Exam #1

Do not write on this paper, hand it back at the end of the exam!

Problem #1
4.0 6.5 6.0 3.0 7.5 6.5 9.0 4.5 3.5 5.5 4.5 6.0 8.0 5.5 15.5 3.5
Find the mean and the standard deviation of this data set. What would the mean be if we dropped the "15.5" from the dataset?

Problem #2 Find the first quartile and the 70^th percentile of the data in problem 1.

Problem #3 Consider the following dataset: 11 11 11 13 14 14 15 16 16 18 18 19 20 21 22 22 22 22 22 23 23 23 24 26 26 26 27 29 45 49. The data has the following 5-number summary:

Minimum Q₁ Median Q₃ Maximum

11 16 22 24 49

Draw the boxplot

Problem #4 For each of the following choose one of these options: This combination of summary statistics is

Possible Possible, but unlikely Not possible

If you choose "Possible but unlikely" or "Not possible" explain why
a) =1250 s=0.75
b) =12.0 median=23.5
c) s=250 range=300
d)

Minimum Q₁ Median Q₃ Maximum

-15 -4 7 16 16

e)

Minimum Q₁ Median Q₃ Maximum

10 22 57 45 99

f) =-5.1 s=-0.5

Problem 5 Consider the WRInc dataset. In MINITAB, how could you do the following? Give the sequence of MINITAB commands
a) Find the mean of the incomes
b) Find the mean of the incomes of the females
c) Find the ID number of the employee with the highest income
d) Find the percentage of employees with a Satisfaction of 5
e) Use the Calculator command to find the number of employees with a satisfaction of 4 or 5