Statistical - STDEVPA Function

Description

The STDEVPA function calculates standard deviation based on the entire population given as arguments, including text and logical values.

STDEVPA (value1, [value2] ...)

Argument	Description	Required/ Optional
Value1	1 to 255 values corresponding to a population. You can also use a single array or a reference to an array instead of arguments separated by commas.	Required
Value 2,...	optional

Argument

Description

Required/ Optional

Value1

1 to 255 values corresponding to a population.

You can also use a single array or a reference to an array instead of arguments separated by commas.

Required

Value 2,...

optional

STDEVPA uses the following formula −

$$\sqrt{\frac{\sum \left ( x-\bar{x} \right )^2}{n}}$$

Where x is the sample mean AVERAGE (value1, value2…) and n is the sample size.
STDEVPA assumes that its arguments are the entire population. If your data represents a sample of the population, you must compute the standard deviation by using STDEVA.
For large sample sizes, STDEVA and STDEVPA return approximately equal values.
The standard deviation is calculated using the "n" method.
Arguments can be the following: numbers; names, arrays, or references that contain numbers; text representations of numbers; or logical values, such as TRUE and FALSE, in a reference.
Text representations of numbers that you type directly into the list of arguments are counted.
Arguments that contain TRUE evaluate as 1. Arguments that contain text or FALSE evaluate as 0 (zero).
If an argument is an array or reference, only values in that array or reference are used. Empty cells and text values in the array or reference are ignored.
Arguments that are error values or text that cannot be translated into numbers cause errors.
If you do not want to include logical values and text representations of numbers in a reference as part of the calculation, use the STDEVP function.

Excel 2007, Excel 2010, Excel 2013, Excel 2016

advanced_excel_statistical_functions.htm