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Introduction to Statistics

15 instructional weeks + finals week (Week 1–Week 16) Free sample edition

Built with The Course Maker · samples.thecoursemaker.com

This is a complete course: fifteen instructional weeks and a finals week, every student component, built with The Course Maker and ready to import. Weeks are relative (Week 1 to Week 16); you set the dates when you import it. Browse the whole thing below. Click any piece to read it in full, then click back to return here.

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Free sample edition. No instructor, institution, or term identity appears anywhere in this edition, by design. The syllabus carries fill-in slots (instructor name, contact, office hours, institution policies) for the adopting instructor to make it their own. (Original objectives written from the standard Introduction to Statistics body of knowledge; not copied from any school's course outline.)
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This course is free, complete, and evergreen, and it is yours to keep; free downloads run through June 30, 2028. Students pay $0 for course materials: the readings and videos are links to freely available resources.

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Included in every course

  • ChapterRequired

    Required in every course. Every module presents the same content in three ways — a chapter to read, a slide deck with speaker notes, and captioned videos — so each student can choose how to take it in. The course is designed to reflect UDL's multiple means of representation, and the alignment report describes this to your curriculum committee.

  • Slide deck with speaker notesRequired

    Required in every course. Every module presents the same content in three ways — a slide deck with speaker notes, a chapter to read, and captioned videos — so each student can choose how to take it in. The course is designed to reflect UDL's multiple means of representation, and the alignment report describes this to your curriculum committee.

  • Captioned video linksRequired

    Required in every course. Every module presents the same content in three ways — captioned videos, a chapter to read, and a slide deck with speaker notes — so each student can choose how to take it in. The course is designed to reflect UDL's multiple means of representation, and the alignment report describes this to your curriculum committee. We link videos only when a caption track exists (from the creator or generated automatically), and we never host them.

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The syllabus

Policies, schedule, and grading

Read the full course syllabusPolicies, the week-by-week schedule, grading, and the bring-your-own-AI rules, with fill-in slots for the adopting instructor.→
Weighted gradebook

Assignment groups & weights

Configured in the export — the gradebook is set the moment the course is imported.

Assignment groupWeightNotes
Tutorials & Practice10%
Quizzes10%
Workshops20%
Assignments25%
Discussions15%
Exams20%
Total100%Letter Standard
Objectives & outcomes

What students will be able to do

Objective 1

Distinguish populations from samples and parameters from statistics, classify variables by type and level of measurement, and identify appropriate sampling methods and study designs, including what each can and cannot conclude.

Objective 2

Summarize and display a single quantitative or categorical variable with appropriate tables and graphs, and describe its distribution's shape, center, and spread with the right numerical summaries.

Objective 3

Describe the relationship between two variables using scatterplots, the correlation coefficient, and two-way tables, and explain why association alone does not establish causation.

Objective 4

Apply the basic rules of probability, including conditional probability and independence, and compute and interpret the expected value and standard deviation of a discrete random variable, including binomial settings.

Objective 5

Use the normal model and sampling distributions, including the Central Limit Theorem, to reason about variability in individual values and in sample statistics.

Objective 6

Construct and correctly interpret confidence intervals for a population mean and a population proportion, including the meaning of the confidence level and the margin of error.

Objective 7

Carry out and correctly interpret hypothesis tests for means and proportions, including one- and two-sample settings, p-values, significance levels, and Type I and Type II errors.

Objective 8

Fit and interpret a simple linear regression model, assess its fit with r-squared and residuals, and carry out inference for the slope.

SLO A

Reason quantitatively to draw evidence-based conclusions from data, stating what the evidence does and does not support.

SLO B

Communicate statistical results clearly and honestly to a non-technical audience, in plain language and with the appropriate caveats.

How this course is built — read this first

Every teaching module carries the same set, in the order a student meets it: a Start Here overview, the chapter (the primary reading), the lecture (titled “Lecture: <module title>”), the slide deck with speaker notes, readings & resources (links only), the lecture tutorial and practice exercises worked with an AI tutor, the quiz, the discussion and the assignment, and the weekly Data Lab. Exams: the midterm in Week 8 and the final in Week 16, a finals week with no module.

The discussion and the assignment each ship in both formats: the adaptive version is the published, graded item, and its traditional alternative (no AI) is a separate item that ships unpublished beside it. An instructor who prefers the traditional format publishes it and unpublishes or deletes the adaptive one.

What you see here is every student page. The instructor pack (answer keys and worked solutions, rubric calibration, image prompts, audio-brief scripts, and the alignment report) ships only in the download, never on this site.

