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While measuring the mean of a data set, care needs to be taken when associating the mean to its central tendency. The same goes for the arithmetic mean, the geometric mean, or the harmonic mean. This is because the presence of a single outlier data value can significantly affect the mean. That is, the mean is sensitive to fluctuations in the data set.

Although certain measures of central tendency are not sensitive to outliers, there are alternative versions of the mean that get around the problem. The trimmed mean is one such example. After sorting the data, the outliers can be removed before calculating the arithmetic mean, the geometric mean, or the harmonic mean. When trimming is carried out symmetrically on the same percentage of the arranged data from both the upper and lower bounds, the data is said to be trimmed by that percentage.

Tags
Trimmed MeanCentral TendencyArithmetic MeanGeometric MeanHarmonic MeanOutliersData SetSensitivityData TrimmingStatistical Measures

Aus Kapitel 3:

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3.5 : Trimmed Mean

Measure of Central Tendency

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3.1 : Was ist die zentrale Tendenz?

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3.2 : Arithmetisches Mittel

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3.3 : Geometrisches Mittel

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3.4 : Harmonisches Mittel

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3.6 : Gewichteter Mittelwert

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3.7 : Wurzelmittleres Quadrat

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3.8 : Mittelwert aus einer Häufigkeitsverteilung

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3.9 : Was ist ein Modus?

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3.10 : Median

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3.11 : Midrange

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3.12 : Schiefe

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3.13 : Arten von Schiefe

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