Chapter 2, Exercises #15

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Refer to Exercise 1. Jackson, who reported owning 22 pairs of shoes, has a standardized score of z=1.10 .

a. Interpret this z-score.

b. The standard deviation of the distribution of number of pairs of shoes owned in this sample of 20 boys is 9.42. Use this information along with Jackson’s z-score to find the mean of the distribution.

**Exercise 1.**

How many pairs of shoes does a typical teenage boy own? To find out, two AP® Statistics students surveyed a random sample of 20 male students from their large high school. Then they recorded the number of pairs of shoes that each boy owned. Here is a dotplot of the data: