QUARTILE.EXC Function

Excel Functions › Statistical

Excel 2010+ Statistical

The Excel QUARTILE.EXC function returns a quartile of a data set using the exclusive method, which excludes the 0% and 100% endpoints and returns slightly different inner quartiles than QUARTILE.INC.


Quick answer:
=QUARTILE.EXC({1,2,4,7,8,9,10,12},1) first quartile = 2.5

Syntax

=QUARTILE.EXC(array, quart)
ArgumentDescription
arrayRequiredThe range or array of numeric data.
quartRequiredWhich quartile to return: 1 = first quartile (25%), 2 = median, 3 = third quartile (75%). Values of 0 and 4 are not allowed in the exclusive method.

How to use it

QUARTILE.EXC computes quartiles with the exclusive method, positioning each quartile via k×(n+1). Because it excludes the extremes, only quart values of 1, 2, and 3 are valid — there is no 0 (minimum) or 4 (maximum).

=QUARTILE.EXC({1,2,4,7,8,9,10,12},1) // Q1 = 2.5
=QUARTILE.EXC({1,2,4,7,8,9,10,12},2) // median = 7.5

For the same eight-point data set, QUARTILE.EXC returns Q1 = 2.5, whereas QUARTILE.INC returns 3.5. The median (quart 2) agrees for both methods. It is a wrapper around PERCENTILE.EXC at 0.25, 0.5, and 0.75.

quart must be 1, 2, or 3. The exclusive method cannot return the minimum or maximum, so quart=0 or quart=4 returns the #NUM! error. Use MIN and MAX for the extremes.

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Live demo

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Result:

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Frequently asked questions

Why can't QUARTILE.EXC take quart values of 0 or 4?
The exclusive method excludes the 0% and 100% endpoints, so the minimum and maximum are not defined for it. Only quart 1, 2, and 3 are valid; 0 or 4 returns #NUM!. Use MIN and MAX for the extremes.
How is QUARTILE.EXC different from QUARTILE.INC?
EXC positions quartiles via k×(n+1) and excludes the endpoints; INC uses k×(n-1)+1 and includes them. The inner quartiles differ — e.g. Q1 is 2.5 (EXC) versus 3.5 (INC) for the sample data.
Does the median differ between QUARTILE.EXC and QUARTILE.INC?
No. quart=2 (the median) gives the same result in both methods — only the first and third quartiles differ.
When should I use QUARTILE.EXC?
Use it when your statistical convention requires the exclusive quartile method, common in some textbooks and finance settings. For general use and compatibility with legacy QUARTILE, choose QUARTILE.INC.

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Related functions: QUARTILE.INC · PERCENTILE.EXC · MEDIAN · PERCENTILE.INC · PERCENTRANK.EXC