Benjamin owns a small internet business. besides himself, he employs nine other people. the salaries earned by the employees are given next 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?

show the steps.