## 7.1.42 STANDARD-DEVIATION

The STANDARD-DEVIATION function returns a numeric value that approximates
the standard deviation of its arguments.

The function type is numeric.

___ **Format** _____________________________________________________________
| |
| <____________ |
| >>__`FUNCTION` `STANDARD-DEVIATION`__(____`argument-1`_|__)_______________>< |
| |
|________________________________________________________________________|

**argument-1**
Must be class numeric.

The returned value is the approximation of the standard deviation of the
argument-1 series. The returned value is calculated as follows:

- The difference between each argument-1 and the arithmetic mean of the
argument-1 series is calculated and squared.

- The values obtained are then added together. This quantity is divided
by the number of values in the argument-1 series.

- The square root of the quotient obtained is then calculated. The
returned value is the absolute value of this square root.

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.

© Copyright IBM Corp. 1991, 1998

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