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Mean and Median of Baseball 2000 Data

70. Refer to the Baseball 2000 data (Appendix K), which reports information for the 30 Major League
Baseball teams for the 2000 season.

a. Determine the mean and the median team salary. Does one measure of central tendency seem
better, or more representative, than the other?
b. Determine the mean and the median attendance per team. Does one measure of central tendency
seem better, or more representative, than the other?
c. Determine the mean and the median number of home runs per team. Does one measure of central
tendency seem better, or more representative, than the other?
d. Determine the rate of increase in players' salaries from 1989 to 2000. As a basis of comparison,
in 1988 the Consumer Price Index was 118.3, in 2000 it was 166.9. Compute the rate of
inflation in the Consumer Price Index and compare it to the rate of increase in baseball players'
salaries.

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a.)
The mean = sum(salary)/30 = $56.67
Median = $54.95
Standard deviation S.D. = $24.54

Though the mean and median are very close one another, but the S.D. is very large (100*S.D./mean ~ 43.3% of mean). Therefore, these data show that salary data are representative than the ...

Solution Summary

70. Refer to the Baseball 2000 data (Appendix K), which reports information for the 30 Major League
Baseball teams for the 2000 season.

a. Determine the mean and the median team salary. Does one measure of central tendency seem
better, or more representative, than the other?
b. Determine the mean and the median attendance per team. Does one measure of central tendency
seem better, or more representative, than the other?
c. Determine the mean and the median number of home runs per team. Does one measure of central
tendency seem better, or more representative, than the other?
d. Determine the rate of increase in players' salaries from 1989 to 2000. As a basis of comparison,
in 1988 the Consumer Price Index was 118.3, in 2000 it was 166.9. Compute the rate of
inflation in the Consumer Price Index and compare it to the rate of increase in baseball players'
salaries.

$2.19