The Excel STDEV.S Function

Related Function:
STDEV.P Function

Standard Deviation

The Standard Deviation is a statistical measure, that is closely linked to the Variance. Both measures are commonly used across a set of values, to identify the amount that the values differ (or deviate) from the average value.

When your data set is a sample of a population, (rather than an entire population), you should use a slightly modified form of the Standard Deviation, known as the Sample Standard Deviation. The equation for this is :

Sample Standard Deviation Equation

where x takes on each value in the set, x is the average (statistical mean) of the set of values, and n is the number of values.

A full explanation can be found on the Wikipedia Standard Deviation page


Basic Description

The Excel STDEV.S function calculates the sample standard deviation of a supplied set of values.

The function is new in Excel 2010 and so is not available in earlier versions of Excel. However, the Stdev.S function is simply a new version of the Stdev function that is available in earlier versions of Excel.

The format of the function is :

STDEV.S( number1, [number2], ... )

where the arguments, number1, [number2], etc, between 1 and 255 numerical values or references to cells containing numbers.

Note that the Stdev.S function is used when calculating the standard deviation for a sample of a population (eg. if your data set records the individual heights of a sample of UK males). If you are calculating the standard deviation of an entire population, you need to use the Stdev.P function.

Note also, that the Stdev function ignores text values and logical values if these are supplied as part of an array. If you want a function that includes text and logical values in the calculation, consider using the Stdeva function.


Stdev.S Function Example

Example of use of the Excel Stdev.S Function

Imagine you wanted to find out the standard deviation of the heights of adult males in London. It is not possible to measure the height of all males, so you would have to use sample of the population.

The example spreadsheet on the right stores the measurements (in cm) of 3,000 adult males. The measured heights are stored in cells B3 - B1002, D3 - D1002 and F3 - F1002.

The standard deviation of the heights of the sample group is calculated in cell H3 of the spreadsheet. The formula for this, as shown in the formula bar, is :

=STDEV.S( B3:B1002, D3:D1002, F3:F1002 )

As shown in cell H3, the Stdev.S function calculates the standard deviation in the measured heights to be 5.4 cm.


Other Argument Types

In the example above, the arguments to the Stdev.S function are input as 3 cell ranges. However, you can also input figures directly, as individual numbers or number arrays.

For example, if you wanted to include two further heights, of 176cm and 177cm into the sample, you could add these directly into the above function as follows:

Either as individual numbers:

=STDEV.S( B3:B1002, D3:D1002, F3:F1002, 176, 177 )

Or, as an array of numbers:

=STDEV.S( B3:B1002, D3:D1002, F3:F1002, {176,177} )

Further information and examples of the Excel Stdev.S function can be found on the Microsoft Office website.


Trouble Shooting

If you get an error from the Excel Stdev.S function this is likely to be one of the following:

Common Errors
#DIV/0! -

Occurs if none of the values supplied to the function are numeric

(Note that text representations of numbers, that are supplied as a part of an array, are not interpreted as numeric values by the Stdevp function)
#VALUE! - Occurs if any values that are supplied directly to the Stdevpa function are text values that cannot be interpreted as numeric values.
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