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Week 2 · Discussion: Traditional alternative (no AI)

Week 2 Discussion — Is This Picture Telling the Truth? — Traditional alternative (no AI)

Introduction to Statistics Free sample edition
Traditional alternative (no AI), unpublished. In the course this is a separate discussion that ships unpublished beside the adaptive discussion: same objective, no AI. An instructor who prefers it publishes it and unpublishes or deletes the adaptive one, as the note at its top says.

Instructors: publish this instead of the adaptive version if you prefer, and unpublish or delete the adaptive one.

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 discussion 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 here. 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. Pick one you actually care about, and tell us the story.

Expectations

Activity format: one initial post followed by two substantive peer replies. Plan on about 45 minutes across the two deadlines; your instructor sets both due dates in Canvas.

Your initial post — by the first due date (early in the module week):

  • Say which option you chose.
  • Describe the chart or the data in words, so a reader who cannot see it still knows what it shows.
  • Use at least two of 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.
  • Give your honesty judgment or your graph choice, with a reason.
  • Length: roughly 150–250 words if written. You may instead record your post as audio or video (about two minutes) and attach a transcript; both forms are scored by the same rubric.

Your replies — by the second due date (the end of the module week):

  • Reply substantively to at least two classmates.
  • A substantive reply does more than agree: point out a check the poster skipped, suggest a better graph for the variable, or question how a shape was named. "Nice point!" on its own does not count.

What a strong post looks like:

I chose Option A. A phone ad shows two bars for battery life, and the new phone's bar looks about three times as tall. The vertical axis starts well above zero, so the picture exaggerates the gap; this is a truncated axis. The numbers themselves show a modest gain. I would redraw it as a bar chart whose axis starts at zero, so the bar lengths match the hours.

Notice how it describes the chart in words, names the trick with this week's term, and gives a fix. That is the bar.

Participation rubric

This discussion is worth 10 points. The three criteria below look at your initial post and your peer replies.

How the 10 points of this discussion are earned
Criterion Full credit Partial credit No credit
Quality of the initial post (4 pts) A real, specific chart or dataset is described in words, and the honesty judgment or graph choice is explained with a reason 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
Use of 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
Engagement with peers (3 pts) Two or more substantive replies that extend or challenge a classmate's reasoning One substantive reply, or replies that only agree No replies, or "I agree" with nothing added

Post early if you can — the best threads happen when people have time to reply before the second due date.

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