Comparing Mean and Median with Visual Distribution Models

This GeoGebra example demonstrates, through visual constructions, how the mean and the median can differ as the shape of a data distribution changes. It highlights the idea of center of distribution and how skewness or outliers affect different summary statistics. The key math concepts include mean, median, and the robustness of median compared with mean under extreme values and distribution shifts. Construction-wise, the provided setup uses multiple interrelated objects (A, B, C, D, E, F, G, H, I, J, K, L) together with several picture/scene components (pic1–pic6) to present several comparative cases in one coordinated visualization. Each set supports illustrating where the mean-like and median-like central positions lie relative to the overall distribution. Suitable for late secondary school through early undergraduate courses in probability & statistics, especially for lessons on data summaries, skewness, and interpretive reasoning using graphical models.