Variability and MAD: Geometric construction for mean absolute deviation

This example demonstrates how to visualize the idea of data variability using a geometric construction centered on the mean absolute deviation (MAD). It highlights how MAD measures dispersion relative to a central reference by averaging absolute deviations. Key concepts include variability (dispersion), the definition and interpretation of MAD, and the role of absolute values when summarizing deviation patterns. In GeoGebra, the construction is driven by creating and positioning key points (Point command; objects such as A, B, C, D, E, F, pic1, a, eq1, f, b, G, H, I), which serve as the geometric anchors for the diagram that makes deviation and its aggregation visually accessible. Suitable for late high school through early university statistics courses and classroom demonstrations linking statistical quantities to geometric intuition.