BUILT-IN MATHEMATICA SYMBOL

Variance

Variance[list]
gives the sample variance of the elements in list.

Variance[dist]
gives the variance of the symbolic distribution dist.

Variance[list] is equivalent to Total[(list-Mean[list])^2]/(Length[list]-1) for real-valued data.

For complex data, Variance[list] is equivalent to (list-Mean[list]).Conjugate[list-Mean[list]]/(Length[list]-1).

Variance of a list of numbers:

Variance of elements in each column:

Variance of a symbolic lognormal distribution:

Variance of a list of numbers:

Out[1]=

Variance of elements in each column:

Out[1]=

Variance of a symbolic lognormal distribution:

Out[1]=

Exact numeric input:

Numerical approximation:

Variance of symbolic values:

Mixed numeric and symbolic data:

Exact numeric data:

Arbitrary-precision data:

Compute results for a large vector or matrix:

Compute results for a SparseArray:

Variance is a scaled squared Norm of deviations from the Mean:

The square root of Variance is a scaled RootMeanSquare of the deviations:

Variance is a scaled Mean of squared deviations from the Mean:

Variance is less than MeanDeviation if all absolute deviations are less than 1:

Variance is greater than MeanDeviation if all absolute deviations are greater than 1:

Variance of a random variable as an ExpectedValue: