\(\text{Variance}\)

You can use the \(\text{Variance}\) function to calculate the variance of a collection of basic values. Values can be provided as parameters or contained within a collection of iterable types.

You can use the \variance backslash command to insert this function.

The following variants of this function are available:

  • \(\text{real } \text{Variance} \left ( \ldots \right )\)

This function calculates the variance using the relationship:

\[\text{Variance} \left ( X \right ) = \frac{1}{N} \sum_{x \in X} \left ( x - \mu \right ) ^ 2\]

Note that, like the \(\text{Count}\) and \(\text{Average}\) function, you can use this function to traverse complex data structures to calculate the variance.

Figure 214 shows the basic use of the \(\text{Variance}\) function.

../_images/variance_example.png

Figure 214 Example Use Of The Variance Function