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IM 7.8.19 Lesson: Comparing Populations With Friends

Autor:GeoGebra Classroom Activities, IM 6 – 8 Math

Dot plots, histograms, and box plots are different ways to represent a data set graphically.

Which of those displays would be the easiest to use to find the mean?

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Which of those displays would be the easiest to use to find the median?

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Which of those displays would be the easiest to use to find the mean absolute deviation?

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Which of those displays would be the easiest to use to find the interquartile range?

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Which of those displays would be the easiest to use to find the symmetry?

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Your teacher will assign you either a problem card or a data card. Do not show or read your card to your partner.

If your teacher gives you the problem card:If your teacher gives you the data card:
  1. Silently read your card and think about what information
  2. you need to be able to answer the question.
  3. Ask your partner for the specific information that you need.
  4. Explain how you are using the information to solve the problem. Continue to ask questions until you have enough information to solve the problem.
  5. Share the problem card and solve the problem independently.
  6. Read the data card and discuss your reasoning.
  1. Silently read your card.
  2. Ask your partner  “What specific information do you need?”  and wait for them to ask for information. If your partner asks for information that is not on the card, do not do the calculations for them. Tell them you don’t have that information.
  3. Before sharing the information, ask “Why do you need that information?” Listen to your partner’s reasoning and ask clarifying questions.
  4. Read the problem card and solve the problem independently.
  5. Share the data card and discuss your reasoning.
Pause here so your teacher can review your work. Ask your teacher for a new set of cards and repeat the activity, trading roles with your partner.

Is there a meaningful difference between top sports performance in two different decades? Choose a variable from your favorite sport (for example, home runs in baseball, kills in volleyball, aces in tennis, saves in soccer, etc.) and compare the leaders for each year of two different decades. Is the performance in one decade meaningfully different from the other?

A college graduate is considering two different companies to apply to for a job. Acme Corp lists this sample of salaries on their website:

$45,000 $55,000  $140,000  $70,000 $60,000 $50,000
What typical salary would Summit Systems need to have to be meaningfully different from Acme Corp? Explain your reasoning.

A factory manager is wondering whether they should upgrade their equipment. The manager keeps track of how many faulty products are created each day for a week. 6 7 8 6 7 5 7 The new equipment guarantees an average of 4 or fewer faulty products per day. Is there a meaningful difference between the new and old equipment? Explain your reasoning.

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