AP Statistics — Practice Questions flashcards
6 of 60 questions free to study here · 5 topics · the whole deck is built into Willys
Multiple-choice practice questions, one best answer each, on distributions, regression, study design, probability, sampling distributions, confidence intervals, tests, errors and power, tagged by unit of the AP Statistics Course and Exam Description effective Fall 2026.
Practice deck · part of AP Statistics · written against: College Board AP Statistics Course and Exam Description effective Fall 2026 (five units; first exam May 2027); cards on topics it removed or does not name are kept as background and say so. Updated 2026-10-10.
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A random sample of 80 workers' one-way commute times has a mean of 34 minutes and a median of 26 minutes. Which description of the shape of the distribution is most consistent with these summaries?
A) Uniform, with all commute lengths equally common
B) Roughly symmetric, with no unusual commutes
C) Skewed left, with a tail toward short commutes
D) Skewed right, with a tail toward long commutesD) Skewed right, with a tail toward long commutesExploring One-Variable Data and Collecting Data
A mean well above the median signals a long right tail of large values pulling the mean up. A left-skewed distribution would usually put the mean below the median. -
Two classes took the same test. Class A: median 78, IQR 10, no outliers. Class B: median 78, IQR 22, one low outlier. Which statement is a correct comparison?
A) Class A's scores vary more because it has no outliers
B) Class B has a lower center because of its low outlier
C) The classes cannot be compared because B has an outlier
D) The centers are similar, but Class B's scores vary moreD) The centers are similar, but Class B's scores vary moreExploring One-Variable Data and Collecting Data
Equal medians mean similar centers, and Class B's larger IQR means more spread. The median is resistant, so one low outlier does not lower Class B's center. -
Battery lifetimes are approximately normal with mean 500 hours and standard deviation 40 hours. About what proportion of batteries last longer than 550 hours?
A) 0.106
B) 0.159
C) 0.211
D) 0.894A) 0.106Probability Random Variables and Probability Distributions
z = (550 − 500)/40 = 1.25, and the area above z = 1.25 is about 0.106. 0.894 is the area below 550 hours, not above it. -
A regression of monthly electric bill (dollars) on home size (hundreds of square feet) gives . Which is the correct interpretation of the slope?
A) Each extra 100 sq ft raises the predicted bill about 18 dollars
B) Every home's bill is exactly 4.5 dollars higher per 100 sq ft
C) Each extra dollar of bill adds about 450 sq ft of home size
D) Each extra 100 sq ft raises the predicted bill about 4.5 dollarsD) Each extra 100 sq ft raises the predicted bill about 4.5 dollarsRegression Analysis
The slope is the change in the predicted response per one-unit increase in x, here 100 square feet. It describes the model's predictions, not an exact rise for every home, and 18 is the intercept. -
In a large population, 40% of adults have a library card. For random samples of 150 adults, which describes the sampling distribution of ?
A) Skewed right, mean 0.40, standard deviation 0.04
B) Approximately normal, mean 0.40, standard deviation 0.04
C) Approximately normal, mean 60, standard deviation 0.04
D) Approximately normal, mean 0.40, standard deviation 0.0016B) Approximately normal, mean 0.40, standard deviation 0.04Inference for Categorical Data Proportions
Large Counts holds (150 × 0.4 = 60 and 150 × 0.6 = 90), the mean is p = 0.40, and the SD is . 0.0016 is the variance, not the standard deviation. -
Waiting times at a clinic are strongly skewed right with mean 8 minutes and standard deviation 6 minutes. For random samples of 36 waiting times, which describes the sampling distribution of ?
A) Strongly skewed right, mean 8 minutes, SD 6 minutes
B) Approximately normal, mean 8 minutes, SD 1 minute
C) Strongly skewed right, mean 8 minutes, SD 1 minute
D) Approximately normal, mean 8 minutes, SD 6 minutesB) Approximately normal, mean 8 minutes, SD 1 minuteInference for Quantitative Data Means
With n = 36, the central limit theorem makes approximately normal, centered at 8 with SD . An SD of 6 describes individual waiting times, not sample means.
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About these cards
Review status: Second-reader reviewed, with corrections applied.
Checked against:
- Topic outline follows the College Board AP Statistics Course and Exam Description effective Fall 2026 (first exam May 2027), each question tagged to its unit; questions on topics that course removed or does not name are kept as background and say so. The AP name is used nominatively and no course or exam text is reproduced.
- OpenStax Introductory Statistics 2e, consulted as a reference; no text copied.
- Every numerical answer was recomputed by script.
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