S-ID.B.5

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.

Example Problems
A survey recorded car ownership across different regions.

Car TypeUrbanRuralTOTAL
Sedan503080
SUV405090
Truck102030
TOTAL100100200


What fraction of
rural respondents own an SUV?
Researchers surveyed public support for renewable energy.

IdeologySupportOpposeTOTAL
Liberal701080
Conservative503080
Moderate402060
TOTAL16060220


What
fraction of conservatives oppose renewable energy?
A nutritional survey measured daily fruit intake.

IntakeMaleFemaleTOTAL
0 servings201535
1–2 servings5060110
3+ servings302555
TOTAL100100200


What fraction of the total sample eat
3 or more servings daily?
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