Notes.nb

Descriptive Statistics

Measures of Location

Sample Mean

By definition, the sample mean is

Overscript[x, _] = Underoverscript[∑, i = 1, arg3] x_i

for a sample

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Alternatively, we can make the same computation with the built in Mathematica function "Mean"

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[Trimmed mean?]

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Variability

Sample Variance

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$Sum[(x[[i]] - Mean[x])^2, {i, 1, Length[x]}]/(Length[x] - 1)$

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Sample Standard Deviation

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$√ (Sum[(x[[i]] - Mean[x])^2, {i, 1, Length[x]}]/(Length[x] - 1))$

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449/30^(1/2)

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449/30^(1/2)

Sample Range

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Created by Mathematica (July 20, 2006)