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AP Statistics 2.1: Comparing Categorical Graphs

Compare two categorical variables with two-way tables, segmented bar charts, and mosaic plots to assess differences and possible association.

Syllabus
Effective Fall 2025
Course
AP Statistics

2.1.A—Compare tabular and graphical representations for the relationship between two categorical variables question 1

A local elementary school decided to sell bottles printed with the school district's logo as a fund-raiser. The students in the elementary school were asked to sell bottles in three different sizes (small, medium, and large). The relative frequencies of the number of bottles sold for each size by the elementary school were 0.5 for small bottles, 0.3 for medium bottles, and 0.2 for large bottles.
A local middle school also decided to sell bottles as a fund-raiser, using the same three sizes (small, medium, and large). The middle school students sold three times the number of bottles that the elementary school students sold. For the middle school students, the proportion of bottles sold was equal for all three sizes.

Complete the segmented bar graphs representing the relative frequencies of the number of bottles sold for each size by students at each school.

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