Mathematics (2019) Grade(s): 09-12 - Algebra I with Probability

MA19.A1.35

Analyze the possible association between two categorical variables.

Unpacked Content

Knowledge

Students know:
  • Characteristics of a two-way frequency table.
  • Methods for converting frequency tables to relative frequency tables.
  • That the sum of the frequencies in a row or a column gives the marginal frequency.
  • Techniques for finding conditional relative frequency.
  • Techniques for finding the joint frequency in table.
  • How to identify possible associations and trends in categorical data.

Skills

Students are able to:
  • Accurately construct frequency tables and segmented bar graphs.
  • Accurately construct relative frequency tables.
  • Accurately find the joint, marginal, and conditional relative frequencies.
  • Recognize and explain possible associations and trends in the data.

Understanding

Students understand that:
  • Two-way frequency tables may be used to represent categorical data.
  • Relative frequency tables show the ratios of the categorical data in terms of joint, marginal, and conditional relative frequencies.
  • Two-way frequency or relative frequency tables may be used to aid in recognizing associations and trends in the data.

Vocabulary

  • Categorical data
  • Two-way frequency Tables
  • Segmented Bar Graphs
  • Relative frequency
  • Joint frequency
  • Marginal frequency
  • Conditional relative frequency
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