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York University · Keele · introductory statistics

York University SC/MATH1131 — Introduction to Statistics I

Start with summaries, probability, sampling and one-sample inference. York lists two-population comparison and regression only if time permits, so they are not core objectives here.

40 original question families · 120 parameter instances

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Course alignment and coverage

Current official public course description checked 25 October 2026. No current section-level or weekly syllabus was publicly verified; topic alignment below does not claim a teaching sequence or assessment coverage.

Across this collection: 156 distinct original families and 468 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.

  • 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.

  • Normal areas and quantiles

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

What is not covered

Selected numerical foundations only. No software labs, graphs, study-design assessment, simulation/bootstrap, ANOVA, nonparametric procedures, multiple regression or regression inference. Critical values and rounded normal-table entries are supplied; this practice is not a complete statistics assessment. Two-population and regression topics are not mapped without a section outline confirming them.

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.