O Mediana da Deviation Absoluta (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 o MAD, siga os seguintes passos:
- Determine a mediana do conjunto de dados.
- Calcule as diferenças absolutas de cada ponto de dado em relação à mediana.
- Encontre a mediana dessas diferenças absolutas.
A fórmula pode ser expressa como:
MAD = median(|X_i – median(X)|)
where X represents the dataset and X_i é cada ponto de dado 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, controle de qualidade, 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.