Open Middle Box Plots

This GeoGebra example demonstrates an interactive box plot construction based on an 'Open Middle' task, where students input their own data values to explore statistical properties. The core mathematical concepts include the five-number summary (minimum, first quartile Q1, median, third quartile Q3, maximum), interquartile range (IQR), range, and the rules for drawing box plots. The construction uses GeoGebra commands such as Textfield to create editable input boxes, Remove to clear previous objects, and BoxPlot to dynamically generate the box plot from user-entered data. Key objects include quartile variables q0, q1, q2, q4, q3, statistical measures Min, Q1, Median, Q3, Max, IQR, range, a numbers list, data list l1, and text1 for displaying prompts or results. This resource is suitable for middle or high school statistics lessons, particularly for inquiry-based learning or classroom activities, helping students understand data distribution and the relationship between box plot components while fostering data analysis and critical thinking skills.