options: Understand independence and conditional probability and use them to interpret data.

Use random sampling to draw inferences about a population.

Summarize and describe distributions.

Make inferences and justify conclusions from sample surveys, experiments, and observational studies.

Understand and evaluate random processes underlying statistical experiments.

Use probability to evaluate outcomes of decisions.

Draw informal comparative inferences about two populations.

Investigate patterns of association in bivariate data.

Use the rules of probability to compute probabilities of compound events in a uniform probability model.

Investigate chance processes and develop, use, and evaluate probability models.

Develop understanding of statistical variability.

Summarize, represent, and interpret data on a single count or measurement variable.

Calculate expected values and use them to solve problems.

Summarize, represent, and interpret data on two categorical and quantitative variables.

Interpret linear models.
problem_activity: Warm-up
The purpose of this warm-up is to reinforce the distinction between statistical and non-statistical questions. Students write a statistical question and articulate why it qualifies as statistical. Students’ explanations should focus on the variability in the data used to answer the question. The context will be used again in the next activity, so this also gets students familiar with the object.
Launch
Arrange students in groups of 3–4. Give students 1 minute of quiet work time. Then, tell students to share their question and reasoning within their group. Tell the groups to decide if each question is statistical or non-statistical. If the group disagrees, discuss the question further and revise it until an agreement is reached.
Student Facing
Clare collects bottle caps and keeps them in plastic containers.
[IMG]
Write one statistical question that someone could ask Clare about her collection. Be prepared to explain your reasoning.
Student Response
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Activity Synthesis
The purpose of the discussion is to ensure students are comfortable constructing statistical and non-statistical questions.
Ask students to share their statistical questions and reasoning. If possible, ask students to refer back to the image as they share. Record and display their responses for all to see.
To involve more students in the conversation, consider asking some of the following questions:
“Were there any questions your group had in common?”
“Were there any questions your group could not agree were statistical? Why?”
“Were there any questions your group decided were non-statistical? What made that question non-statistical?”


correct_option_index: 10