Fiveable
📊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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Guided Practice

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.

Why are some FRQs missing?

For this first release, we focused on FRQs that:

  • We already have stimulus materials for (i.e. history/English)
  • Don't require stimulus materials at all
  • Use stimulus that can be generated with AI (like science data sets)

We also skipped FRQs that require audio playback or speaking responses for now.

Our goal is to eventually have practice available for every FRQ type across all AP subjects. We're actively working to add more!

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)

A clean, black-and-white statistical graphic showing two horizontal boxplots (one for Group A and one for Group B) aligned to the same horizontal weight axis. Axes (REQUIRED): - X-axis (horizontal): labeled exactly "Weight (pounds)" centered below the axis. The axis starts at 0 on the far left and ends at 50 on the far right. Tick marks are drawn and labeled at every 5 pounds: 0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. - Y-axis (vertical): labeled exactly "Group" along the left side. The axis starts at 0 at the bottom and ends at 3 at the top. Tick marks are drawn and labeled at increments of 1: 0, 1, 2, 3. - Origin: the bottom-left intersection of the axes is labeled "0" (this is the shared origin point of the axes). - Arrows: arrows on the positive ends of both axes (to the right on the x-axis, upward on the y-axis). Layout / category placement (no ambiguity): - The two boxplots are centered on horizontal guide levels corresponding to the y-axis tick marks: - Group A boxplot is centered exactly on the horizontal level at y=1. - Group B boxplot is centered exactly on the horizontal level at y=2. - Text labels appear to the left of the corresponding boxplots (inside the plotting area, near the y-axis): "Group A" aligned with the y=1 level and "Group B" aligned with the y=2 level. Boxplot drawing rules (explicit): - Each boxplot uses a standard style: a rectangular box from the first quartile (Q1) to the third quartile (Q3); a vertical median line inside the box; whiskers drawn as thin horizontal lines from each box edge to the minimum and maximum non-outlier values; whisker endpoints marked with short vertical caps. - Outliers (only where specified) are drawn as individual solid black dots beyond the whisker caps. Group A (standard fertilizer) — exact five-number summary rendered on the x-axis scale: - Minimum (left whisker cap) placed exactly at 10 pounds. - Left edge of the box (Q1) placed exactly at 15 pounds. - Median line placed exactly at 18 pounds. - Right edge of the box (Q3) placed exactly at 22 pounds. - Maximum (right whisker cap) placed exactly at 28 pounds. - No outlier points are drawn for Group A. Group B (new organic fertilizer) — exact quartiles, whiskers, and outlier: - Minimum (left whisker cap) placed exactly at 16 pounds. - Left edge of the box (Q1) placed exactly at 22 pounds. - Median line placed exactly at 26 pounds. - Right edge of the box (Q3) placed exactly at 30 pounds. - Right whisker cap (largest non-outlier value) placed exactly at 38 pounds. - One outlier is drawn as a single solid black dot placed exactly at 45 pounds on the same horizontal level as the Group B boxplot. - The whisker line for Group B stops at the 38-pound cap and does not extend to 45. Line/shape styling (to prevent mis-rendering): - All box outlines, median lines, whiskers, and caps are solid black. - Median lines are slightly thicker than whiskers. - Boxes have no fill (white interior). - No gridlines. - No additional annotations, legends, or titles inside the plotting area. Critical numeric emphasis for the written question: - Ensure the tick label "26" is clearly printed on the x-axis at the correct position between 25 and 30, so students can visually compare the Group B median at 26 to nearby values. Curve/behavior requirement note: - This figure contains no curves; it consists only of box-and-whisker elements positioned at the exact numeric locations listed above on a linear scale.
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 carefully before 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.