Math CC7/8 – Mar. 15 Math Notebook: Things Needed Today (TNT):

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Presentation transcript:

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

What’s Happening Today? Begin 1.2 –Using MAD to compare samples

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.

Question What strategies might you use to evaluate numerical outcomes and judge success?

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!

Refer to handout

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).

This method will NOT help determine the most successful team because each team raised the same amount of money.

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.

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.

How about the median? Does it help?

MAD = $6 Similar problem On HW tonight! One MAD means you add (+) and subtract (-) your made from your mean (average) Example: 35 + 6 =41 35 – 6 = 29 Two MAD means you add (+) and subtract (-) your made from your mean (average) TWICE Example: 35 + 6 +6 =47 35 – 6 - 6 = 23 MAD = $6

MAD = $6

Homework: S&P 1.2 pg. 21, #3-5, 6 a-c (team 1 only), #19-20

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