Exploring Distributions with Histograms and Box Plots

This example demonstrates how to visualize the distribution of randomly generated data using both a histogram and a box plot, and how to compare spread and central tendency at a glance. It focuses on core probability and statistics ideas: frequency distributions (histograms) and descriptive summaries via the five-number summary (Min, Q1, Median, Q3, Max). The construction uses GeoGebra commands such as Random to generate sample data, CountIf to count observations in each bin, and Sum to accumulate totals; Histogram then renders the frequency plot. In parallel, BoxPlot creates the box-and-whisker display, while Median, Q1, Q3, Min, and Max compute the key statistics that position the box and whiskers. Text objects annotate these values, and interactive controls (e.g., a button and related parameters) allow the user to resample and observe how the plots update. Suitable for high school advanced statistics and early undergraduate coursework, as well as classroom demonstrations and student explorations.