Function Repository Resource:

MultivariateMeanDeviation

Source Notebook

Find the scalar mean of the Euclidean distances between the multivariate data points and their mean

Contributed by: Wolfram Research

ResourceFunction["MultivariateMeanDeviation"][matrix]

gives the mean of the Euclidean distances between the elements of matrix and their mean.

Details and Options

ResourceFunction["MultivariateMeanDeviation"] is a univariate measure of mean deviation for multivariate data.
The multivariate mean deviation is given by , where matrix={x1,x2,,xn} and .
ResourceFunction["MultivariateMeanDeviation"] handles both numerical and symbolic data.

Examples

Basic Examples (1) 

Multivariate mean deviation for bivariate data:

In[1]:=
ResourceFunction[
 "MultivariateMeanDeviation"][{{1, 2}, {3, 4}, {5, 6}}]
Out[1]=

Requirements

Wolfram Language 11.3 (March 2018) or above

Version History

  • 1.0.0 – 20 February 2019

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License Information