Linear Transformations 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):
$$
30,30,45,50,50,50,55,55,60,75
$$
(a) Determine the mean, median, and mode for salary.
(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) $\$ 2500$ 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?
(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?
(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?