AP Statistics 2.1 A Compare Tabular and Graphical Representations for the Relationship Between Two Categorical Variables Questions

Practise constructing and comparing two-way categorical displays with within-group proportions, then use conditional patterns to assess association in context.

Syllabus
Effective Fall 2026
Course
AP Statistics

Exam points

  • construct segmented or side-by-side bars from conditional proportions calculated within each comparison group
  • compare conditional distributions across groups to describe categorical association without assuming equal counts

AP Statistics 2.1 A Compare Tabular and Graphical Representations for the Relationship Between Two Categorical Variables Questions 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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