Percentile Calculator

Calculate percentiles and percentile ranks of a data set. Find the value at any percentile or the percentile of any value.

P75 Value
89.00
Rank: ~8 of 11
Q1 (25th)
73.00
Lower quartile
Q2 / Median (50th)
82.00
Center of distribution
Q3 (75th)
89.00
Upper quartile
IQR (Q3 - Q1)
16.00
Middle 50% spread
Min / Max
58 / 97
Range: 39
Mean
80.36
Arithmetic average
Outliers
None
Tukey fence: 49 to 113
Box Plot
58Q1-Q3 boxP75 = 8997
Common Percentiles Reference
PercentileNameValue (your data)Common Usage
10thP1065.00Bottom 10%, cutoff in distributions
25thQ173.001st quartile, lower fence
50thP5082.00Median, center of distribution
75thQ389.003rd quartile, upper fence
90thP9095.00Top 10%, excellence threshold
95thP9596.00Statistical significance cutoff
99thP9996.80Extreme tail, outlier boundary
Planning notes, formulas, and examples

About the Percentile Calculator

The Percentile Calculator finds the value at any given percentile in your data set, or the percentile rank of any given value. The kth percentile is the value below which k% of the data falls.

Percentiles are widely used in standardized testing (SAT scores), pediatric growth charts, income distribution, and performance benchmarking. The 50th percentile is the median, 25th is Q1, and 75th is Q3.

This calculator accepts comma-separated data, computes the requested percentile using linear interpolation, and provides a complete quartile summary. Enter your data and a target percentile to get started.

When This Page Helps

Finding exact percentiles requires sorting, ranking, and interpolation. This calculator handles all the math and provides a complete quartile summary.

How to Use the Inputs

  1. Enter your data set separated by commas.
  2. Enter the desired percentile (0โ€“100).
  3. View the value at that percentile.
  4. See the full quartile summary (Q1, Q2, Q3).
  5. Or enter a specific value to find its percentile rank.
Formula used
Percentile value using linear interpolation: Rank = (P/100) ร— (nโˆ’1) Lower index = floor(Rank) Fraction = Rank โˆ’ Lower index Value = x[lower] + fraction ร— (x[lower+1] โˆ’ x[lower])

Example Calculation

Result: 26

Sorted data: 15, 20, 35, 40, 50. Rank = 0.40 ร— 4 = 1.6. Value = x[1] + 0.6 ร— (x[2] โˆ’ x[1]) = 20 + 0.6 ร— 15 = 29.

Tips & Best Practices

  • The 50th percentile equals the median.
  • The 25th and 75th percentiles are Q1 and Q3; IQR = Q3 โˆ’ Q1.
  • Different software uses different interpolation methods; results may vary slightly.
  • A percentile rank of 90 means you scored better than 90% of the group.
  • Percentiles are not the same as percentages on a test.
  • Growth charts use percentiles to track child development over time.

Percentiles in Standardized Testing

SAT, GRE, and ACT scores are reported with percentile ranks so you can compare across different test dates and versions. A 1200 SAT at the 75th percentile means you beat 75% of test-takers.

Percentiles in Health

BMI, blood pressure, and growth charts use percentiles to identify typical versus unusual values. Values below the 5th or above the 95th percentile often trigger further evaluation.

Box Plots and Quartiles

Box plots visualize Q1, median, Q3, and outliers. The box spans the IQR, and whiskers extend to 1.5 ร— IQR. Points beyond that are plotted as individual outliers.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • The kth percentile is the value below which k% of the data falls. The 90th percentile means 90% of values are at or below that point.