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AP Statistics practice exam generator (MC + FRQ)

ExamTeX generates printable AP Statistics mock exams in the College Board's exact format — 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. Upload your unit notes or the Course and Exam Description, and ExamTeX matches the four-step inference structure, the "in context" answer requirements, and the E/P/I-style scoring AP readers use. 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%)

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 like this one.

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?

Yes — Section II includes five short free-response questions plus a longer investigative task that pushes a familiar method into a new setting, matching the real exam's structure. Each comes with a rubric describing what an Essentially correct, Partially correct, and Incorrect response looks like for every part.

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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