Exercise 9 Solution: Variance, Median, and Pie Chart in a Cube

This example demonstrates how to combine statistical concepts such as variance, median, and random variables with a three-dimensional cube geometry, and visualize the results using a pie chart. The core mathematical concepts include descriptive statistics (variance, median) and the interpretation of statistical graphs. Construction highlights: using GeoGebra commands Segment, Point, Polygon, OrthogonalLine, and Intersect, the cube and its internal auxiliary lines are constructed, involving objects A, B, b, a, c, C, área, c_1, a_1, b_1, d, D, e, f. This helps to intuitively understand statistical calculations through geometric construction. Suitable for high school or early college students learning probability and statistics combined with solid geometry, and useful for teachers demonstrating spatial visualization of statistical concepts.