RootMeanSquare

RootMeanSquare[list]

gives the root mean square of values in list.

RootMeanSquare[dist]

gives the root mean square of the symbolic distribution dist.

Details

  • RootMeanSquare measures scale of data or distributions.
  • RootMeanSquare[list] gives the square root of the second sample moment.
  • For the list {x1,x2,,xn}, the root mean square is given by .
  • RootMeanSquare handles both numerical and symbolic data.
  • RootMeanSquare[{{x1,y1,},{x2,y2,},}] gives {RootMeanSquare[{x1,x2,}],RootMeanSquare[{y1,y2,}]}.
  • RootMeanSquare[dist] is equivalent to Sqrt[Expectation[x2,xdist]].

Examples

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Basic Examples  (3)

RootMeanSquare of a list:

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RootMeanSquare of columns of a matrix:

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RootMeanSquare of a symbolic lognormal distribution:

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Scope  (14)

Applications  (3)

Properties & Relations  (7)

See Also

StandardDeviation  Variance  Mean  Norm

Tutorials

Introduced in 2007
(6.0)
| Updated in 2017
(11.1)