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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 1Exploring Data1, 2Tests describing/analyzing data (distributions, scatterplots, correlation)
FRQ 2Sampling & Experimental Design3 onlyTests designing studies, identifying bias, randomization - all Unit 3 content
FRQ 3Probability & Sampling Distributions4, 5Tests probability calculations, expected value, sampling distributions
FRQ 4Inference6, 7, 8, 9Tests hypothesis tests and confidence intervals - each unit covers a different inference type
FRQ 5Multi-FocusAllCombines multiple skills across units in one integrated question
FRQ 6Investigative TaskAllOpen-ended investigation that can draw from any content

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 state wildlife conservation agency is studying the Eastern Box Turtle population in a large state park. The agency wants to estimate the average shell thickness, measured in millimeters (mm), of all adult Eastern Box Turtles in the park.

A.

The agency initially proposes the following investigative question: "Are the turtles healthy?"

Refine this investigative question so that it clearly identifies the population, the variable of interest, and can be answered using statistical data collection and analysis.

B.

To collect data, a researcher proposes capturing the first 40 adult turtles found near the park's main visitor center on a Saturday morning.

Identify the sampling method proposed. Identify a potential source of bias with this method and explain how this bias could affect the estimate of the mean shell thickness of adult Eastern Box Turtles in the park.

C.

A second researcher proposes using a stratified random sampling method instead. The park is divided into three distinct ecological zones: wetlands, dense forest, and open meadows.

Describe how the researcher could select a stratified random sample of 120 adult turtles using these three zones.

D.

The agency successfully collects a random sample of adult turtles. The mean shell thickness for this sample is 4.2 mm with a standard deviation of 0.6 mm. The distribution of shell thicknesses is approximately symmetric.

One turtle in the sample had a shell thickness of 2.7 mm. Calculate the zzz-score for this turtle's shell thickness and interpret it in context. Based on the calculated zzz-score, is this shell thickness considered an outlier? Justify your answer.

E.

In a separate study, the agency has 60 adult Eastern Box Turtles in a controlled rehabilitation facility. The researchers randomly assign 30 turtles to receive a calcium-enriched diet and 30 turtles to receive a standard diet for six months. At the end of the study, the calcium-enriched group had a significantly greater mean shell thickness.

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

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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.