Question

1. Consider the following data set regarding six company employees who report to the same manager in a local office:

Employee	A Birth Place	B Monthly Salary (Nearest Dollar)	C Current Rating	D Rating Score (1.0 – 5.0)	E Driving Distance Residence to Office (Miles)	F Parking Permits Issued
Sue	Williamsburg, VA	2,916	Meets	3.2	2.3	1
Fred	Boone, NC	2,500	Below	1.8	20.2	1
Mark	Key West, FL	1,000	Meets	2.9	0.5	0
Dontay	Smugglers Notch, VT	2,000	Exceeds	4.3	365.4	1
Margie	Muleshoe, TX	1,900	Meets	3.0	5.7	2
Blake	Lancaster, PA	4,500	Meets	3.4	1.6	1

List the column letter(A,B,C,D,E,F) associated with the following questions.

a. Which variables arecategorical (qualitative)? Answer: ___________________

b. Which variables are numerical (quantitative)?Answer: ___________________

c. Which of the variables, if any, arediscrete?     Answer: ___________________

d. Which variables, if any, are continuous?         Answer: ___________________

e. Which variables, if any, requireanIntervalScale? Answer: ________________

f. Which variables, if any, requirean OrdinalScale? Answer: ________________

g. Which variables, if any, requirea NominalScale? Answer: ________________

h. Which variables, if any, requirea Ratio Scale?     Answer: _______________

Answer 1

a. Which variables are categorical (qualitative)?

Answer: Birth Place, Current Rating, Parking Permits Issued

Each can be classified as categories.

b. Which variables are numerical (quantitative)?

Answer: Driving Distance Residence to Office (Miles), Monthly Salary (Nearest Dollar), Rating Score(1.0 – 5.0)

Each has the numeric value and the numeric operations are possible.

c. Which of the variables, if any, are discrete?     

Answer: Parking Permits Issued, Birth Place, Current Rating, Monthly Salary (Nearest Dollar)

Each can be classified as separate values and their frequencies can be counted. Salary included because that can only take rounded off values.

d. Which variables, if any, are continuous?

Answer: Driving Distance Residence to Office (Miles), Rating Score(1.0 – 5.0)

Each can take any real value within a particular range and mathematical operations are possible. Salary excluded because that can only take rounded off values.

e. Which variables, if any, require an Interval Scale?

Answer: Rating Score(1.0 – 5.0), Driving Distance Residence to Office (Miles), Monthly Salary (Nearest Dollar)

Can be interpret as numeric and can not obtain true zero.

f. Which variables, if any, require an Ordinal Scale?

Answer: Current Rating, Parking Permits Issued

Can be classified in categories and can compared based on levels.

g. Which variables, if any, require a Nominal Scale?

Answer: Birth Place

Can be classified in categories and can not be compared with each other.

h. Which variables, if any, require a Ratio Scale?

None