Mathematics (2019) Grade(s): 8

MA19.8.21

Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects, using relative frequencies calculated for rows or columns to describe possible associations between the two variables.

Unpacked Content

Knowledge

Students know:
  • Characteristics of data sets that distinguish categorical data from measurement data.

Skills

Students are able to:
  • Construct two-way tables for categorical data.
  • Find relative frequencies for cells in the two-way tables.
  • Conjecture about patterns of association in the two-way tables and explain the reasoning that leads to the conjecture.

Understanding

Students understand that:
  • organizing categorical data in two-way tables can aid in identifying patterns of association in the data.
  • Relative frequencies, rather than just absolute frequencies, need to be calculated from two-way tables to identify patterns of association.

Vocabulary

  • Two-way table
  • Rows
  • Columns
  • Bivariate categorical data
  • Frequencies
  • Relative frequencies
  • Categorical variables
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