Das Median Absolute Deviation (MAD) is a statistical measure used to quantify the variability or dispersion of a dataset. Unlike standard deviation, which can be heavily influenced by outliers, the MAD is a robust statistic that offers a more reliable assessment of spread in the presence of extreme values.
Um die MAD zu berechnen, folgen Sie diesen Schritten:
- Bestimmen Sie den Median des Datensatzes.
- Berechnen Sie die absoluten Abweichungen jedes Datenpunkts vom Median.
- Finden Sie den Median dieser absoluten Abweichungen.
Die Formel kann wie folgt ausgedrückt werden:
MAD = median(|X_i – median(X)|)
where X represents the dataset and X_i ist jeder einzelne Datenpunkt.
The resulting value from this calculation provides a measure of the average distance of data points from the median, making it particularly useful in fields such as finance, der Qualitätskontrolle, and environmental studies where outliers may skew the results. The MAD is often used in conjunction with other statistics to assess the reliability of the dataset and to make informed decisions based on the degree of variability present.