STDEVPA

Microsoft Office Excel 2003

See Also

Calculates standard deviation based on the entire population given as arguments, including text and logical values. The standard deviation is a measure of how widely values are dispersed from the average value (the mean).

Syntax

STDEVPA(value1,value2,...)

Value1, value2, ...    are 1 to 30 values corresponding to a population. You can also use a single array or a reference to an array instead of arguments separated by commas.

Remarks

  • STDEVPA assumes that its arguments are the entire population. If your data represents a sample of the population, you must compute the standard deviation using STDEVA.
  • Arguments that contain TRUE evaluate as 1; arguments that contain text or FALSE evaluate as 0 (zero). If the calculation must not include text or logical values, use the STDEVP worksheet function instead.
  • For large sample sizes, STDEVA and STDEVPA return approximately equal values.
  • The standard deviation is calculated using the "biased" or "n" method.
  • STDEVPA uses the following formula:

    Equation

    where x is the sample mean AVERAGE(value1,value2,…) and n is the sample size.

Example

The example may be easier to understand if you copy it to a blank worksheet.

ShowHow?

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic. Do not select the row or column headers.

    Selecting an example from Help

    Selecting an example from Help

  3. Press CTRL+C.
  4. In the worksheet, select cell A1, and press CTRL+V.
  5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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A
Strength
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Formula Description (Result)
=STDEVPA(A2:A11) Standard deviation of breaking strength, assuming only 10 tools are produced (26.05455814)