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Learning Goal

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Summarize categorical data in two-way frequency tables

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HSS.ID.B.5

**HSS.ID.B.5**: Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.

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HSS.ID.B.5: Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.

What you'll learn

  1. Construct a two-way frequency table from raw paired categorical data, including row totals, column totals, and the grand total
  2. Compute joint, marginal, and conditional relative frequencies and distinguish them by their denominators
  3. Interpret each type of relative frequency as a contextual statement ("out of whom is this a percentage?")
  4. Recognize a possible association between two categorical variables by comparing conditional relative frequency distributions

Slides

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1

Two way tables and relative frequencies

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2

Conditional frequencies and association

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Practice

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