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
Here is a table giving the number of neighborhood adults by bike usage and helmet use:
Find the marginal distribution of bike usage in counts.
Rides bike =
| Helmet use | Rides bike | Does not ride bike |
|---|---|---|
| Always | 45 | 10 |
| Not always | 15 | 30 |
Find the marginal distribution of bike usage in counts.
Rides bike =
Here is a table giving the number of neighborhood adults by bike usage and helmet use:
Find the marginal distribution of bike usage in counts.
Does not ride bike =
| Helmet use | Rides bike | Does not ride bike |
|---|---|---|
| Always | 45 | 10 |
| Not always | 15 | 30 |
Find the marginal distribution of bike usage in counts.
Does not ride bike =
Here is a table classifying 360 employees by department and work location:
Find the marginal distribution of department in counts.
Sales =
| Department | Remote | On-site |
|---|---|---|
| Sales | 40 | 60 |
| Engineering | 85 | 55 |
| Support | 20 | 100 |
Find the marginal distribution of department in counts.
Sales =
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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