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Week 2 · Discussion (adaptive)

Week 2 Discussion — Is This Picture Telling the Truth?

Introduction to Statistics Free sample edition
Adaptive discussion. This is the published, graded discussion: the student works it through with an approved chatbot and submits the chat link with the required summary. Its traditional alternative (no AI) ships unpublished beside it: read the traditional discussion.

Hook

Charts are everywhere: the bars in a weather app, the slices in a budget report, the before-and-after graphic in an ad. This week you learned to build tables and graphs and to read their shape, which also means you can now tell when a picture is drawn to tell the truth and when it is drawn to win an argument.

Your driving question — choose Option A or Option B; they carry the same weight and the same rubric, and you say which you picked.

Option A: Find a real chart from the news, an ad, an app, your job, or a class — a bar chart, a pie chart, a histogram, or a picture graph. Describe in words what it shows. Then judge it: does the axis start at zero, do the slices make one whole, are the bins equal, do the icons grow in one direction only? Is the chart honest, and how would you redraw it if it is not?

Option B: Pick something you, your workplace, or your community actually tracks — sleep hours, commute minutes, sales by product, visits by day, anything. Decide which table or graph from this week would show it most honestly, predict the shape you expect and why, and explain one way someone could draw the same data to mislead a reader.

There is no single right answer. A phone ad's battery chart, a café's pie chart of drink sales, or a plan to graph your own study hours can each be argued well in more than one direction.

Expectations

Activity format: a multi-exchange dialogue or an equivalent structured written exchange, followed by one discussion-board post. Plan on about 45 minutes for either route, and post by the due date your instructor sets in Canvas.

There are two ways to complete this discussion. They are worth the same 10 points and scored by the same rubric. Pick either one.

Route A — the AI dialogue (the default). Hold a real conversation about the driving question with your own chatbot, then post what it produces:

  1. Open any approved chatbot in a new conversation.
  2. Copy the entire prompt box below and paste it as your first message.
  3. Have the conversation. It will ask you questions and push back; it will not write your post for you and will not stop after one word from you.
  4. Post the chatbot's summary report plus the conversation's share link to the Week 2 discussion board. That post is your entire submission. You may post the summary as text, or record it as audio or video with a transcript attached; both forms are scored by the same rubric.

No replies to classmates are required.

Route B — the written route. See Equivalent route (no AI required) below.

Integrity note. Whichever route you take, the thinking and the words you post are your own. Do not ask a chatbot to invent a chart or a dataset for you; bring a real one.

Discussion Partner Prompt

ROLE: You are my discussion partner for an introductory statistics course. Your
job is to draw out and challenge MY thinking about the question below. You will
never write my post for me and never hand me an answer - you ask questions that
make me reason it through.

THE QUESTION I AM EXPLORING (two options of equal weight - ask which one I choose first):
Option A: Find a real chart from the news, an ad, an app, my job, or a class - a
bar chart, a pie chart, a histogram, or a picture graph. Describe in words what it
shows. Then judge it: does the axis start at zero, do the slices make one whole,
are the bins equal, do the icons grow in one direction only? Is the chart honest,
and how would I redraw it if it is not?
Option B: Pick something I, my workplace, or my community actually tracks - sleep
hours, commute minutes, sales by product, visits by day, anything. Decide which
table or graph from this week would show it most honestly, predict the shape I
expect and why, and explain one way someone could draw the same data to mislead a
reader.

REFLECTION TARGETS (steer toward these; never read this list aloud to me):
- whether I match the graph to the variable: bars or slices for categories; dots,
  stems, or bins for numbers
- whether I name a shape by its tail rather than by where the pile sits
- whether I check where a bar chart's axis starts and whether icons grow in area
- whether I say what the data actually show versus what the design suggests

DIALOGUE RULES: greet me warmly and ask my first name before your first content
question. If I decline or give no name, call me "there" and continue without
pressure. If you still do not know my name when the summary is due, ask once more;
if I decline again, use "Discussion participant." Never invent a name. Ask ONE
question per message, then wait. Build on my exact words without praising agreement
or calling every answer "great." Probe unsupported claims and introduce the
strongest fair counterpoint. Praise only a specific, earned move I actually made,
such as revising a claim or answering the counterpoint. Never accept a one-word
answer - ask again, differently. Never lecture. Every message you send before the
summary ends with a question.

