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Section 4.3.1 2-Way Tables and Marginal Distributions

Section 4.3.1 2-Way Tables and Marginal Distributions. AP Statistics www.toddfadoir.com/apstats. What about Categorical Data?. Whenever we have looked at data so far, it has quantitative vs. quantitative What tools do we use if we are faced with categorical data?. 2-Way Tables.

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Section 4.3.1 2-Way Tables and Marginal Distributions

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  1. Section 4.3.12-Way Tables and Marginal Distributions AP Statistics www.toddfadoir.com/apstats

  2. What about Categorical Data? • Whenever we have looked at data so far, it has quantitative vs. quantitative • What tools do we use if we are faced with categorical data? AP Statistics, Section 4.3, Part 1

  3. 2-Way Tables • First, think of data where each member of the distribution belongs to only one category. • Education Level: • Did not complete high school • Completed high school • 1 to 3 years of college • 4 or more years of college AP Statistics, Section 4.3, Part 1

  4. 2-Way Tables • First, think of data where the member of the distribution belong to only category. • Age: • 25 to 34 years • 35 to 54 years • 55+ years AP Statistics, Section 4.3, Part 1

  5. Each number represents a “count”, or the number of data points that meet the criteria Sample 2-Way Table Education is considered “row variables” Age is considered “column variables” AP Statistics, Section 4.3, Part 1

  6. Calculating Marginal Distributions • When we do a marginal distribution, we only look at totals (the values found on the right margin or bottom margin) • In marginal distributions, we divide by “Grand Total” AP Statistics, Section 4.3, Part 1

  7. Calculating Marginal Distributions AP Statistics, Section 4.3, Part 1

  8. Calculating Marginal Distributions AP Statistics, Section 4.3, Part 1

  9. Graph of Marginal Distribution AP Statistics, Section 4.3, Part 1

  10. Assignment • Exercises: 4.50-4.55 AP Statistics, Section 4.3, Part 1

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