Each year Sports Illustrated ranks the highest earning athletes in the
Each year Sports Illustrated ranks the highest earning athletes in the
Each year, Sports Illustrated ranks the highest-earning athletes in the United States. Their earnings include their salary/winnings as well as endorsements. Often the endorsements are more lucrative than their earnings. The top 20 earnings for 2008 are listed in the following table (in millions of $).
a. Find the mean earnings for the top 20 highest-paid athletes.
b. Find the median earnings for the top 20 highest-paid athletes.
c. Find the midrange of the earnings for the top 20 highest-paid athletes.
d. Write a discussion comparing the results from parts a, b, and c.
e. Find the standard deviation of these earnings.
f. Find the percentage of data that is within 1 standard deviation of the mean.
g. Find the percentage of data that is within 2 standard deviations of the mean.
c. Construct side-by-side boxplots of the two sets of data, using a common scale.
d. Discuss how these two sets of data compare. Do these two very small sets of data show convincing evidence of a difference?
h. Based on these results, discuss why or why not you think that the data are normally distributed.