Percentile Calculator
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What is Percentile Calculator?
A percentile calculator determines the relative position of a value within a dataset or finds the value at a specific percentile. Percentiles are widely used in statistics, standardized testing, and data analysis to understand data distribution.
Formulas:
Percentile Rank = ((Values Below + 0.5 × Equal Values) / Total Values) × 100
Value at Percentile = Linear interpolation between sorted data points
How It Works
Enter Dataset
Input your data values and choose calculation type
Sort & Calculate
Data is sorted and percentile formulas applied
Get Results
View percentile rank or value with detailed breakdown
Common Examples
Test Scores
Income Distribution
Height Measurements
Calculation Table
| Dataset | Value/Percentile | Calculation Type | Result |
|---|---|---|---|
| 10, 20, 30, 40, 50 | 30 | Percentile Rank | 50.0% |
| 10, 20, 30, 40, 50 | 75th | Value at Percentile | 40.0 |
| 65, 70, 75, 80, 85, 90, 95 | 80 | Percentile Rank | 50.0% |
| 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 | 90th | Value at Percentile | 9.1 |
Frequently Asked Questions
What is the difference between percentile and percentage?
Percentile indicates the relative position within a dataset (e.g., 75th percentile means 75% of values are below), while percentage is a proportion out of 100 (e.g., 75% correct answers).
How do I interpret percentile results?
If a value is at the 80th percentile, it means 80% of the data falls below that value and 20% falls above it. Higher percentiles indicate higher relative positions in the dataset.
What are common percentiles used in statistics?
Common percentiles include the 25th (Q1), 50th (median/Q2), and 75th (Q3) percentiles, which divide data into quartiles. The 90th and 95th percentiles are often used to identify outliers.
Can I use this calculator for small datasets?
Yes, the calculator works with any size dataset. However, percentiles are more meaningful with larger datasets as they provide better statistical representation of the data distribution.
Is this calculator free to use?
Yes, our percentile calculator is completely free with no registration required. It supports both finding percentile ranks and values at specific percentiles for educational and professional use.