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📊AP Statistics
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📊AP Statistics

FRQ 1 – Multi-Focus on Practices 1 and 2
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Unit 1: Exploring One-Variable Data and Collecting Data
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AP Stats FRQ Types & Units

Each FRQ type tests specific skills taught in particular units. Here's why certain units appear for each question type:

FRQFocusUnitsWhy
FRQ 1Multi-Focus on Practices 1 and 21Tests formulating an investigative question and collecting data (sampling, experimental design)
FRQ 2Multi-Focus on Practices 3 and 41, 2, 5Tests analyzing data and interpreting results — graphs, summary statistics, probability, regression output
FRQ 3Inference3, 4One complete inference procedure — a hypothesis test or confidence interval for proportions or means
FRQ 4Multi-Focus on Practices 2, 3, and 4AllCombines content areas across the course, assessing collecting, analyzing, and interpreting together

This mapping reflects College Board's exam structure - each FRQ type tests specific skills that are taught in particular units.

Practice FRQ 1 of 111/11

1. A university cognitive psychology department is investigating the sleep habits and behaviors of its undergraduate students.

A.

The department initially proposes the following investigative question: "Do students get enough sleep?"

Identify one flaw in this investigative question and state a refined investigative question that addresses the flaw and focuses on a quantitative variable.

B.

To collect data, a researcher posts a survey link on a popular social media page for university students, asking them to report their average nightly sleep duration. The first 100100100 students who respond are used for the sample.

Identify the sampling method used. Describe a potential source of bias in this sampling method and explain how this bias could affect the estimate of the average nightly sleep duration for all undergraduate students at the university.

C.

Recognizing the flaw in their initial plan, the department decides to obtain a simple random sample of n=50n = 50n=50 undergraduate students. The mean sleep duration for this sample is 6.86.86.8 hours with a standard deviation of 1.21.21.2 hours. The distribution of sleep durations is approximately symmetric.

One student in the sample reported a sleep duration of 3.53.53.5 hours. Calculate the zzz-score for this student's sleep duration and interpret it in context. Based on the calculated zzz-score, is this sleep duration considered an outlier? Justify your answer.

D.

In a separate study, the department recruited 808080 undergraduate volunteers who reported poor sleep quality. The researchers randomly assigned 404040 volunteers to a "no screen time before bed" group and 404040 volunteers to continue their normal screen habits. After two weeks, the "no screen time" group had a significantly higher mean sleep duration.

To what population can the results of this experiment be generalized? Can the department conclude that the lack of screen time caused the increase in sleep duration? Justify your answers.

Timed

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FRQ Directions
Free Response Question Practice

This practice environment simulates the AP AP Statistics Free Response Questions section. Here are some guidelines:

  • Read each question carefullybefore responding. Pay attention to command verbs like "identify," "explain," "analyze," or "evaluate."
  • Use the timer to practice time management. You can pause, restart, or hide the timer as needed.
  • Mark for Review if you want to come back to a question later.
  • Your responses are saved automatically as you type. You can also use the drawing tool for questions that require diagrams or graphs.
  • Use the toolbar for formatting options like bold, italic, subscript, and superscript.
  • Navigate between questions using the Previous and Next buttons at the bottom of the screen.

Tip: Answer all parts of each question. Partial credit is often available, so even if you are unsure, provide what you know.