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📚AP Statistics
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📚AP Statistics

FRQ 1 – Focus on Exploring Data
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Unit 1: Exploring One-Variable 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 191/19

1. Ms. Vega, an agricultural researcher, is investigating the effect of a new organic fertilizer on the growth of pumpkins. She is interested in comparing the weights of pumpkins grown with the standard fertilizer versus those grown with the new organic fertilizer. To investigate, she selected a random sample of 100 pumpkins grown using the standard fertilizer (Group A) and a random sample of 100 pumpkins grown using the new organic fertilizer (Group B).

Figure 1. Boxplots of Pumpkin Weights (Group A: standard fertilizer; Group B: new organic fertilizer)

Figure 1
A.

Compare the distributions of pumpkin weights for the sample of pumpkins in Group A and the sample of pumpkins in Group B.

B.

For the distribution of pumpkin weights for the sample in Group B, would you expect the mean to be greater than 26 pounds, less than 26 pounds, or equal to 26 pounds? Justify your answer.

C.
i.

Ms. Vega creates a new dataset by combining the weights from the 100 Group A pumpkins and the 100 Group B pumpkins. What is the range of the combined data set? Show your work.

ii.

What is a possible value of the median of the combined data set? Justify your answer by referencing the quartiles shown in the boxplots.

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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.