stats

Median Absolute Deviation

Robust scale estimator MAD = median(|xᵢ−median|) — scaled MAD for σ estimation, outlier flagging, MAD-based box plot.

Input

Numbers (comma or space separated)

Results

n—

Median—

MAD—

Scaled MAD (1.4826 × MAD)—

Q1—

Q3—

IQR—

Outliers (|dev| > 2.5 MADS)—

MAD = median(|xᵢ − median(x)|) · Scaled = 1.4826 × MAD ≈ σ
Outlier: |xᵢ − M| > 2.5 × scaled MAD

Scaled MAD is a robust estimator of σ, less sensitive to outliers than SD.