IM 6.8.12 Lesson: Using Mean and MAD to Make Comparisons
Find the value of each expression mentally.
[math]42\div12[/math]
[math]2.4\div12[/math]
[math]44.4\div12[/math]
[math]46.8\div12[/math]
Andre and Noah joined Elena, Jada, and Lin in recording their basketball scores. They all recorded their scores in the same way: the number of baskets made out of 10 attempts. Each collected 12 data points.
[list][*]Andre’s mean number of baskets was 5.25, and his MAD was 2.6.[/*][*]Noah’s mean number of baskets was also 5.25, but his MAD was 1.[/*][/list][br]Here are two dot plots that represent the two data sets. The triangle indicates the location of the mean.[br][br][img]data:image/png;base64,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[/img][br][br]Without calculating, decide which dot plot represents Andre’s data and which represents Noah’s. Explain how you know.
If you were the captain of a basketball team and could use one more player on your team, would you choose Andre or Noah? Explain your reasoning.
An eighth-grade student decided to join Andre and Noah and kept track of his scores. His data set is shown here. The mean number of baskets he made is 6.
Calculate the MAD. Show your reasoning.
Draw a dot plot to represent his data and mark the location of the mean with a triangle.
Compare the eighth-grade student’s mean and MAD to Noah’s mean and MAD. What do you notice?
Compare their dot plots. What do you notice about the distributions?
What can you say about the two players’ shooting accuracy and consistency?
Invent a data set with a mean of 7 and a MAD of 1. You can use the table below to help you.
In 1984, the mean age of swimmers on the U.S. women’s swimming team was 18.2 years and the MAD was 2.2 years. In 2016, the mean age of the swimmers was 22.8 years, and the MAD was 3 years.
How has the average age of the women on the U.S. swimming team changed from 1984 to 2016? Explain your reasoning.
Are the swimmers on the 1984 team closer in age to one another than the swimmers on the 2016 team are to one another? Explain your reasoning.
Here are dot plots showing the ages of the women on the U.S. swimming team in 1984 and in 2016. Use them to make two other comments about how the women’s swimming team has changed over the years.[br][br][img]data:image/png;base64,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[/img]
IM 6.8.12 Practice: Using Mean and MAD to Make Comparisons
The dot plots show the amounts of time that ten U.S. students and ten Australian students took to get to school.[br][br][img]data:image/png;base64,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[/img][br][br]Which statement is true about the MAD of the Australian data set?
The dot plots show the amounts of time that ten South African students and ten Australian students took to get to school. Without calculating, answer the questions.
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[/img][br][br]Which data set has the smaller mean? Explain your reasoning.
Which data set has the smaller MAD? Explain your reasoning.
What does a smaller mean tell us in this context?
What does a smaller MAD tell us in this context?
Two high school basketball teams have identical records of 15 wins and 2 losses. Sunnyside High School's mean score is 50 points and its MAD is 4 points. Shadyside High School's mean score is 60 points and its MAD is 15 points.[br][br]Lin read the records of each team’s score. She likes the team that had nearly the same score for every game it played. Which team do you think Lin likes? Explain your reasoning.
Jada thinks the perimeter of this rectangle can be represented with the expression [math]a+a+b+b[/math]. Andre thinks it can be represented with [math]2a+2b[/math]. Do you agree with either of them? Explain your reasoning.[br][br][img]data:image/png;base64,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[/img]
Plot and label three numbers between -2 and -8 (not including -2 and -8).
Use the numbers you plotted and the symbols < and > to write three inequality statements.
Adult elephant seals generally weigh about 5,500 pounds. If you weighed 5 elephant seals, would you expect each seal to weigh exactly 5,500 pounds? Explain your reasoning.