By Debmedia Technologies LLP · Kolkata, India · Updated
What Is It and When Do You Need It?
Percentiles show where a value stands in a group. Test scores, growth charts, salaries and response times are all reported in percentiles.
Paste your data and choose whether to find a value or a rank.
How to Use This Tool
- Paste your numbers.
- Choose value-at-percentile or percentile-rank.
- Enter the percentile or the value.
- Press Calculate.
How the Calculation Works
For the value at percentile p, the data is sorted and the position is p ÷ 100 × (n − 1). The value is interpolated between the two nearest ranks. The percentile rank of x is (count below x + 0.5 × count equal to x) ÷ n × 100. Quartiles are the 25th, 50th and 75th percentiles.
Worked Example
For the numbers 1 to 10, the 90th percentile is 9.1, and the percentile rank of 7 is 65.
Common Uses
- Test scores and grades.
- Performance and speed reports.
- Salary comparisons.
- Data analysis.
Tips and Common Mistakes
- More data gives more stable percentiles.
- The median is the 50th percentile.
- Quartiles split the data into four groups.
- When you compare results from different software, check which percentile method each uses, because small data sets can give slightly different answers with different methods.
- A percentile rank describes position in your own list, not in the whole population, so a small or unusual list can mislead.
Related Tools
Next, you may need the average calculator, standard deviation calculator, z-score calculator, confidence interval calculator.
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Frequently Asked Questions
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