Percentile Calculator

Percentile is evaluated from Number 1, Number 2 and Number 3. The calculation reports Percentile Value, Values Below and% of Values Below.

Results

Thanks — we’ve logged this for review.

About the Percentile Calculator

Percentile is treated here as a quantitative relation between Number 1, Number 2, Number 3 and Number 4 and Percentile Value, Values Below and% of Values Below.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
Sort data, compute fractional index = p x (n - 1), interpolate between adjacent values.

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

Sort data, compute fractional index = p x (n - 1), interpolate between adjacent values.

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: SAT scores: 980, 1050, 1120, 1180, 1240, 1310, 1380, 1450 — find 75th percentile

Inputs

n1: 980 n2: 1050 n3: 1120 n4: 1180 n5: 1240 n6: 1310 n7: 1380 n8: 1450 percentile: 75
Percentile Value: 1,292.5. Values Below: 7. % of Values Below: 70%

With Number 1 = 980, Number 2 = 1,050, Number 3 = 1,120 and Number 4 = 1,180 as the stated inputs, the result is Percentile Value = 1,292.5, Values Below = 7 and% of Values Below = 70%. Each value corresponds to the declared output fields.

Example 2: House prices ($K): 285, 320, 365, 410, 455, 510, 590, 680 — find 90th percentile

Inputs

n1: 285 n2: 320 n3: 365 n4: 410 n5: 455 n6: 510 n7: 590 n8: 680 percentile: 90
Percentile Value: 599. Values Below: 9. % of Values Below: 90%

With Number 1 = 285, Number 2 = 320, Number 3 = 365 and Number 4 = 410 as the stated inputs, the result is Percentile Value = 599, Values Below = 9 and% of Values Below = 90%. Each value corresponds to the declared output fields.

Example 3: Baby weights (lbs): 6.8, 7.2, 7.5, 8.1, 8.4, 8.7, 9.0, 9.2 — find 50th percentile

Inputs

n1: 6.8 n2: 7.2 n3: 7.5 n4: 8.1 n5: 8.4 n6: 8.7 n7: 9 n8: 9.2 percentile: 50
Percentile Value: 8.55. Values Below: 5. % of Values Below: 50%

With Number 1 = 6.8, Number 2 = 7.2, Number 3 = 7.5 and Number 4 = 8.1 as the stated inputs, the result is Percentile Value = 8.55, Values Below = 5 and% of Values Below = 50%. Each value corresponds to the declared output fields.

Example 4: Employee performance ratings: 62, 71, 75, 78, 82, 85, 88, 91, 94, 97 — find 30th percentile

Inputs

n1: 62 n2: 71 n3: 75 n4: 78 n5: 82 n6: 85 n7: 88 n8: 91 n9: 94 n10: 97 percentile: 30
Percentile Value: 77.1. Values Below: 3. % of Values Below: 30%

With Number 1 = 62, Number 2 = 71, Number 3 = 75 and Number 4 = 78 as the stated inputs, the result is Percentile Value = 77.1, Values Below = 3 and% of Values Below = 30%. Each value corresponds to the declared output fields.

Common Use Cases

  • Calculate percentile rank from a dataset
  • Interpret standardized test scores
  • Compare individual value to a distribution