A university department has the following distribution of salaries in dollars. (The list also shows the years at the university for each person.)

a) What is the mean salary? Median salary? Modal salary?

b) An observer looking at these figures says that the first person on the list, who is the department’s technical assistant but not part of the teaching faculty, should not be included in the salary listing. If Abe’s salary is removed from the distribution, how does this affect the mean? The median? The modal salary?

c) Consider the listing without Abe’s salary. Which salaries have positive Z-scores and which have negative Z-scores? How can you tell?

d) Compute the standard deviation and Z-scores for the distribution with and without Abe’s salary.

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Salary distributions table: Question 3, Part Two Abe Bella 27,000 40,000 + Carl Dalia Edo Fred Gina 48,000 48,000 54,000 60,000 60,000 10 Harry 65,000 Ilaria 74,000 Jonah 80,000 10 Ke'An 86,000 4543 m o 00 00 3 8 8 8 Leila 90,000 8