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Excel PERCENTILE.INC Function

Excel PERCENTILE.INC function
Summary 

The Excel PERCENTILE.INC function calculates the "kth percentile" for a set of data where k is 0 to 1, inclusive. A percentile is a value below which a given percentage of values in a data set fall. You can use PERCENTILE.INC to determine the 90th percentile, the 80th percentile, etc.

Purpose 
Get kth percentile
Return value 
Calculated percentile for k
Syntax 
=PERCENTILE.INC (array, k)
Arguments 
  • array - Data values.
  • k - Number representing kth percentile.
Version 
Usage notes 

The Excel PERCENTILE.INC function calculates the "kth percentile" for a set of data, where k is between 0 and 1, inclusive. A percentile is a value below which a given percentage of values in a data set fall. A percentile calculated with .4 as k means 40% percent of values are less than or equal to the calculated result, a percentile calculated with k = .9 means 90% percent of values are less than or equal to the calculated result.

To use PERCENTILE.INC, provide a range of values and a number between 0 and 1 for the "k" argument, which represents percent. For example:

=PERCENTILE.INC(range,.4) // 40th percentile
=PERCENTILE.INC(range,.9) // 90th percentile

You can also specify k as a percent using the % character:

=PERCENTILE.INC(range,80%) // 80th percentile

PERCENTILE.INC returns a value greater than or equal to the specified percentile.

In the example shown, the formula in G5 is:

=PERCENTILE.INC(scores,E5)

where "scores" is the named range C5:C14.

PERCENTILE.INC vs. PERCENTILE.EXC

PERCENTILE.INC includes the full range of 0 to 1 as valid k values, compared to PERCENTILE.EXC which excludes percentages below 1/(N+1) and above N/(N+1).

Difference between PERCENTILE.INC and PERCENTILE.EXC

Note: Microsoft classifies PERCENTILE as a "compatibility function", now replaced by the PERCENTILE.INC function.

Notes

  1. k can be provided as a decimal (.5) or a percentage (50%)
  2. k must be between 0 and 1, otherwise PERCENTILE.INC will return the #NUM! error.
  3. When percentiles fall between values, PERCENTILE.INC will interpolate and return an intermediate value.

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