Florida B.E.S.T. MA.912.DP.3.1
The Standard
Construct a two-way frequency table summarizing bivariate categorical data. Interpret joint and marginal frequencies and determine possible associations in terms of a real-world context.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students organize paired category responses into rows and columns, then calculate cell counts and totals. They interpret what those values mean and compare groups to decide whether the two variables may be associated.
What Mastery Looks Like
- A student places each data pair in the correct cell and calculates accurate row and column totals. The student uses counts or proportions to describe a possible association and explains the result in context without claiming causation.
Common Misconceptions
- Students may confuse interior cell counts with row or column totals. They may compare raw counts when group sizes differ, or claim that an association proves causation.
How to Assess It
- Give students 20 paired responses about lunch choice and grade level. Ask them to build a two-way table, identify one joint frequency and two marginal frequencies, then state whether an association appears.
Lesson moves
Ways to Teach It
Have students survey classmates about transportation and breakfast, record responses on sticky notes, and build a two-way table on poster paper.
Show a table of study location and assignment completion, then ask students to write whether an association appears and cite two values.
Give pairs category cards to sort into a blank table, with one point for each correct cell, total, and interpretation.
Use school club membership and grade-level data to decide which grade should receive targeted club recruitment materials.
Keep exploring
Related Standards
- MA.912.DP.3.5
Solve real-world problems involving univariate and bivariate categorical data.
- MA.912.DP.3.2
Given marginal and conditional relative frequencies, construct a two-way relative frequency table summarizing categorical bivariate data.
- MA.912.DP.3.3
Given a two-way relative frequency table or segmented bar graph summarizing categorical bivariate data, interpret joint, marginal and conditional relative frequ...
- MA.912.DP.4.5
Given a two-way table containing data from a population, interpret the joint and marginal relative frequencies as empirical probabilities and the conditional re...
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