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.
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Statistics & Probability: Interpreting Categorical & Quantitative Data
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Summarize, represent, and interpret data on two categorical and quantitative variables. (Algebra 1 - Supporting Cluster) (Algebra 2 - Supporting Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes


  • Item Type(s): This benchmark will be assessed using: TI item(s)
  • Assessment Limits :
    In data with only two categorical variables, items should require the
    student to determine relative frequencies and use the frequencies
    to complete the table or to answer questions
  • Calculator :


  • Clarification :
    Students will create or complete a two-way frequency table to
    summarize categorical data.

    Students will determine if associations/trends are appropriate for
    the data.

    Students will interpret data displayed in a two-way frequency table.

    Students will calculate joint, marginal, and conditional relative

  • Stimulus Attributes :
    Items should use real-world data and be set in a real-world context.
  • Response Attributes :
    Items may require the student to apply the basic modeling cycle.

    Items may require the student to choose an appropriate level of

    Items may require the student to choose and interpret units.


  • Test Item #: Sample Item 1
  • Question:

    A high school drama teacher organizes a musical production. He wants to record the number of students involved in each part of the production . He uses a two-way table to display the data.

    The drama teacher knows that approximately 55% more girls participate in the production as actors than as stage crew members.

    Complete the two-way table to show a possible breakdown of students.

  • Difficulty: N/A
  • Type: TI: Table Item