Percentile Calculator
Enter a dataset to explore percentile values, ranks, and descriptive statistics using linear interpolation.
75.0th percentile
27.7500
Uses linear interpolation between neighboring values.
Percentile rank for value 25.00
62.50%
Percentage of values less than or equal to the target.
Dataset Summary
Count
8
Minimum
12.00
Maximum
33.00
Median
22.50
Lower quartile (Q1)
17.25
Upper quartile (Q3)
27.75
Interquartile range (IQR)
10.50
How to Use This Calculator
- Enter your dataset using spaces or commas to separate numbers.
- Choose a percentile to find the corresponding value via interpolation.
- Optionally enter a value to see its percentile rank within the dataset.
- Review the summary statistics to understand the dataset distribution.
Formulas
Position p = (n - 1) × (percentile / 100)
Percentile value = linear interpolation between values surrounding position p
Percentile rank for a value = percentage of observations less than or equal to the value
This approach matches common statistical packages and spreadsheet implementations of percentile calculations.
Frequently Asked Questions
Can I use percentiles on small datasets?
Yes. However, with few values the percentile results may coincide because the interpolation range is limited.
Why does this calculator use interpolation?
Interpolation provides smooth transitions between data points and avoids abrupt percentile jumps, especially for small datasets.
Is percentile the same as percentile rank?
No. Percentiles map a percentile position to a data value, while percentile ranks map a data value to its percentile position.
How can percentiles help detect outliers?
Extreme percentiles (such as the 1st or 99th) provide thresholds to flag unusually low or high values within a dataset.