention; ties are not counted as below and other rank conventions differ.
How are results rounded?
Scalar numbers display up to six decimal places, with scientific notation for very large or small values. Text, fraction, date and schedule outputs use the format described on the tool. Intermediate calculations use JavaScript floating-point arithmetic. Keep sensible precision for your measurements.
Further reading
For background on this topic, see NIST: exploratory data analysis ↗. This is a topic reference, not an external review or endorsement of this tool.
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