Two-Way Tables

Learn and apply two-way tables using equations, examples, and interpretation.

Lesson 3 of 53 parts Practice Flashcards

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Joint Counts

Objective: Explain and use joint counts in an Algebra 1 problem.

A cell in a two-way table counts observations satisfying both its row and column categories. No, they satisfy both labels.

Worked examples

Try itExample 1.1: If a table has 3 in group A and 16 in group B, how many are in both groups combined?Show answer

19. Add the counts from the two disjoint groups. The answer is 19.

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Joint Counts

Objective: Explain and use joint counts in an Algebra 1 problem.

A cell in a two-way table counts observations satisfying both its row and column categories. No, they satisfy both labels.

Worked examples

Try itExample 1.1: If a table has 3 in group A and 16 in group B, how many are in both groups combined?Show answer

19. Add the counts from the two disjoint groups. The answer is 19.

Marginal Totals

Objective: Explain and use marginal totals in an Algebra 1 problem.

Row and column totals summarize one category at a time; the grand total counts all observations once. Each observation belongs to one row category in the table.

Worked examples

Try itExample 2.1: If a table has 4 in group A and 26 in group B, how many are in both groups combined?Show answer

30. Add the counts from the two disjoint groups. The answer is 30.

Conditional Relative Frequency

Objective: Explain and use conditional relative frequency in an Algebra 1 problem.

Divide a cell count by its row or column total according to the condition; different denominators answer different questions. It defines which group the percentage describes.

Worked examples

Try itExample 3.1: 2 of 38 students prefer one option. What fraction prefer it?Show answer

1/19. Divide the selected group count by the combined total. The answer is 1/19.

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