# Documentation/Calc Functions/QUARTILE.INC

QUARTILE.INC

## Category:

Statistical Analysis

## Summary:

Calculates the quartile of a set of data points. Quartiles describe the division of a data set into four intervals based on the values of the data. The lowest 25% of the values are smaller than the first or lower quartile (equivalent to the 25th percentile). The lowest 50% of the values are smaller than the second quartile and this is also known as the median (equivalent to the 50th percentile). The lowest 75% of the values are smaller than the third or upper quartile (equivalent to the 75th percentile). This function uses a percentile-based value from 0 to 1, inclusive for calculation.

## Syntax:

QUARTILE.INC(Data; Type)

## Returns:

Returns a real number which is the requested quartile of the specified data set.

## Arguments:

Data is an array or a reference to a range of cells representing the array of data in the sample.

Type is an integer value from the range {0,1,2,3,4} or a reference to the cell containing that number which represents the type of quartile. (0 = MIN, 1 = 25%, 2 = 50% (MEDIAN), 3 = 75% and 4 = MAX.)

• If Type is a non-integer real number then the function uses the floor value, i.e. it is truncated to an integer. However, if the Type is less than 0 or greater than or equal to 5 then the function returns an error value.

• Calc functions MIN, MEDIAN, and MAX will return the same value as QUARTILE.INC for the value of Type equal to 0, 2, and 4, respectively. The difference between QUARTILE.INC/QUARTILE and QUARTILE.EXC is that the QUARTILE.INC function bases its calculation on a percentile range of 0 to 1 inclusive, whereas the QUARTILE.EXC function bases its calculation on a percentile range of 0 to 1 exclusive.

## Examples:

Formula Description Returns
=QUARTILE.INC(A1:A5;4) where A1:A5 contains 5,7,3,2,9 Calculates the maximum value of the data in cells A1:A5. Here, the function will return a percentile-based value. 9
=QUARTILE.INC(A1:A5;3) where A1:A5 contains 5,7,3,2,9 Calculates the third or upper quartile value of the data in cells A1:A5. Here, the function will return a percentile-based value. 7
=QUARTILE.INC(A1:A5;2) where A1:A5 contains 5,7,3,2,9 Calculates the median value of the data in cells A1:A5. Here, the function will return a percentile-based value. 5
=QUARTILE.INC(A1:A5;1) where A1:A5 contains 5,7,3,2,9 Calculates the first or lower quartile value of the data in cells A1:A5. Here, the function will return a percentile-based value. 3
=QUARTILE.INC(A1:A5;0) where A1:A5 contains 5,7,3,2,9 Calculates the minimum value of the data in cells A1:A5. Here, the function will return a percentile-based value. 2
=QUARTILE.INC(A1:A5;3.6) where A1:A5 contains 5,7,3,2,9 Here the value of Type is truncated to 3. Here, the function will return a percentile-based value. 7
=QUARTILE.INC(A1:A6;3.6) where A1:A6 contains 5,7,3,2,8,9 Calculates the third or upper quartile value of the data in cells A1:A6. Calculates the value of which 75% of the scale corresponds to the lowest to highest values in the range A1:A5. Here the value of Type is truncated to 3. Here since no direct number from the range is available the function will return a percentile-based value. Here, the function will return a percentile-based value. 7.75

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QUARTILE.INC