Microsoft KB Archive/101466

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XL: Formula to Calculate the Standard Error of the Mean

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The information in this article applies to:


 * Microsoft Excel for Windows, versions 3.0, 3.0a, 4.0, 5.0, 5.0c
 * Microsoft Excel for OS/2, version 3.0
 * Microsoft Excel for the Macintosh, versions 3.0, 4.0, 5.0, 5.0a
 * Microsoft Excel for Windows 95, versions 7.0, 7.0a
 * Microsoft Excel 97 for Windows
 * Microsoft Excel 98 Macintosh Edition

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SUMMARY
Although the Descriptive Statistics tool in the Analysis ToolPak can generate a report that includes the standard error of the mean, there is no function in Microsoft Excel to automatically calculate this value by itself.

MORE INFORMATION
To calculate the standard error of the mean by itself, use the one of the following formulas

= STANDARD DEVIATION / SQUARE ROOT OF THE POPULATION SIZE

-or-

= STDEV(range of values)/SQRT(number) where:


 * The "range of values" is the data used to determine the Standard Deviation.

-and-
 * The "number" is the size of all the possible random samples.