IM 7.8.11 Lesson: Comparing Groups

What do you notice? What do you wonder?

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

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

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.

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

If Jada's family adopts newborn twins who are each 18 inches tall, does this change your thinking? Explain your reasoning.

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.

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.

Do you think the three groups are very different or not? Explain your reasoning.

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?