Answer Happy

Benjamin owns a small Internet business. Besides himself, he employs nine other people. The salaries earned by the employees are given below in thousands of dollars (Benjamin's salary is the largest, of course). Complete parts (a) through (d). 20, 30, 40, 50, 50, 55, 55, 55, 65, 80

(a) Determine the mean, median, and mode for salary. The mean salary is 50 thousand dollars. (Type an integer or a decimal.) The median salary is 52.5 thousand dollars. (Type an integer or a decimal.) Select the correct choice below and fill in any answer boxes in your choice. I A. The mode salary is 55 thousand dollars. (Type an integer or a decimal. Use a comma to separate answers as needed.) B. There is no mode.

(b) Business has been good! As a result, Benjamin has a total of $25,000 in bonus pay to distribute to his employees. One option for distributing bonuses is to give each employee (including himself) $2,500. Add the bonuses under this plan to the original salaries to create a new data set. Recalculate the mean, median, and mode. How do they compare to the originals? The mean for the new data set is 5.5 thousand dollars. (Type an integer or a decimal.) The median salary for a new data set is 55 thousand dollars. (Type an integer or a decimal.) Select the correct choice below and fill in any answer boxes in your choice. A. The mode salary for the new data set is 57.5 thousand dollars. (Type an integer or a decimal. Use a comma to separate answers as needed.) B. There is no mode. How do the mean, median, and mode compare to the originals? A. The mean increased by $2,500, but the median and the mode did not change. B. The mean, median, and mode did not change. C. All three measures increased by $2,500. D. All three measures increased by 10%.

(c) As a second option, Benjamin can give each employee a bonus of 5% of his or her original salary. Add the bonuses under this second plan to the original salaries to create a new data set. Recalculate the mean, median, and mode. How do they compare to the originals? The mean for the new data set is 52.5 thousand dollars. (Type an integer or a decimal.) The median salary for the new data set is 55.125 thousand dollars. (Type an integer or a decimal.) Select the correct choice below and fill in any answer boxes in your choice. A. The mode salary for the new data set is 57.75 thousand dollars. (Type an integer or a decimal. Use a comma to separate answers as needed.) B. There is no mode. How do the mean, median, and mode compare to the originals? A. The mean, median, and mode did not change. B. The mean increased by $2,500, but the median and the mode did not change. C. All three measures increased by 5%. D. The mean increased by 10%, but the median and the mode did not change.

(d) As a third option, Benjamin decides not to give his employees a bonus at all. Instead, he keeps the $25,000 for himself. Use this plan to create a new data set. Recalculate the mean, median, and mode. How do they compare to the originals? The mean for the new data set is 52.5 thousand dollars. (Type an integer or a decimal.) The median salary for the new data set is 52.5 thousand dollars. (Type an integer or a decimal.) Select the correct choice below and fill in any answer boxes in your choice. A. The mode salary for the new data set is 55 thousand dollars. (Type an integer or a decimal. Use a comma to separate answers as needed.) B. There is no mode. How do the mean, median, and mode compare to the originals? A. The mean increased by $2,500, but the median and the mode did not change. B. All three measures increased by 10%. C. The mean, median, and mode did not change. D. All three measures increased by $2,500.