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Height Comparison: Tiptoes vs. Flat-Footed - A Statistical Exploration

Explore the average increase in height when standing on tiptoes, predict who would gain the most centimeters, compare statistical measures, identify the middle 50% of participants' heights, analyze box and whisker plots, and learn about stem and leaf plots and box and whisker plots.

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Height Comparison: Tiptoes vs. Flat-Footed - A Statistical Exploration

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  1. Explore/Explain 1 Man In The Box

  2. What is the average number of centimeters that are added to a person’s height when standing on his tiptoes? Who do you predict would gain the most centimeters and why do you think this is so?

  3. How do the measures of the mean, median, mode and range of the tiptoe heights compare to the flat-footed heights?

  4. What strategy can you use to find the heights that represent the middle 50% of the participants?

  5. Place an orange dot above the number line to represent your tiptoe height. Place a blue dot below the number line to represent your flat-footed height.

  6. How do the measures of the mean, median, mode and range of the tiptoe heights compare to the flat-footed heights? • How will the box and whisker plots compare for the flat-footed heights and tiptoe heights?

  7. Without talking, take turns filling in the Venn Diagram. Write what you have learned about stem and leaf plots and box and whisker plots. Address both mathematical and technological aspects.

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