Adaptive and traditional

Discussions & assignments: both formats in every module

Same learning objective either way; what changes is how the work happens.

Adaptive · published

Work it through with an approved chatbot

The student does the work in a guided conversation with an approved chatbot, using a copy-paste prompt the course provides. For a discussion, the AI is a Socratic partner that challenges their thinking and never writes the post. For an assignment, the AI is a coach: it asks questions, checks the reasoning shown, and waits for the student to revise. The student submits the chat link with the required summary or report.

Traditional alternative (no AI) · unpublished

The familiar way, one click away

The student does the work themselves and submits it, and the instructor grades it against the rubric. No AI required. It ships unpublished, opening with a one-line note to the instructor; publish it instead of the adaptive version if you prefer.

All 16 weeks

Every week, every component

Each week is a heading; every component under it links to the full student page. Week 8 is a teaching module that also carries the midterm bundle; Week 16 is the finals week, with the final exam bundle and no module.

01
Week 1

Foundations & Types of Data

what statistics is: the question, the data, the conclusion, and the uncertainty in betweenpopulation vs. sample; parameter vs. statisticvariable types (categorical vs. quantitative, discrete vs. continuous) and the four levels of measurementsampling methods and the bias each carries; observational studies vs. experiments
02
Week 2

Summarizing Data with Tables & Graphs

frequency and relative-frequency tables; bar charts and pie charts for categorical datahistograms, dot plots, and stem plots for quantitative datadescribing shape: symmetric, right-skewed, left-skewed, unimodal, bimodal; informal outliersreading a two-way table; spotting a misleading graph
03
Week 3

Numerical Summaries: Center & Spread

mean, median, and mode; which is resistant and which level of measurement each needsrange, variance, and standard deviation; the n - 1 vs. N distinctionthe five-number summary, the IQR, boxplots, and the 1.5 x IQR rulehow skew moves the mean relative to the median
04
Week 4

Exploring Relationships Between Two Variables

scatterplots: direction, form, strength, and unusual pointsthe correlation coefficient r and its propertiestwo-way tables: marginal and conditional distributionsassociation vs. causation; lurking and confounding variables
05
Week 5

Probability Foundations

randomness and long-run relative frequency; the law of large numberssample spaces and events; the complement, addition, and multiplication rulesconditional probability and independence, read off a two-way tablemutually exclusive vs. independent events
06
Week 6

Random Variables

discrete vs. continuous random variables; legitimate probability distributionsexpected value as a long-run averagevariance and standard deviation of a discrete random variablewhat shifting and rescaling do to the mean and standard deviation; a first look at density curves
07
Week 7

Binomial & Normal Models

the binomial setting and its four conditionsbinomial probabilities by formula for small n and by technology beyond; the binomial mean and standard deviationthe shape of a binomial distribution and when the normal approximation is (and is not) appropriatefirst look at the normal curve as the working model for many measurements
09
Week 9

The Normal Distribution

density curves and the normal model; the empirical rulestandardizing with z-scores; the standard normal distributionforward and inverse normal calculations, by table and by technologyassessing whether a normal model is reasonable
10
Week 10

Sampling Distributions & the Central Limit Theorem

sampling variability: a statistic changes from sample to samplethe sampling distribution of the sample mean; standard deviation vs. standard errorthe Central Limit Theorem and what 'large n' meansthe sampling distribution of the sample proportion
11
Week 11

Confidence Intervals for a Mean

point estimates and the logic of an interval estimatethe t distribution and degrees of freedomconstructing a one-sample t interval: conditions, computation, interpretationthe anatomy of the margin of error; what a confidence level does and does not mean
12
Week 12

Confidence Intervals for a Proportion

the one-proportion z interval: conditions, computation, interpretationthe margin of error in polls and how it shrinks with nchoosing a sample size for a target margin of errorwhat the margin of error does not cover: bias and non-response
13
Week 13

Hypothesis Testing: Foundations

null and alternative hypotheses; the logic of a significance testtest statistics and p-values; what a p-value is and is notsignificance level, decisions, and Type I and Type II errorsstatistical vs. practical significance; 'fail to reject' is not 'accept'
14
Week 14

Tests for Means & Proportions

the one-sample t test: conditions, mechanics, interpretationcomparing two means: the two-sample t procedure, reading software outputtests for one proportion and comparing two proportionstests and intervals as two views of the same question; choosing the right procedure
15
Week 15

Linear Regression & Inference for the Slope

the least-squares line: interpreting the slope and interceptr-squared, residuals, and residual plotsinference for the slope: conditions, the t test, and a confidence intervalprediction, extrapolation, and influential points; where the course has taken you