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McGill University · Montréal · Principles of Statistics 1

MATH203 Introductory statistics without calculus

Practise descriptive statistics, probability and introductory inference for means and proportions. McGill MATH203 is a statistics course; it is not Concordia’s calculus course with the same number.

36 original question families · 108 parameter instances

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Course alignment and coverage

Aligned to McGill’s current official department course listing, which lists Fall 2026 and Winter 2027 offerings and no calculus prerequisite. Checked 25 October 2026. A current detailed section syllabus was not publicly verified.

The four pathways share topic families. Across the whole pilot there are 80 distinct families and 240 parameter instances, presented in English and French; translations and shared course 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.

  • Two independent means

    Compare independent means with known population standard deviations.

  • Proportions

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

What this pilot does not cover

Partial foundations only: variance inference, t procedures, distribution tables/software, graphical interpretation and extended experimental design are not covered. Known-sigma z exercises do not replace all inference methods taught in the course. Regression is not mapped to this course.

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

Original independent self-study only. This is not a university service, an official exam, an assignment-solving service or a prediction of your course grade. Follow your instructor’s rules. No live language model is used.