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University of Waterloo · Waterloo · sciences

University of Waterloo STAT202 — Introductory Statistics for Scientists

Build numerical foundations for scientific statistics: distributions, estimation, one-sample and paired comparisons, and supplied regression lines.

44 original question families · 132 parameter instances

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Course alignment and coverage

2026–2027 Undergraduate Studies Academic Calendar, effective September 2026–August 2027, checked on 25 October 2026 through Waterloo’s public catalogue. A catalogue description is not a section syllabus.

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.

  • Two independent means

    Compare independent means with known population standard deviations.

  • Proportions

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

  • Correlation and regression

    Use a supplied least-squares line and interpret residuals and r².

  • One-sample and paired t

    Use sample SD for a one-sample or paired t statistic, degrees of freedom and a margin with supplied t critical value.

What is not covered

Computational foundations only. Graphs, experimental design, software labs, ANOVA, two-sample t/Welch and regression inference are not covered. Normal/z cases explicitly assume known population SD; t exercises cover one sample and paired differences with supplied critical values.

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.