I attached the files.

Name:

1. 1. Sarah and Andrew were comparing prices of their favorite energy bar. Eight grocery stores sell the PR energy bar for the following prices:

$1.09 $1.29 $1.29 $1.35 $1.39 $1.49 $1.59 $1.79

Sarah claims the average price of the candy bar is $1.37 but Andrew disagreed and said the average price of the energy bar is actually $1.41. How did Sarah and Andrew come up with these prices? Based on their calculations, who do you think is correct and why?

1. 1. Ms. Smith, a math teacher, recently gave a mathematics quiz in her class. The ten quiz scores were:

89 87 93 90 12 91 88 87 83 91

1. Based on the test scores above, would you say the class did well? Why or why not?

1. If you were Ms. Smith, which average would you use to describe the data: mean, median, or mode?

1. 1. Suppose that five graduating seniors on a college basketball team receive the following first- year contract offers to play in the National Basketball Association (zero indicates that the player did not receive a contract offer):

0 0 0 0 $10,000,000

The college claimed that the average senior on this basketball team received a $2 million contract offer.

1. Explain how the college came up with this number and why this statement may be misleading.

1. Would another measure of central tendency be a better representative of the data? Support your answer.

Analysis

1. As with the Part I Activity, determine which “average” would be a better fit for the data given. Notice that the first two scenarios are very similar to those done in the activity. Given a dataset, calculate and determine whether the mean or median would be a better representation of the data. As you work through these two problems, be sure to calculate BOTH the mean and median. Be careful in how you choose which “average” to use since the question asks for a particular value.

1. For the second part of this activity, determine which “average” would be a better representation WITHOUT being given a specific data set. This will require you to think about WHO is requesting or wants the data and then determine which “average” would better suit their needs. In real-life settings, most companies like to portray themselves in a better “light,” so you will have to think critically about how best to do that. Try to think of all the possibilities that can occur and if you need to, “create” a data set to help you determine which “average” to choose.