Excel PERCENTILE.INC Function
The Excel PERCENTILE.INC function returns the k-th percentile of the values in a given range. The k is from 0 to 1, including 0 and 1.
Syntax
=PERCENTILE.INC(array, k)
Arguments
- array (required): The array or range of data according to which to calculate the k-th percentile.
- k (required): The percentile value or a decimal value in the range from 0 to 1, including 0 and 1. For example, k=0.9 means to the 90th percentile of the values in array, meaning that 90% of values are less than or equal to the calculated result.
Return Value
The PERCENTILE.INC function returns a numeric value.
Function Notes
- PERCENTILE.INC returns the #VALUE! error value if k is not numeric.
- PERCENTILE.INC returns the #NUM! error value if:
- k < 0 or k > 1;
- array is empty.
- If the requested quartile falls between two of the values in the array, PERCENTILE.INC will interpolate and return an intermediate value.
Example
To get the 90th, 70th, 50th percentiles of the array as shown below, please copy or enter the formula below in the top cell F5, and press Enter to get the first result:
=PERCENTILE.INC($B$3:$B$11,E5)
√ Note: The dollar signs ($) above indicate absolute references, which means the array argument in the formula won't change when you move or copy the formula to other cells. However, there are no dollar signs added to k since you want it to be dynamic. After entering the formula, drag the fill handle down to apply the formula to the below cells.
PERCENTILE.INC VS. PERCENTILE.EXC
- PERCENTILE.INC includes the full range of 0 to 1 as valid k values;
- PERCENTILE.EXC excludes percentages from 0 to 1/(n+1) and from n/(n+1) to 1 as k values, the n in which is the number of elements in array.
Related functions
The Excel PERCENTILE.EXC function returns the k-th percentile of the values in a given range. The k is from 1/(n+1) to n/(n+1), including, where n is the number of values in the range.
The Excel SMALL function returns the k-th smallest value (1st smallest value, 2nd smallest value, etc.) in an array or range of data.
The Excel LARGE function returns the k-th largest number in an array or range of data.
The RANK function returns the rank of a number compared to other numbers in the same list. The same rank will be assigned to duplicate values in the list.
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