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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. Dr. Quinn Rivera, a food scientist at a large agricultural research center, is investigating the sugar content in grams of two varieties of apples, Honeycrisp and Gala. Dr. Rivera is interested in determining if there is a significant difference in the sugar profiles of the two varieties to advise local cider producers. To conduct the study, Dr. Rivera selected a random sample of 50 Honeycrisp apples and a random sample of 50 Gala apples from a large orchard harvest. The sugar content for each apple was measured in grams.

Figure 1. Sugar Content of Honeycrisp and Gala Apples (horizontal boxplots, grams)

A clean, black-and-white statistical graphic consisting of two horizontal boxplots sharing one common x-axis. Axes (REQUIRED): - X-axis: a horizontal number line labeled exactly "Sugar Content (grams)" centered beneath the axis. The x-axis runs from 5 to 30. Tick marks occur every 1 gram, and EVERY integer tick is labeled: 5, 6, 7, …, 29, 30. The tick label "18" must be clearly visible (since the question references 18 grams). - Y-axis: a vertical axis labeled exactly "Apple variety". The y-axis runs from 0 to 3 with tick marks every 1 unit and labeled ticks at 0, 1, 2, 3. - Origin: the intersection of the axes is at the lower-left corner of the plotting region and is labeled "0". - Arrows: arrows on the positive ends of both axes (to the right end of the x-axis and the top end of the y-axis). Overall layout and placement (no ambiguity): - Two boxplots are drawn parallel to the x-axis. - The Honeycrisp boxplot is the TOP boxplot, centered horizontally, located at the y-axis tick level labeled "2". - The Gala boxplot is the BOTTOM boxplot, centered horizontally, located at the y-axis tick level labeled "1". - To the left of each boxplot (near the y-axis), include category text labels aligned with each boxplot’s centerline: "Honeycrisp" aligned with the upper boxplot and "Gala" aligned with the lower boxplot. Boxplot drawing rules (critical constraints, exact five-number summaries): - Use standard modified boxplot conventions: a rectangular box from the first quartile to the third quartile; a vertical line inside the box for the median; whiskers as horizontal line segments extending from each end of the box to the minimum and maximum values, EXCEPT that outliers are plotted as separate points beyond whiskers. - Line style: all box edges, whiskers, and median lines are solid black, uniform medium stroke. - End caps: at each whisker endpoint, draw a short vertical end-cap line. TOP boxplot: Honeycrisp (exactly these locations on the x-axis): - Left whisker endpoint (minimum) is exactly at 8 grams. - Left edge of the box (Q1) is exactly at 10 grams. - Median line is exactly at 12 grams. - Right edge of the box (Q3) is exactly at 14 grams. - Right whisker endpoint (maximum) is exactly at 16 grams. - No outlier markers anywhere for Honeycrisp. BOTTOM boxplot: Gala (exactly these locations on the x-axis, with an outlier rule applied): - Left whisker endpoint (minimum) is exactly at 14 grams. - Left edge of the box (Q1) is exactly at 16 grams. - Median line is exactly at 18 grams. - Right edge of the box (Q3) is exactly at 20 grams. - The right whisker endpoint stops exactly at 21 grams (the largest non-outlier value). - A single outlier is plotted as an open circle exactly at 28 grams, horizontally aligned with the Gala boxplot’s centerline. - No other outliers are shown. Visual emphasis for skew (must match the numeric structure): - The Gala right whisker (from 20 to 21) is short and the outlier at 28 is far to the right, creating a clearly right-skewed appearance. - The Honeycrisp whiskers are equal length (from 8 to 10 on the left and from 14 to 16 on the right), and the median is centered in the box (12 is midway between 10 and 14), producing a symmetric look. No extras: - No grid lines. - No legend. - No additional annotations besides the axis labels, numeric tick labels, and the two category labels "Honeycrisp" and "Gala". - No title inside the plot area (caption is external only).
A. Compare the distributions of sugar content for the sample of Honeycrisp apples and the sample of Gala apples.
B. For the distribution of sugar content for the sample of Gala apples, would you expect the mean to be greater than 18 grams, less than 18 grams, or equal to 18 grams? Justify your answer.
C.
i. What is the range of the combined data set consisting of all 100 apples? Show your work.
ii. What is a possible value of the median of the combined data set? Justify your answer by referencing the quartiles or counts from the boxplots shown.
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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.