Georgia 7.PR.6.6
The Standard
Use appropriate graphical displays and numerical summaries from data distributions with categorical or quantitative (numerical) variables as probability models to draw informal inferences about two samples or populations.
Georgia's K-12 Mathematics Standards · Using mathematical reasoning, investigate chance processes and develop, evaluate, and use probability models to find probabilities of simple events presented in authentic situations.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use sample data as a model for likely outcomes in two larger groups. They choose suitable graphs and summaries, compare the distributions, and make a supported informal inference.
What Mastery Looks Like
- Students select a useful graph, calculate relative frequencies or numerical summaries, and compare two samples. They make a reasonable claim about the populations and support it with specific evidence while recognizing sample uncertainty.
Common Misconceptions
- Students may compare sample counts without accounting for different sample sizes. They may treat a small sample as certain proof, or compare only the highest value while ignoring center, spread, and overlap.
How to Assess It
- Give students Route A times of 12, 13, 13, 14, 15 minutes and Route B times of 10, 12, 15, 17, 21 minutes. Ask them to graph both samples, estimate each route's probability of taking under 15 minutes, and state one supported inference.
Lesson moves
Ways to Teach It
Students draw 20 cubes with replacement from each of two hidden bags, graph color frequencies, and infer which bag favors blue.
Show two box plots of commute times and ask, “Which population is more likely to arrive within 20 minutes? Defend your claim.”
Teams match dot plots, five-number summaries, and inference cards, earning a point only when every match is justified.
Compare lunch survey samples from two grades, using relative-frequency bar graphs to predict which menu item each grade would choose.
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Printable 7.PR.6.6 Worksheet
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