BUILT-IN MATHEMATICA SYMBOL

StandardDeviation

StandardDeviation[list]
gives the sample standard deviation of the elements in list.

StandardDeviation[dist]
gives the standard deviation of the symbolic distribution dist.

Standard deviation of a list of numbers:

Standard deviation of elements in each column:

Standard deviation of a symbolic lognormal distribution:

Standard deviation of a list of numbers:

Out[1]=

Standard deviation of elements in each column:

Out[1]=

Standard deviation of a symbolic lognormal distribution:

Out[1]=

Exact numeric input:

Numerical approximation:

Standard deviation 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:

Transform data to have mean 0 and unit variance:

StandardDeviation is a scaled Norm of deviations from the Mean:

StandardDeviation is the square root of a scaled CentralMoment:

StandardDeviation is a scaled RootMeanSquare of the deviations:

StandardDeviation is the square root of a scaled Mean of squared deviations:

StandardDeviation squared is less than MeanDeviation if all absolute deviations are less than 1:

StandardDeviation squared is greater than MeanDeviation if all absolute deviations are greater than 1:

StandardDeviation of a random variable as the square root of Variance: