Documentation/Calc Functions/STDEV.P
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Function name:
STDEV.P
Category:
Statistical Analysis
Summary:
Calculates the population standard deviation of a set of numbers.
Syntax:
STDEV.P(Number 1[; Number 2[; ...[; Number 255]]])
Returns:
Returns a non-negative real number, which is the population standard deviation of the supplied numbers.
Arguments:
Number 1, Number 2, ..., Number 255 give the set of real numbers for which the population standard deviation is to be calculated. Each argument may be a value or an expression, a reference to a single cell, a reference to a cell range, the name of a named or database range, or an inline array.
Note that although STDEV.P can accept up to 255 arguments, each argument could specify a range of cells. This means that the number of real numbers processed could be many more than 255.
The following conditions (including errors) may be encountered:
- If any argument is a string in quotation marks, then STDEV.P reports a parameter list error (Err:504).
- Text in cells and empty cells are ignored.
- If no numbers are supplied, then STDEV.P reports a #DIV/0! error.
- If only one number is supplied, then STDEV.P returns 0.
Additional details:
- Calc's STDEVP and STDEV.P functions perform identical calculations. The requirements for STDEVP are specified in ODF 1.2; STDEV.P is provided for interoperability with Microsoft Excel.
- The formula for the population standard deviation ([math]\displaystyle{ \sigma }[/math]) is:
- [math]\displaystyle{ \sigma\:=\:\sqrt{\frac{1}{n}\sum_{i=1}^{n}(x_{i}-\mu)^2} }[/math]
- where
- [math]\displaystyle{ n }[/math] is the size of the population
- [math]\displaystyle{ x_{i} }[/math] is the i-th value in the population
- [math]\displaystyle{ \mu }[/math] is the population mean
- The name space for STDEV.P is
COM.MICROSOFT.STDEV.P
. - For more information on standard deviations, visit Wikipedia's Standard deviation page.
Examples:
Formula | Description | Returns |
---|---|---|
=STDEV.P(A1:A5) where cells A1:A5 contain the values 1, 2, 3, 4, and 5 respectively. | Here the function calculates the population standard deviation of the five values in the specified cells. | 1.4142135623731 |
=STDEV.P(3; 4; 5; 6; 2; 3; 1) | Here the function calculates the population standard deviation of the seven values passed as individual arguments. | 1.59078981795143 |
=STDEV.P({3, 4, -5, 6.05, 2, 3, -1.5}) | Here the function calculates the population standard deviation of the seven values passed in an inline array. | 3.43916518109514 |
Related LibreOffice functions:
ODF standard:
None
Related (or similar) Excel functions:
STDEV.P