GEO.S-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.

Example Problems
The frequency table shows how many cups of coffee employees drank at work:

Cups of CoffeeNumber of Employees
02
16
24
32
41


Which number of cups was least common?
The frequency table shows the number of hours students practiced piano:

Practice HoursNumber of Students
04
13
25
32
41


How many students practiced at least 2 hours?
The frequency table shows the number of miles each runner completed during training:

Miles RunNumber of Runners
21
43
64
82
101


How many runners ran fewer than 6 miles?
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