🏅 Percentile Rank Calculator
Find the percentage of observations below or at a selected value and understand its standing within a dataset.
📊 Statistics📐 Formula included🧠 Practice questions✓ Free
Please enter valid values.
Formula and Explanation
Find the percentage of observations below or at a selected value and understand its standing within a dataset.
| Concept | Formula or rule |
|---|---|
| Percentile Rank Calculator | Percentile rank = 100 × (L + 0.5E) / N |
How to Use This Calculator
- Enter the sample, counts, probabilities, or summary statistics requested above.
- Keep paired lists in the same order and separate values with commas.
- Select the correct test direction or sample/population option when available.
- Press Calculate and interpret the result together with the supporting statistics.
Worked Example
Example: In 50, 60, 70, 70, 80, the value 70 has two values below and two equal.
✓ Percentile rank = 100 × (2 + 0.5×2) ÷ 5 = 60
Where This Is Used
School & coursework
Check homework, understand formulas, and verify step-by-step statistics exercises.
Research
Explore estimates, uncertainty, distributions, and relationships before using full statistical software.
Business & data analysis
Summarize variation, compare groups, and communicate data-driven findings clearly.
Common Mistakes to Avoid
⚠️
Confusing percentile with percentage
A percentile rank compares a value with a distribution.
A percentile rank compares a value with a distribution.
⚠️
Ignoring ties
This calculator gives tied observations half weight.
This calculator gives tied observations half weight.
⚠️
Using unsorted data manually
The calculator sorts and counts values automatically.
The calculator sorts and counts values automatically.
Practice Questions
1. In 1,2,3,4,5, what is the percentile rank of 3 using the half-tie rule?
Answer: 50
2. Which is higher: 80th or 60th percentile?
Answer: 80th.
3. Does percentile rank depend on units?
Answer: No.
Frequently Asked Questions
What does the 90th percentile mean?▾
The value is at or above roughly 90% of the observations.
Can percentile rank be 100?▾
Yes for a unique maximum under some definitions, though conventions vary.
Why do percentile formulas differ?▾
Different institutions use different tie and interpolation rules.