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Week 1 · Module overview

Week 1 — Module Framing · Foundations & Types of Data

Introduction to Statistics · MATH 11 Fall 2026 · Prof. Rivera Fictional sample

Course: Introduction to Statistics (MATH 11) · Silver Oak University (fictional sample) · Prof. Rivera
Module: Week 1 of 16 · Fall 2026 · in-person, two 75-minute sessions
Objective covered: Objective 1 — Distinguish populations from samples and identify appropriate sampling and study designs.

This file holds two pieces: (A) the Module 1 Overview page ("Start Here") and (B) the Welcome Announcement that drips out when the module opens. Dates below assume a Tuesday/Thursday session pattern with Week 1 meeting Tue Sep 1 and Thu Sep 3, and end-of-week work due Sunday Sep 6, 11:59 p.m. Adjust the day-of-week and times to match your section.


(A) Module 1 Overview — Start Here

Welcome to Week 1: Foundations & Types of Data

This is your home base for the week. Read it first, then work the checklist below from top to bottom. Everything you need is linked inside the module.

This week is the foundation the whole course is built on. Before we ever calculate anything, we have to answer a more basic question: where do numbers come from, and when do they deserve our trust? You already generate data all day long — your phone counts your steps, an app times your delivery driver, this page logs when you opened it. Statistics is the other side of that: how anyone turns numbers like yours into a claim about people they never met, and how you tell the honest claims from the garbage.

The week's big question

"Where do data come from, and when can the numbers be trusted to speak for more people than we actually measured?"

By Friday you'll be able to look at any statistic in the wild — a poll, a "studies show," a campus survey — and ask the three questions that decide whether it earns your trust: Who was measured? How were they picked? What was actually recorded?

By the end of this week, you can…

Use this as a checklist. If you can do all four out loud, you're ready for the quiz.

  • [ ] Tell a population from a sample — and a parameter (a number describing the whole population) from a statistic (the matching number from your sample).
  • [ ] Classify a variable by its level of measurement — nominal, ordinal, interval, or ratio (remember N-O-I-R), and explain why using the "does zero mean none?" test.
  • [ ] Name a sampling method (simple random, stratified, cluster, systematic — or the traps: convenience and voluntary response) and say whether it's likely to be biased.
  • [ ] Tell an observational study from an experiment, and explain why correlation isn't causation by pointing to a possible confounding variable.

What's due this week, and when

Work these in order — each one gets you ready for the next.

# Do this Type Due
1 Read the week's readings + watch the linked videos Read / watch (ungraded prep) Before Thu Sep 3
2 Skim the slides (Deck 1) and the Week 1 lecture outline Prep (ungraded) Alongside class
3 Lecture Tutorial 1 — work through population/sample, NOIR, and sampling & bias with one approved chatbot (Gemini, Claude, or ChatGPT), then submit the conversation share link Lecture Tutorial · graded (5% group) Sun Sep 6, 11:59 p.m.
4 Practice exercises — low-stakes reps to lock in the ideas Practice · ungraded Sun Sep 6 (recommended)
5 Quiz 1 — covers population/sample, parameter/statistic, NOIR, sampling, bias, observational vs. experiment Quiz · graded (Quizzes, 15% group) Sun Sep 6, 11:59 p.m.
6 Discussion 1 — "Spot the biased sample" — interrogate a real-world claim in a dialogue with one approved chatbot (Gemini, Claude, or ChatGPT), then post the AI summary + your chat link and reply to two classmates Discussion · graded (Discussions, 10% group) Initial post Fri Sep 4; replies Sun Sep 6

Heads-up on the AI tutorial: you'll use a chatbot to draft, and then you judge its work against what we cover in class. Chatbots routinely miss these — they'll call a zip code "ratio" (it's nominal) or °C "ratio" (it's interval, no true zero). Catching the model is the point.

Late policy reminder: 10% off per day late. If life happens, reach out before the deadline — I'd much rather hear from you early.

How to succeed this week

  • Lead with the idea, not the notation. Every term this week is a plain-English idea first (population = everyone we want to know about; sample = the part we measured). The symbols (p, ) come after the idea clicks. Don't let the notation scare you.
  • Memorize two tiny hooks. "Population → Parameter, Sample → Statistic — the letters line up." And "N-O-I-R" for the four levels of measurement, in order of how much math they permit.
  • Use the one-question test for levels. Does zero mean "none"? Yes → ratio. Equal gaps but zero is arbitrary → interval. Ordered labels, fuzzy gaps → ordinal. Just names → nominal.
  • Remember the headline lesson: method beats size. A huge sample picked the wrong way is confidently wrong. (Ask me about the 1936 poll with 2.4 million responses that still got the winner wrong.)
  • Treat the chatbot as a smart intern, not an oracle. It drafts; you check. That habit is the whole semester in miniature.

You don't need any background for this week — just curiosity and a willingness to question numbers. Come to class ready to argue about a budgeting app. See you Tuesday.


(B) Welcome Announcement — Module 1

Release setting: post on the module's start day (offset = 0 days), i.e., Tue Sep 1, 2026 — not before. If your platform won't preserve the scheduled date on import, post this as a draft labeled "Release: Tue Sep 1."

Subject: Welcome to Week 1 — let's learn to question numbers 👋

Hi everyone, and welcome to Introduction to Statistics!

Quick question before we start: in the last 24 hours, did you generate any data? Steps counted, songs logged, a delivery timed, this page opened? You did — constantly. This whole course is about the other side of that: how anyone turns numbers like yours into a claim about people they never met, and how you tell the trustworthy claims from the junk.

This week — Foundations & Types of Data — we tackle the big question: Where do data come from, and when can the numbers speak for more people than we actually measured? By Friday you'll be able to look at any poll or "studies show" and ask the three questions that decide whether it deserves your trust: Who was measured? How were they picked? What was actually recorded?

Two things not to miss:
1. Lecture Tutorial 1 — work through the week's ideas with one approved chatbot (Gemini, Claude, or ChatGPT) and submit the share link. You'll catch the model's mistakes, not just trust it. Due Sun Sep 6.
2. Quiz 1 and Discussion 1 also close Sun Sep 6 — the discussion is a quick AI dialogue you summarize and post, so start early and leave time to reply to classmates.

One promise: this is a course about thinking clearly, not about being a "math person." We lead with plain-language ideas every single week; the notation comes second. If a number ever surprises you this term, you'll know exactly what to ask.

Open the Start Here / Module Overview page first — it lays out everything in order with due dates. Bring your curiosity (and maybe an opinion about whether budgeting apps actually make people save) to class on Tuesday.

See you soon,
Prof. Rivera


~ Prof. Rivera's edition · Fall 2026 · built with thecoursemaker.com