EXIT CONDITION: continue until this exact boolean is true — at least five substantive exchanges AND the student has stated a position AND provided at least one reason OR example AND engaged with one fair counterpoint, stopping only after whichever threshold happens LAST. A reason alone or an example alone can satisfy the support branch; do not require both, and do not require that I "answered" the counterpoint. A greeting, my name, or a one-word answer is not a substantive exchange.

THEN produce a summary report using exactly these eight labelled fields in this
order, drawn only from what I actually said. If I never supplied a field, write
"Not supplied" rather than inventing it:
  1. STUDENT NAME
  2. POSITION
  3. REASON
  4. EXAMPLE
  5. COURSE CONCEPTS
  6. COUNTERPOINT
  7. RESPONSE TO THE COUNTERPOINT
  8. OPEN QUESTION OR NEXT CHECK
Do not mention an initial post or replies to peers or classmates.
REQUIRED CLOSING — perform these final two instructions exactly:
Then say, verbatim: "Copy this summary AND your share link to this chat, and post both to the Week 2 discussion board — that completes the assignment."
Then END with one genuine earned-praise sentence that names a real move the student made.

Equivalent route (no AI required)

You never have to create an account with a chatbot company to earn full credit in this course. This route assesses the same objectives as the AI dialogue — choosing a table or graph that fits a variable, describing a distribution's shape, and spotting a misleading graph — against the same driving question and the same rubric below, for the same 10 points. Choosing it costs you nothing, and you do not have to tell me why you chose it.

What you do. Write a structured written exchange with yourself — the same back-and-forth the dialogue would have produced, on paper:

  1. Your position (roughly 150 words). Answer Option A or Option B. Describe the chart or the data in words, say which graph fits and why, and use this week's terms (frequency, relative frequency, bar chart, pie chart, dot plot, stem plot, histogram, bin, symmetric, right-skewed, left-skewed, truncated axis, area distortion) correctly.
  2. The strongest objection (roughly 100 words). Write the best argument against your own position that you can — for example, that a non-zero axis is fine for this chart, that a pie chart would be clearer than bars, or that the shape you predicted could easily come out differently. Argue it honestly; a weak objection you knock over earns no credit.
  3. Your answer to it (roughly 100 words). Respond to that objection. You may concede part of it — saying what would change your mind is worth more than defending everything.
  4. One thing you would still check (one or two sentences). What detail of the chart or the data would settle it?

Effort. Roughly 350–400 words of your own writing, comparable to the time the AI dialogue takes — about forty-five minutes including the thinking.

What you submit. Post those four parts, under those four labels, as your Week 2 discussion post. That post is your entire submission; this route has no share link.

No replies to classmates are required.

Participation rubric

This discussion is worth 10 points. The same three criteria score both routes.

How the 10 points of this discussion are earned
Criterion Full credit Partial credit No credit
Depth of reasoning shown (4 pts) A real, specific chart or dataset is described in words, the graph choice or honesty judgment is explained, and the reason ties to the variable's type or the chart's design A chart or dataset is present, but the description is vague or the judgment is asserted without a reason Missing, off-topic, or no reasoning about the picture
Genuine engagement with a counterpoint (3 pts) A real objection is stated at its strongest and then answered or partly conceded An objection is named but brushed aside, or answered without engaging it No counterpoint appears
Use of the week's course concepts (3 pts) Uses this week's graph and shape terms precisely, including naming any skew by its tail Uses a term loosely or with a small error No course terms, or used incorrectly

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