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AP Statistics Past Papers & Drilling: Mean, SD, Probability, Confidence Intervals
TUTORZONE ORIGINAL DRILLING MOCK · AP STATISTICS
Written to the College Board exam format: Section I multiple choice, 42 questions, 1 h 30 min, 50%; Section II free response, 4 questions, 1 h 30 min, 50%. This drilling mock demonstrates 4 Section II questions (mean, standard deviation, probability, confidence interval) with answers and drilling techniques.
What is in the AP Statistics drilling exam?
Direct answer: Section I multiple choice, 42 questions, 1 h 30 min, 50%; Section II free response, 4 questions, 1 h 30 min, 50%.
Assessment at a glance (2027)
| Component | Content | Weighting | Duration |
|---|---|---|---|
| Section II (Free Response) | 4 drilling questions: descriptive, probability, inference | 50% | 1 h 30 min |
| Section I (Multiple Choice) | 42 questions, discrete or question sets | 50% | 1 h 30 min |
AP Statistics drilling technique: in Section II state the formula, then substitute, then give the answer with its unit, and explain the reasoning. Use n-1 for the sample standard deviation.
How this paper was built
This is a TutorZone original drilling mock: the questions follow the College Board AP Statistics format (Section II free response) and the answers are our own computations, not College Board past papers or marking references.
Every answer was recomputed programmatically.
Pacing
| Section | Marks | Suggested time | What to do first |
|---|---|---|---|
| Section II (Free Response) | 50% | about 20 min per question | write the formula first, then substitute |
| Section I (Multiple Choice) | 50% | about 2 min per question | eliminate clearly wrong options |
Sample SD: n or n-1?
Direct answer: the sample standard deviation uses n-1; the population SD uses n.
Section II: free-response drilling (4 demonstrated)
Demonstrates mean, sample standard deviation, probability and confidence-interval drilling.
Question 1 (10 marks)
What is the mean of the data set 2, 4, 6, 8?
Question 2 (10 marks)
Calculate the sample standard deviation of the data set 2, 4, 6, 8.
Question 3 (10 marks)
What is the probability of rolling a 4 on a fair die?
Question 4 (10 marks)
For the sample 2, 4, 6, 8, find the margin of error of a 95% confidence interval (z = 1.96).
How is a 95% confidence interval calculated?
Direct answer: margin of error = z x (s / sqrt n), with z = 1.96 for 95%.
Answers and marks per question
Question 1
Mean = (2+4+6+8) / 4 = 5 (10).
Question 2
Sample variance = Σ(x-x̄)^2 / (n-1) = (9+1+1+9) / 3 = 6.67 (6); sample standard deviation = sqrt(6.67) = 2.58 (4).
Question 3
Six equally likely outcomes, P(4) = 1/6 (10).
Question 4
Margin of error = z x (s / sqrt n) (5) = 1.96 x (2.58 / 2) = 2.53 (5).
Which topics does this paper drill?
Direct answer: mean, sample standard deviation, probability and a 95% confidence interval.
Where these marks are usually lost
| Mistake | What it looks like | What it costs | Instead |
|---|---|---|---|
| Wrong SD denominator | Sample using n not n-1 | Sample SD uses n-1 | Use n-1 |
| Probability missing denominator | Just 1 | Write 1/6 | 1/6 (total outcomes) |
| CI missing z | No 1.96 | 95% needs z = 1.96 | Margin = 1.96 x (s/sqrt n) |
How to use this paper
First drill: all 4 questions with no references.
Mark it: check formula, substitution, unit and reasoning.
Second drill: redo three to seven days later, aiming for a faster finish.
What should I do after drilling this paper?
Direct answer: log questions with the wrong denominator (n vs n-1) or a missing z; redo in three to seven days; and drill Section I multiple choice.
FAQ
Is this a College Board past paper?
No. The questions and answers are TutorZone originals, not College Board past papers or marking references.
What does AP Statistics test?
Section I multiple choice, 42 questions, 1 h 30 min, 50%; Section II free response, 4 questions, 1 h 30 min, 50%.
Sample SD: n or n-1?
Sample standard deviation uses n-1; the population SD uses n.
Official references
| Resource | What to check |
|---|---|
| College Board AP Statistics exam page | Confirm the format and question counts |
| https://www.tutorzone.com.hk/en-ap-macroeconomics-mock-2027/ | AP Macroeconomics drilling mock |
Related: practice area · AP Macroeconomics drilling mock
Next step: find a tutor / register as a tutor
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