The Excel PERCENTILE.EXC function returns the k’th percentile of a supplied range of values for a given value of k, within the range 0 to 1 (exclusive). The function is new in Excel 2010 and so is not available in earlier versions of Excel.
Syntax: PERCENTILE.EXC( array, k )
Where the function arguments are:
|array||–||The range of data values for which you want to calculate the k’th percentile|
|k||–||The value, between 0 and 1 (exclusive), of the required percentile|
If k 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 k is < 1/(n+1) or k is > n/(n+1), the function is unable to interpolate, and so returns an error.
Percentile.Exc Function Examples
The spreadsheets below show examples of the Excel Percentile.Exc function used to calculate the k’th percentile of a set of values in cells A1 – A4 of the sample spreadsheet, for different values of k. The formulas for the functions are shown in the spreadsheet on the left, and the results are shown in the spreadsheet on the right.
Note that in the above examples:
- The value of k can be input as a decimal or a percentage – for example, value 0.2 in cell B1, is the same as 20%, – the 20th percentile
- The 50th percentile (see cell B3) falls halfway between the values of 2 and 3. Therefore, in this case, Excel has interpolated, to calculate the result 2.5.
- When k is 95% (see cell B4), the function returns the #NUM! error. This is because 95% (or 0.95) is greater than the maximum value of k, which is 0.8 (= n/(n+1)).
Percentile.Exc Function Errors
If you get an error from the Excel Percentile.Exc function error occurs if either the supplied value of k is is < 1/(n+1) or > n/(n+1) or the supplied array is empty