El Desviación Absoluta Mediana (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.
Para calcular la MAD, sigue estos pasos:
- Determina la mediana del conjunto de datos.
- Calcula las desviaciones absolutas de cada punto de datos respecto a la mediana.
- Encuentra la mediana de estas desviaciones absolutas.
La fórmula puede expresarse como:
MAD = median(|X_i – median(X)|)
where X represents the dataset and X_i es cada punto de datos individual.
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, control de calidad, 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.