ClarityHow to use this tool
- Enter observations separated by commas or spaces.
- Enter the value whose rank you want to measure. It does not have to occur in the data.
- Calculate the inclusive percentage at or below that value and inspect how ties are counted.
Input reference and sample values
Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.
| Input | Format and units | Sample |
|---|---|---|
| Numbers | Keep the structure and separators shown in the sample. Line breaks are retained in this input. | 10,20,20,40 |
| Value to rank | Numeric value. | 20 |
Result for these sample inputs
75 %
- Below selected value
- 1
- Equal to selected value
- 2
- Above selected value
- 1
- Total observations
- 4
Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.
The method, explained
Percentile rank = count(xi ≤ selected value)/n × 100%.
For 10, 20, 20, 40, the value 20 has one observation below it and two equal to it. Inclusive rank is 3/4 × 100 = 75%.
What to keep in mind
Uses the inclusive empirical rank; other tie conventions produce different answers. A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.
Common questions
Why does another calculator give 50% for this example?
Some use a midrank rule: below plus half the tied observations. This tool uses the explicitly stated inclusive rule.
Can the rank be zero?
Yes, when every observation is greater than the chosen value.
Methodology maintained by ClarityKit. How these tools are built and checked.