## 7.1.47 VARIANCE

The VARIANCE function returns a numeric value that approximates the
variance of its arguments.

The function type is numeric.

___ **Format** _____________________________________________________________
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| <____________ |
| >>__`FUNCTION` `VARIANCE`__(____`argument-1`_|__)_________________________>< |
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|________________________________________________________________________|

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

The returned value is the approximation of the variance of the argument-1
series.

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

- The difference between each argument-1 value 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 series.

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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