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Math CC7/8 – Mar. 15 Math Notebook: Things Needed Today (TNT):
Pencil/Math Notebook/Calculator/Book Sample & Population 1.2 Math Notebook: Topic: Using MAD to Compare Samples HW: p. 21 #3-5, 6 a-c (team 1 only), #19-20
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What’s Happening Today?
Begin 1.2 –Using MAD to compare samples
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A middle school’s Hiking Club holds a fundraiser each Spring.
The club sells granola bars and packages of trail mix. The 35 club members form 6 fundraising teams. Each team is a sample of students from the club. The most successful team receives a prize.
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Question What strategies might you use to evaluate numerical outcomes and judge success?
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The faculty advisor posts the money ($) the team raised on a bulletin board.
S&P pg. 10 Which team is the most successful and deserves to win the prize? Explain!
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Refer to handout
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Team 3 has the biggest range ($90).
Con’t of A: Make a line plot of each team’s data. Use a scale that makes it easy to compare results among teams. Write 3 sentences that compare the distributions. Team 3 has the biggest range ($90). Team 1 has the smallest range ($20). Team 4 has the smallest minimum value ($0). Team 3 has the greatest maximum value ($100).
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This method will NOT help determine the most successful team because each team raised the same amount of money.
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Since the totals are the same, the means of all the teams are the same except team 5. Team 5 has only 5 members, so their mean will be higher. So, if a team’s success is measured by the average amount raised, this strategy helps determine the most successful team.
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If a team’s success is measured in terms of variability (or low variability), this strategy helps determine the most successful team. Team 6 has the least variability – only $5 from the mean.
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How about the median? Does it help?
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MAD = $6 Similar problem On HW tonight!
One MAD means you add (+) and subtract (-) your made from your mean (average) Example: =41 35 – 6 = 29 Two MAD means you add (+) and subtract (-) your made from your mean (average) TWICE Example: =47 35 – = 23 MAD = $6
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MAD = $6
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Homework: S&P 1.2 pg. 21, #3-5, 6 a-c (team 1 only), #19-20
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2. Mean Absolute Deviation 3. Inter quartile range
A list of measures of variability used in Statistics 1. Range 2. Mean Absolute Deviation 3. Inter quartile range
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