1. Here are two dot plots and two stories. Match each story with a dot plot that could represent it. Be prepared to explain your reasoning.

   

   <p>A dot plot from 10 to 75 by 5’s. Age in years. Labeled data set A, beginning at 10, 5 dots between 15 and 20. 7 dots between 40 and 45. 7 dots between 45 and 50. 1 dot between 55 and 60.</p>  

   

   <p>A dot plot from 10 to 75 by 5’s. Age in years. Labeled data set B, beginning at 10, 6 dots between 15 and 20. 2 dots between 30 and 35. 1 dot between 35 and 40. 1 dot on 40. 3 dots between 40 and 45. 3 dots between 45 and 50. 4 dots between 60 and 65.</p>

   • Twenty high school students, teachers, and invited guests attend a rehearsal for a high school musical. The mean age is 38.5 years and the MAD is 16.5 years.

   • High school soccer team practice is usually watched by supporters of the players. One evening, twenty people watch the team practice. The mean age is 38.5 years and the MAD is 12.7 years.
2. Another evening, twenty people watch the soccer team practice. The mean age is similar to that from the first evening, but the MAD is greater (about 20 years).

   Make a dot plot that could illustrate the distribution of ages in this story.

   

Here are data that show the numbers of siblings of ten students in Tyler’s class.

1. Represent the data shown with a dot plot.

2. Without making any calculations, estimate the center of the data based on your dot plot. What is a typical number of siblings for these sixth-grade students? Mark the location of that number on your dot plot.

3. Find the mean. Show your reasoning.
4. 1. How does the mean compare to the value that you marked on the dot plot as a typical number of siblings? (Is it a little larger, a lot larger, exactly the same, a little smaller, or a lot smaller than your estimate?)

   2. Do you think the mean summarizes the data set well? Explain your reasoning.

1. Your teacher will give you an index card. Write your first and last names on the card. Then record the total number of letters in your name. After that, pause for additional instructions from your teacher.

2. Here is a data set on numbers of siblings.

   1

   0

   2

   1

   7

   0

   2

   0

   1

   10

   1. Sort the data from least to greatest, and then find the median.
   2. In this situation, do you think the median is a good measure of a typical number of siblings for this group? Explain your reasoning.

3. Here is the dot plot showing the travel time, in minutes, of Elena’s bus rides to school.

   

   1. Find the median travel time. Be prepared to explain your reasoning.
   2. What does the median tell us in this context?