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.
What fraction of rural respondents own an SUV?
| Car Type | Urban | Rural | TOTAL |
|---|---|---|---|
| Sedan | 50 | 30 | 80 |
| SUV | 40 | 50 | 90 |
| Truck | 10 | 20 | 30 |
| TOTAL | 100 | 100 | 200 |
What fraction of rural respondents own an SUV?
Researchers surveyed public support for renewable energy.
What fraction of conservatives oppose renewable energy?
| Ideology | Support | Oppose | TOTAL |
|---|---|---|---|
| Liberal | 70 | 10 | 80 |
| Conservative | 50 | 30 | 80 |
| Moderate | 40 | 20 | 60 |
| TOTAL | 160 | 60 | 220 |
What fraction of conservatives oppose renewable energy?
A nutritional survey measured daily fruit intake.
What fraction of the total sample eat 3 or more servings daily?
| Intake | Male | Female | TOTAL |
|---|---|---|---|
| 0 servings | 20 | 15 | 35 |
| 1–2 servings | 50 | 60 | 110 |
| 3+ servings | 30 | 25 | 55 |
| TOTAL | 100 | 100 | 200 |
What fraction of the total sample eat 3 or more servings daily?
Khan Academy ResourcesConditional distributions and relationshipsCreate two-way frequency tablesInterpret two-way tablesRead two-way frequency tablesConditional distributionsIdentify marginal and conditional distributionsMarginal distributionsAnalyze two-way frequency tablesTwo-way frequency tables and Venn diagramsMarginal and conditional distributionsInterpreting two-way tablesTwo-way relative frequency tables

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