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Queen’s University · Kingston · Arts and Science
Queen’s University STAT263 — Introduction to Statistics
Practise probability and selected estimation/test calculations for Queen’s general statistics route. The official course also requires choosing among many procedures and includes nonparametric methods.
52 original question families · 156 parameter instances
Practise this course →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.
Two independent means
Compare independent means with known population standard deviations.
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.
Chi-square counts
Compute a simple goodness-of-fit statistic, an expected cell, table degrees of freedom and a decision from a supplied p-value.
Normal areas and quantiles
Use supplied rounded normal tables for complements, central areas, standardization and a percentile.
Independent two-sample Welch inference
Calculate unpooled SE, a Welch t statistic, fractional degrees of freedom and a CI endpoint using a supplied critical value.
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. Full procedure selection and F tests are absent. The official catalogue excludes Commerce students; verify eligibility and course exclusions.
An original worked example
Find the mean of 2, 4, 6, 8.
Worked solution
Answer: 5
- The total is 20.
- Mean=20/4=5.
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.