The salaries of superstar professional athletes receive much attention in the media. The multimillion-dollar long-term contract is now commonplace among this elite group Nevertheless, rarely does a season pass without negotiations between one or more of the players' associations and team owners for additional salary and fringe benefits for all players in their particular sports. Complete parts a and b below. a. If a players' association wanted to support its argument for higher "average" salaries, which measure of central tendency do you think it should use? Why? O A. The players' association would want to use the mean to support its argument for higher "average" salaries because the mean is the average value of all salaries. This is the preferred measure of center because it most accurately depicts the players' salaries and would be most likely to result in a higher pay increase. OB. The players' association would want to use the mode to support its argument for higher "average" salaries because the mode is the value that occurs most often. This is the preferred measure of center because it most accurately depicts the players' salaries and would be most likely to result in a higher pay increase. OC. The players' association would want to use the median to support its argument for higher "average" salaries because the median is the value at which half of the data values are higher than it. This is the preferred measure of center because it most accurately depicts the players' salaries and would be most likely to result in a higher pay increase b. To refute the argument, which measure of central tendency should the owners apply to the players' salaries? Why? O A. To refute the argument, the owners should use the median because the median is the value at which half of the data values are higher than it. The median is affected by extreme values, so using the median would most likely result in a lower pay increase. O B. To refute the argument, the owners should use the mean because the mean is the average value of all the players' salaries. The mean is affected by extreme values, so using the mean would most likely result in a lower pay increase. OC. To refute the argument, the owners should use the mode because the mode is the value that occurs most often. The mode is affected by extreme values, so using the mode would most likely result in a lower pay increase.
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