Learning Goal
Part of: Understand independence and conditional probability and use them to interpret data — 4 of 5 cluster items
Construct and interpret two-way frequency tables
**HSS.CP.A.4**: Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results.
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HSS.CP.A.4: Construct and interpret two-way frequency tables of data when two categories are associated with each object being classified. Use the two-way table as a sample space to decide if events are independent and to approximate conditional probabilities. For example, collect data from a random sample of students in your school on their favorite subject among math, science, and English. Estimate the probability that a randomly selected student from your school will favor science given that the student is in tenth grade. Do the same for other subjects and compare the results.
What you'll learn
- Construct a two-way frequency table from raw bivariate categorical data, including row totals, column totals, and the grand total
- Read joint and marginal frequencies from a two-way table and compute the corresponding probabilities for a randomly selected object
- Use the table as a sample space to approximate conditional probabilities, such as P(favors science | tenth grade), by restricting to a row or column
- Decide whether two categorical events are independent using table-based probabilities (comparing a conditional probability to a marginal, or a joint probability to the product of marginals)
- Interpret and compare conditional probabilities across categories in context, distinguishing association from causation
Slides
Interactive presentations perfect for visual learners • 2 slide decks
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback