Problem preview
S-ID.5 Warmup M1-053-A08-V01

Summarize two-category data with two-way tables and interpret joint, marginal, and conditional relative frequencies.

Interpret a marginal relative frequency

Problem

Interpret a \(60\%\) marginal relative frequency for \(P~=~\text{owns}~\text{pets}\). State the required aggregation, numerator group, denominator group, and contextual meaning.

Big Picture

What this problem is really about

A marginal relative frequency collapses the table across the other variable. Add every cell belonging to the named category, use that margin as the numerator and the grand total as the denominator, then interpret the percentage as a share of everyone surveyed regardless of the other category.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
S-ID.5
Category
Statistics and Probability
Domain
Interpreting Categorical and Quantitative Data
Objective
Summarize two-category data with two-way tables and interpret joint, marginal, and conditional relative frequencies.
Problem type
Interpret a marginal relative frequency