Quick Answer

PERCENTILE.INC Function

Returns the value at percentile k (0 <= k <= 1) using the inclusive method.

✓ Excel✓ Google SheetsExcel Excel 2010+

Syntax

PERCENTILE.INC
(array, k)

Parameters

ParameterDescriptionRequired
arrayThe range or array of numeric values.Required
kThe percentile, a number between 0 and 1 inclusive.Required

Basic Example

Median via the inclusive method

=PERCENTILE.INC({1,2,3,4}, 0.5)
Result2.5

Rank = 1 + 0.5*(4-1) = 2.5; interpolating between 2 and 3 gives 2.5.

Advanced Examples

Example 1: 90th percentile with interpolation

Five evenly spaced values

A high k produces a rank near the top of the list.

=PERCENTILE.INC({2,4,6,8,10}, 0.9)
Result: 9.2
Rank = 1 + 0.9*(5-1) = 4.6; interpolate 60% from 8 to 10: 8 + 0.6*(10-8) = 9.2.

Example 2: k = 0 returns the minimum

Lower edge of the distribution

The inclusive method allows k = 0 and k = 1 at the extremes.

=PERCENTILE.INC({1,2,3,4,5}, 0)
Result: 1
With k = 0 the function returns the smallest value, 1.

How PERCENTILE.INC Works

PERCENTILE.INC uses the inclusive (INC) method. It computes a rank as 1 + k*(n-1), where n is the number of values, then linearly interpolates between the two surrounding sorted values. Because the method is inclusive, k can be 0 (minimum) or 1 (maximum). It is functionally identical to the legacy PERCENTILE. Text and logical values are ignored.

1
Select the result cell
Click where you want the percentile.
2
Enter the formula
Type =PERCENTILE.INC(range, k).
3
Press Enter
The interpolated percentile value is returned.

Important Notes & Limitations

  • k must be between 0 and 1 inclusive, else #NUM!.

  • Interpolates between values, so the result may not be a real data point.

  • Ignores text and logical values.

Common Errors & Fixes

#NUM! errork is outside 0..1 or the array is empty.

Fix: Keep k between 0 and 1 and supply a non-empty numeric range.

Result differs from PERCENTILE.EXCThe two functions use different interpolation formulas.

Fix: Use PERCENTILE.EXC only when you need the exclusive method (k strictly between 0 and 1).

Download Practice File

Practice PERCENTILE.INC with Real Data

Download a sample CSV file with pre-populated data and practice exercises for the PERCENTILE.INC function. Works in both Excel and Google Sheets.

Works in Google SheetsCompatible with ExcelIncludes exercises

File format: CSV (comma-separated values) - opens in Excel, Google Sheets, and all spreadsheet apps

Frequently Asked Questions

What is the difference between .INC and .EXC?
.INC (inclusive) allows k from 0 to 1 and uses rank 1 + k*(n-1); .EXC (exclusive) requires k strictly between 0 and 1 and uses rank k*(n+1), so it never returns the actual min or max.
Is PERCENTILE.INC the same as PERCENTILE?
Yes. PERCENTILE is the legacy name for the inclusive method; PERCENTILE.INC is the Excel 2010+ equivalent.
Why is my percentile a decimal?
The inclusive method interpolates between the two nearest values when the rank is fractional.