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AP Statistics practice exam generator (MC + FRQ)

ExamTeX generates printable AP Statistics mock exams in the College Board's style. The real exam has Section I with 40 multiple-choice questions (90 minutes, 50% of score) and Section II with six free-response questions (90 minutes, 50%), including the longer investigative task; one ExamTeX exam holds up to 35 multiple-choice questions, so practice the sections in parts. Upload your unit notes or the Course and Exam Description, pick the AP Statistics style, and inference questions follow the four-step structure with answers required "in context", and solutions show the full statistical argument AP readers score. Statistical notation renders in LaTeX for clean print output.

Section I — Multiple Choice

40 questions across exploring data, sampling and experimentation, probability and distributions, and statistical inference.

Marks: 40 questionsTime: 1h 30mWeight: 50% of score

Section II — Free Response

5 short-answer questions (~12 min each) plus 1 investigative task (~30 min) that extends a familiar method to a new setting.

Marks: 6 questionsTime: 1h 30mWeight: 50% of score (task ~12.5%)

Start with a free AP Stats practice exam

Try a ready-made AP Statistics practice exam first — 12 MC + 2 FRQs — including a full hypothesis test with all four inference components. View it online or download the print-ready PDF, free with no signup. The worked answer key is emailed to you.

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Sample question with mark scheme

A university claims the mean daily study time of its students is 3 hours. A random sample of 36 students has mean 2.7 hours with standard deviation 0.9 hours. At the 5 percent significance level, is there convincing evidence that the true mean differs from 3 hours? (a) State hypotheses and define the parameter. (b) Identify the procedure and verify conditions. (c) Compute the test statistic and p-value. (d) State a conclusion in context.
Show mark scheme
(a) E: H₀: μ = 3, Hₐ: μ ≠ 3 with μ defined as the true mean daily study time of all students at the university. (b) E: one-sample t-test; random sample stated, n = 36 ≥ 30 supports approximate normality of the sampling distribution, independence reasonable if fewer than 10% of students sampled. (c) E: t = (2.7 − 3)/(0.9/√36) = −2.0, df = 35, p ≈ 0.053. (d) E: since p ≈ 0.053 > 0.05, fail to reject H₀ — insufficient evidence at the 5% level that mean study time differs from 3 hours, stated in context. Each part scored Essentially correct / Partially correct / Incorrect.

Every generated paper includes a full mark scheme with worked solutions.

Common mistakes AP Stats students make

  • Stating hypotheses about the sample mean (x̄) instead of the population parameter (μ) — an immediate loss on inference questions.
  • Skipping the conditions check (randomness, normality, independence) or asserting conditions without evidence from the problem.
  • Writing conclusions without context — "reject the null" earns less than a sentence tying the decision to the actual variable studied.
  • Interpreting a confidence level as the probability the parameter is in a specific interval, rather than as the long-run capture rate of the method.

Frequently Asked Questions

Does ExamTeX generate the investigative task?

Not as a fixed section. The AP Statistics style writes multi-part free-response questions in realistic data contexts, and you can ask for an investigative-task-style question in the instructions box. Each comes with a full solution showing the statistical argument AP readers award points for.

Do generated questions follow the four-step inference format?

Yes. Inference FRQs are structured around the state-plan-do-conclude sequence AP readers score: hypotheses and parameter definitions, procedure identification with conditions, mechanics, and a conclusion in context.

Can I drill specific units, like probability or inference?

Yes — generate targeted question sets for any of the course units (exploring data, study design, probability, distributions, inference for means and proportions) when a full mock is more than you need.

Does it handle statistical notation properly?

Yes — papers compile through LaTeX, so notation like x̄, μ, σ, p̂, and summation formulas print correctly rather than as plain-text approximations. Free statistics practice problems with worked solutions are also available on our resources page.

Is a formula sheet included like the real exam?

The real AP Statistics exam provides formula sheets and tables, and your practice should mirror that: generate the mock, then sit it with the official College Board formula sheet (freely downloadable) beside you for authentic conditions.

Or generate other study materials

AP Stats FlashcardsAP Stats Study PodcastAP Stats Summary

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