FA.SPID.5
Analyze bivariate categorical data using two-way tables and identify possible associations between the two categories using marginal, joint, and conditional frequencies.
Example Problems
The frequency table shows how many cups of coffee employees drank at work:
Which number of cups was least common?
| Cups of Coffee | Number of Employees |
|---|---|
| 0 | 2 |
| 1 | 6 |
| 2 | 4 |
| 3 | 2 |
| 4 | 1 |
Which number of cups was least common?
The frequency table shows the number of hours students practiced piano:
How many students practiced at least 2 hours?
| Practice Hours | Number of Students |
|---|---|
| 0 | 4 |
| 1 | 3 |
| 2 | 5 |
| 3 | 2 |
| 4 | 1 |
How many students practiced at least 2 hours?
The frequency table shows the number of miles each runner completed during training:
How many runners ran fewer than 6 miles?
| Miles Run | Number of Runners |
|---|---|
| 2 | 1 |
| 4 | 3 |
| 6 | 4 |
| 8 | 2 |
| 10 | 1 |
How many runners ran fewer than 6 miles?
Khan Academy ResourcesConditional probability and independenceConditional probability using two-way tablesConditional 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 diagramsConditional probability and independenceMarginal and conditional distributionsInterpreting two-way tablesTwo-way relative frequency tables

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