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Author Garrison Keiler created the fictional town of Lake Woebegone for his humorous (mostly) radio show. There were many famous quotes in the show, and

Author Garrison Keiler created the fictional town of Lake Woebegone for his humorous (mostly) radio show. There were many famous quotes in the show, and I have listed one below.

"Welcome to Lake Wobegon, where all the women are strong, all the men are good looking, and all the children are above average."

Let's respond to this quote with statistical thinking. Here are some assumptions (just for the sake of discussion):

  1. Assume Lake Wobegon is a real town.
  2. Assume it has a population of around 35,000 people.
  3. Assume that this quote was based on some sort of statistical measures.

Now for the DQ:

From a statistical point of view, let's focus on the "all the children are above average' part of the quote and respond to two questions:

  1. Can the statement possibly be true according to statistical thinking? Why or why not? Please justify your answer using statistical reasoning.
  2. What would a bar chart of the quote ( "all the children are above average" look like? You can describe it or post your own bar chart and explanation (extra credit!).

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