PS.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
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 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

1-on-1 AI tutoring aligned to PS.SPID.5. Instant help for students, real-time insights for teachers.
Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.
Free for teachers, forever →