## 7.1.42 STANDARD-DEVIATION

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The STANDARD-DEVIATION function returns a numeric value that approximates the standard deviation of its arguments.
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The function type is numeric.
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___ Format _____________________________________________________________
|                                                                        |
|                                     <____________                      |
| >>__FUNCTION STANDARD-DEVIATION__(____argument-1_|__)_______________>< |
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|________________________________________________________________________|
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argument-1
Must be class numeric.
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The returned value is the approximation of the standard deviation of the argument-1 series. The returned value is calculated as follows:
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1. The difference between each argument-1 and the arithmetic mean of the argument-1 series is calculated and squared.
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2. The values obtained are then added together. This quantity is divided by the number of values in the argument-1 series.
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3. The square root of the quotient obtained is then calculated. The returned value is the absolute value of this square root.
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If the argument-1 series consists of only one value, or if the argument-1 series consists of all variable occurrence data items and the total number of occurrences for all of them is one, the returned value is zero.

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