bob	12000
tim	13000
judy	13500
jane	16000
mary	20000

a) Whatisthemeansalaryandmedianoftheabovedataset?

b) Whathappens if another person enters with a salary of $93000?

c) Whatisthevariance ofbothdatasets(a)and(b)?

d) Whatdoesitmeanifthestandarddeviationis0?

2. Discussthefollowingquestions:

a) Does the mean have to be one of the numbers in a data set? Explain.

b) Does the median have to be one of the numbers in a data set? Explain.

c) How does an outlier affect the mean and the median of a data set? Explain.

d) What is smallest standard deviation that you can calculate and what would it mean if you found it?

3. Ten observation are given:

4,7,2,9,12,2,20,10,5,9

Determinethemedian,upperandlowerquartileandtheinterquartilerange.

4. Theaveragesalariesfor25employeesatacompanyisgiven.Find theaveragestartingsalary?

• 3 MBAs: $55,500
• 7 business: $33,000
• 9 Engineers: $83,000
• 2 Administration: $33,000
• 4 Technical: $68,000

5. Two sets of multiple-choice tests with different conditions have been studied. In the first data set, a typical multiple-choice test is administered. In the second data set, alternative choices (i.e. incorrect answers) are randomly assigned. The results from the two data sets are:

	Regular test	Randomized answers
mean	79.9	34.8
SD	10.2	10.7

Compare the two test results and explain your interpretation.