Documentation/Calc Functions/PERCENTILE.EXC
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Function name:
PERCENTILE.EXC
Category:
Statistical Analysis
Summary:
Calculates the alpha-percentile of data values in an array of numbers. Percentiles can be used to understand the significance of particular values within a data set. The nth percentile of a data set is the value below which n% of the data set lies. This function uses an alpha argument lying in the range 0 to 1 (exclusive), which corresponds to a percentage in the range 0% to 100% (exclusive). For example, an alpha of 0.5 gives the 50th percentile, also known as the median.
Syntax:
PERCENTILE.EXC(Data; Alpha)
Returns:
Returns a real number which is the scale value for the specified data set and alpha.
Arguments:
Data is an array or a reference to the range of cells that represents the array of data.
Alpha is a real number or a reference to the cell containing that number which represents the percentage of the scale between 0 and 1. Values 0 and 1 are excluded.
- If Alpha is greater than or equal to 1 or less than or equal to 0 then the function returns an error value.
- If Alpha is not a multiple of 1/(n+1), (where n is the number of values in the supplied array), the function interpolates between the values in the supplied array, to calculate the percentile value. However, if Alpha is less than 1/(n+1) or Alpha is greater than n/(n+1), the function is unable to interpolate, and so returns an error.
Additional details:
- Alpha = 0.25 gives the first quartile, Alpha = 0.5 gives the median, and Alpha = 0.75 gives the third quartile.
- For more details on percentiles, visit Wikipedia.
Examples:
Formula | Description | Returns |
---|---|---|
=PERCENTILE.EXC(A1:A5;0.4) where A1:A5 contains 5,7,3,2,9 | The function calculates the value in the data set, which equals 40% of the total data scale in A1:A5. Here Alpha is not a multiple of 1/(5+1) so interpolation occurs. | 3.8 |
=PERCENTILE.EXC(A1:A5;0.16) where A1:A5 contains 5,7,3,2,9 | The Alpha value must be greater than 1/(5+1) or 0.16666... and less than 5/(5+1) or 0.83333... which in this case is not followed hence the function returns an error value | Err:504 |
=PERCENTILE.EXC(A1:A5;1) where A1:A5 contains 5,7,3,2,9 | The function returns an error value since Alpha is not in the range 0 to 1, exclusive. | Err:502 |
=PERCENTILE.EXC({5;7;3;2;9};0.1) | The function returns an error value because value of Alpha is less than 1/(5+1) = 1.66... | Err:504 |
=PERCENTILE.EXC({5;7;3;2;9},5/6) | The function calculates the value in the data set, which equals 5/6th of the total data scale. Here Alpha is a multiple of 1/(5+1) so no interpolation occurs returning an exact value from the data set. | 9 |
Related LibreOffice functions:
ODF standard:
None
Equivalent Excel functions:
PERCENTILE.EXC