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]
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Information: IM 6.8.12 Lesson: Using Mean and MAD to Make Comparisons