Scatter Plot Investigation: Median, Mean, and Function Fitting

① This GeoGebra example presents an interactive scatter plot that demonstrates the relationship between data point distribution and statistical measures (median, mean) as well as function fitting. ② Core mathematical concepts include scatter plots, correlation, median, mean, trigonometric functions, spheres (possibly for 3D data visualization), and function modeling. ③ Construction details: The commands Sequence, Point, and Sum are used to generate data point sequences, along with grid, horizontal lines (hlines), and vertical lines (vlines) for visual reference; objects include points A through E and their variants (A1-A6, B2-B6, etc.) to represent different data subsets or statistical markers. ④ Suitable for middle school to university-level statistics and function teaching, this example aids in exploring data distribution, central tendency measures, and intuitive understanding of function fitting, and can serve as a teacher demonstration or student self-exploration material.