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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 academic success center is evaluating the effectiveness of a new peer-tutoring program for first-year calculus students.

Summary Statistics for Final Exam Scores

Minimum

First Quartile (Q1Q_1Q1​)

Median

Third Quartile (Q3Q_3Q3​)

Maximum

32

66

75

84

99

A.

The center initially proposes the following investigative question: "Do students like the new tutoring program?"

Explain why this is not an appropriate investigative question for evaluating the program's academic effectiveness, and provide a refined investigative question that focuses on a quantitative variable.

B.

To gather initial feedback, the center sets up a table outside the library on a Friday afternoon and asks the first 505050 first-year calculus students who walk by to report their current course grade.

Identify the sampling method used. Describe a potential source of bias in this method and explain how this bias could affect the estimate of the average course grade for all first-year calculus students.

C.

Recognizing the flaw in their initial plan, the center obtains a simple random sample of 606060 first-year calculus students. The summary statistics for the final exam scores of these 606060 students are shown in Table 1.

Determine if there are any potential outliers in the sample. Justify your answer using an appropriate statistical calculation.

D.

In a separate study, the center recruited 100100100 first-year calculus students who volunteered to participate in an experiment. The researchers randomly assigned 505050 students to attend the new peer-tutoring program twice a week and 505050 students to use a standard independent study module. At the end of the semester, the peer-tutoring group had a significantly higher mean final exam score.

To what population can the results of this experiment be generalized? Justify your answer.

Timed

00:00

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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.