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McMaster University · Hamilton · introductory preparation

McMaster University STATS1LL3 — Introduction to Probability and Statistics

Start with probability rules, discrete/normal calculations, summaries and introductory inference for the STATS1LL3 route. STATS1L03 is an older excluded code, not a second practice page.

36 original question families · 108 parameter instances

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Course alignment and coverage

Public Fall 2026 section outline and embedded course description checked on 25 October 2026. Section-specific schedules, materials and policies can change; only the mapped objectives below are supported.

Across this collection: 140 distinct original families and 420 parameter instances. Courses share topic banks; translations and shared mappings are not extra questions.

Supported learning objectives

  • Descriptive statistics

    Calculate means, medians and weighted summaries.

  • Variance and standard deviation

    Distinguish sample and population denominators and scale changes.

  • Probability

    Use complements, independence and conditional probability.

  • Distributions

    Use binomial and normal models under stated assumptions.

  • Sampling and standard error

    Calculate standard errors and sample-size effects.

  • Confidence intervals for a mean

    Calculate known-sigma z intervals; critical values are supplied.

  • Hypothesis tests for a mean

    Calculate a known-sigma z statistic, p-value decision or critical boundary.

  • Proportions

    Estimate a proportion and calculate a standard error or z interval.

  • Normal areas and quantiles

    Use supplied rounded normal tables for complements, central areas, standardization and a percentile.

What is not covered

Conditional-probability foundations are included, but full continuous-density calculations, graphical tasks and broad inference are missing. No claim of Science/Engineering eligibility: the official outline lists faculty and prior-course restrictions. Follow those rules for enrolment.

An original worked example

Find the mean of 2, 4, 6, 8.

Worked solution

Answer: 5

  1. The total is 20.
  2. Mean=20/4=5.
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Official course sources

Independent, original, free self-study practice. Not affiliated with or endorsed by this university; these are not official exam questions. Topic alignment does not establish transfer credit, a current section’s weekly syllabus, full course coverage or a grade prediction. Follow your instructor’s rules and use official course materials for assessed work. No live AI chat or paid access is required.