Lesson 2: Two Way Tables

How can bivariate categorical data be analyzed and displayed in a two-way table?  

How do frequencies and relative frequencies help us identify patterns of association between two categorical variables?  

What evidence in a two-way relative frequency table suggests that a certain behavior or trait is associated with another?

Two-Way Table: A table summarizing data on two categorical variables.  

Categorical Variable: A variable that can be put into categories based on a non-numeric characteristic (e.g., chores vs. no chores).  

Frequency: The number of times a particular value occurs in the data.  

Relative Frequency: The ratio of the frequency of a category to the total number of observations.  

Two-Way Relative Frequency Table: A table that uses relative frequencies to show the association between variables.

8.SP.A.4: Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table.  

Target J (Supporting): The student constructs and interprets a two-way table summarizing data on two categorical variables collected from the same subjects, and uses relative frequencies to describe possible associations between the two variables.

Description: In this lesson, students will transition from measurement data (scatter plots) to categorical data. They will use class-collected data to build tables and perform relative frequency calculations to see if evidence of an association exists.  

Purpose: To provide students with tools to analyze non-numerical relationships and draw conclusions about habits, tendencies, or characteristics within a population.  

DOK Level: Level 2 (Skill/Concept) - Constructing tables and calculating frequencies; Level 3 (Strategic Thinking) - Interpreting associations and explaining evidence

Support: Use student notes for guided practice.
Engagement: Use activities for interactive learning.

Activity Based Assessments

Table Completions

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