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Comparing Groups: IM 7.8.11
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1. Lesson 7.8.11
- IM 7.8.11 Lesson: Comparing Groups
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2. Practice 7.8.11
- IM 7.8.11 Practice: Comparing Groups
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Comparing Groups: IM 7.8.11
IM 6 – 8 Math, GeoGebra Classroom Activities, Aug 24, 2020

“Comparing Groups” from IM Grade 7 by Open Up Resources and Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 license.
Table of Contents
- Lesson 7.8.11
- IM 7.8.11 Lesson: Comparing Groups
- Practice 7.8.11
- IM 7.8.11 Practice: Comparing Groups
IM 7.8.11 Lesson: Comparing Groups
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How much taller is the volleyball team than the gymnastics team?
- Gymnastics team’s heights (in inches) : 56, 59, 60, 62, 62, 63, 63, 63, 64, 64, 68, 69
- Volleyball team’s heights (in inches): 72, 75, 76, 76, 78, 79, 79, 80, 80, 81, 81, 81
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Make dot plots in the applet below to compare the heights of the tennis and badminton teams.
- Tennis team’s heights (in inches): 66, 67, 69, 70, 71, 73, 73, 74, 75, 75, 76
- Badminton team’s heights (in inches): 62, 62, 65, 66, 68, 71, 73
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Elena says the members of the tennis team were taller than the badminton team. Lin disagrees. Do you agree with either of them? Explain or show your reasoning.
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Compare the heights of these two families. Explain or show your reasoning.
- The heights (in inches) of Noah’s family members: 28, 39, 41, 52, 63, 66, 71
- The heights (in inches) of Jada’s family members: 49, 60, 68, 70, 71, 73, 77
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If Jada's family adopts newborn twins who are each 18 inches tall, does this change your thinking? Explain your reasoning.
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Here are three dot plots that represent the lengths, in minutes, of songs on different albums.
Which one of these data sets has a mean of 5.57 minutes?
Which one of these data sets has a mean of 3.91 minutes?
Calculate the mean for the data set that wasn't the answer to the two previous questions.
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Which one of these data sets has a mean absolute deviation (MAD) of 0.30?
Which one of these data sets has a mean absolute deviation (MAD) of 0.44?
Calculate the mean absolute deviation (MAD) for the data set that wasn't the answer to the two previous questions.
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Do you think the three groups are very different or not? Explain your reasoning.
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A fourth album has a mean length of 8 minutes with a mean absolute deviation of 1.2. Is this data set very different from each of the others?
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IM 7.8.11 Practice: Comparing Groups
Compare the weights of the backpacks for the students in these three classes.

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A bookstore has marked down the price for all the books in a certain series by 15%.
How much is the discount on a book that normally costs $18.00?
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After the discount, how much would the book cost?
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Match each of the expressions below with an equivalent expression.
Angles and are complementary. The ratio of the measure of Angle to the measure of Angle is . Find the measure of each angle. Explain or show your reasoning.
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