Percentile Calculator
Percentile Calculator computes the value at a specified percentile of a dataset, showing the value below which a given percentage of data falls. Useful for data distribution analysis.
Enter comma-separated values and percentile (0-100):
Methodology Used in Percentile Calculator
The calculator computes the percentile value using:
1. Percentile position: \\( P = \frac{p}{100} \cdot (n + 1) \\)
2. Percentile value: Linear interpolation at position \\( P \\)
Where:
- \\( p \\): Percentile (0 to 100)
- \\( n \\): Sample size
Sorts data and interpolates for fractional positions.
Example Calculation
Sample Input
Dataset = 1, 2, 3, 4, 5, Percentile = 75
Step 1: Sort data: \\( 1, 2, 3, 4, 5 \\)
Step 2: Position: \\( P = \frac{75}{100} \cdot (5+1) = 4.5 \\)
Step 3: Interpolate: Value at 4.5 = \\( 4 + 0.5 \cdot (5 – 4) = 4.5 \\)
Result: 75th Percentile = 4.5.