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AP® Statistics · Unit 2 · Topic 2.2

Summary Statistics for Two Categorical Variables: Topic Checklist (Statistics 2.2)

Specific “I can…” statements for joint, marginal and conditional relative frequencies and association, each linked to the guide section and practice question that tests it.

Work through the list without notes. If you cannot do a statement, follow its link, then come back. Guide = study guide; Practice = practice questions.

Understanding

  • I can explain the difference between a joint, a marginal and a conditional relative frequency. (Guide: “From pictures to numbers”; Practice Q4)
  • I can explain why the same cell gives different conditional relative frequencies when I restrict to its row or to its column. (Guide: “Conditional relative frequencies”; Practice Q2, Q7)
  • I can explain what a conditional distribution is and why it adds to 1. (Guide: “Conditional distributions and association”)
  • I can explain what “no association” means in terms of conditional distributions. (Guide: “Conditional distributions and association”; Practice Q3)

Calculation

  • I can calculate a joint relative frequency and a marginal relative frequency from a two-way table. (Guide: Worked example 1; Practice Q1, Q4)
  • I can find the right denominator for a conditional relative frequency from the wording of a question. (Guide: Worked example 1; Practice Q2, Q4)
  • I can build a two-way table of counts from percentages, then calculate relative frequencies from it. (Practice Q6)
  • I can use joint = marginal × conditional to check my work. (Guide: “Conditional relative frequencies”)

Reasoning

  • I can compare conditional distributions to decide whether two categorical variables are associated, quoting values. (Guide: Worked example 2; Practice Q5, Q7)
  • I can spot and correct a claim that swaps the direction of a conditional relative frequency. (Practice Q7)
  • I can judge “most”, “more popular” and “more than its share” claims with the correct relative frequency. (Guide: Worked example 2; Practice Q6)
  • I can explain why an association in observational data does not show cause and effect. (Practice Q5, Q7)

All ticked? Move on to the Topic 2.3 study guide, Estimating Probabilities Using Simulation, or return to the course roadmap.

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