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AP Statistics practice questions

Original, AI-authored English practice with worked guidance. Selected topics only; independent teacher review is pending. This is not a complete syllabus, official past-paper collection or predicted exam score. SubjectScout is not affiliated with or endorsed by College Board. SAT practice is not a full adaptive test; AP practice does not simulate an entire exam.

10 original questions across 5 selected topic areas. No account or payment required to practise.

Official AP framework reference (framework only, not a source of copied questions).

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Question 1 · Unit 1: Exploring One-Variable Data and Collecting Data · foundation
Five recorded wait times, in minutes, are 3, 4, 7, 8, and 28. What is their median?
Question 2 · Unit 1: Exploring One-Variable Data and Collecting Data · standard
Researchers randomly assign 80 volunteers to a new study method or a comparison method. Why does random assignment strengthen a causal comparison of the methods?
Question 3 · Unit 2: Probability, Random Variables, and Probability Distributions · standard
Each of four independent sensors detects a signal with probability 0.80. What is the probability that exactly three detect it?
Question 4 · Unit 2: Probability, Random Variables, and Probability Distributions · foundation
Of 60 club members, 24 cycle to meetings. Of those 24 cyclists, 18 wear helmets. One member is selected uniformly at random. Given that the selected member cycles, what is the probability they wear a helmet?
Question 5 · Unit 3: Inference for Categorical Data: Proportions · standard
In a simple random sample of 400 voters from a population of 100,000, 240 support a proposal. Using z* = 1.96 and the one-proportion z interval, what is the approximate 95% confidence interval for the population support proportion?
Question 6 · Unit 3: Inference for Categorical Data: Proportions · challenge
A simple random sample of 100 independent observations from a very large population has 62 successes. To test H0: p = 0.50 against Ha: p > 0.50 using a one-proportion z test, what is the test statistic?
Question 7 · Unit 4: Inference for Quantitative Data: Means · standard
A simple random sample of 16 independent observations from a normal population has sample mean 52 and sample standard deviation 8. To test H0: mu = 48 with a one-sample t test, what is the test statistic?
Question 8 · Unit 5: Regression Analysis · standard
A least-squares line predicts delivery time y in minutes from distance x in kilometers: y-hat = 12 + 3x. A delivery at x = 6 has observed time 35 minutes. What is its residual?
Question 9 · Unit 1: Exploring One-Variable Data and Collecting Data · standard
A college wants to estimate the mean one-way commute time, in minutes, for all students enrolled this term using a random sample. Commute times vary among students. Which investigative question best matches this purpose?
Question 10 · Unit 1: Exploring One-Variable Data and Collecting Data · challenge
Before collecting data, a researcher plans to randomly sample seedlings of one species from a nursery's current stock, then randomly assign them to fertilizer or no fertilizer under otherwise matched conditions. The stated purpose is to test whether fertilizer increases the population mean 14-day height gain, measured in centimeters, for that nursery stock. Which investigative question matches this purpose?

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