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Mathematica > Data Manipulation > Statistics > Descriptive Statistics >

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Built-in Mathematica Symbol

TrimmedMean

TrimmedMean[list, f]
gives the mean of the elements in list after dropping a fraction f of the smallest and largest elements.

TrimmedMean[list, {f₁, f₂}]
gives the mean when a fraction f₁ of the smallest elements and a fraction f₂ of the largest elements are removed.

TrimmedMean[list]
gives the 5% trimmed mean TrimmedMean[list, 0.05].

TrimmedMean[{{x₁, y₁, ...}, {x₂, y₂, ...}, ...}, f] gives {TrimmedMean[{x₁, x₂, ...}, f], TrimmedMean[{y₁, y₂, ...}, f], ...}.

Give the trimmed mean after removing extreme values:

Give the trimmed mean after removing the smallest extreme values:

Give the trimmed mean after removing extreme values:

Give the trimmed mean after removing the smallest extreme values:

TrimmedMean works with any real numeric quantities:

TrimmedMean finds trimmed means of elements in each column:

Obtain results at any precision:

Compute results for a large vector or matrix:

Compute results for a SparseArray:

Obtain a robust estimate of location when outliers are present:

Extreme values have a large influence on the Mean:

A 0% TrimmedMean is equivalent to Mean:

TrimmedMean approaches Median as f approaches 1/2:

TrimmedMean requires numeric values: