その 中央絶対偏差（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.
MADを計算するには、次の手順に従います：
- データセットの中央値を求めます。
- 各データポイントと中央値との差の絶対値を計算します。
- これらの絶対偏差の中央値を見つけます。
その式は次のように表されます：
MAD = median(|X_i – median(X)|)
where X represents the dataset and X_i は各個別のデータポイントを表します。
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, プライバシーの懸念, 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.