Percentile Calculator — Formula
## How to Estimate a Percentile by Interpolation
### Formula
**Value at P = Lower Value + Fraction * (Upper Value - Lower Value)**
where **Fraction = (Target Percentile - Lower Rank) / (Upper Rank - Lower Rank)**
This linearly interpolates between two known ranked values. The kth percentile is the value below which k% of observations fall.
### Formula
**Value at P = Lower Value + Fraction * (Upper Value - Lower Value)**
where **Fraction = (Target Percentile - Lower Rank) / (Upper Rank - Lower Rank)**
This linearly interpolates between two known ranked values. The kth percentile is the value below which k% of observations fall.
Esempio Risolto
The 40th percentile is 70 and the 60th percentile is 80. Estimate the 50th percentile.
- Fraction = (50 - 40) / (60 - 40) = 10 / 20 = 0.5
- Value at 50th percentile = 70 + 0.5 * (80 - 70)
- = 70 + 0.5 * 10 = 70 + 5 = 75