Question

1. The following data set provides information about five college professors. Name Specialty Sex Age Rank Able Bastien Management F 33 Full Professor Martin Marketing Ross Finance Young Accounting Economics M 40 Associate Professor M 52 Associate Professor F 30 Assistant Professor F 35 Assistant Professor a. How many elements are in this data set? b. How many variables are in this data set? c. How many observations are in the above data set? d. Which variables are qualitative and which are quantitative variables? e. What measurement scale is used for each variable?

Answer 1

(a) Number of elements = 5

Elements are the entities on which data are collected. Here data arecollected on the 5 Names

(b) Number of variables = 5

Variable is a characteristic of interest for the element. Here, Variables are: Name, Specialty, Sex, Age, Rank

(c) Number of observations = 5 X 5 = 25

Observations are the set of measurements collected for a particular element

(d)

(i) Variable 1: Name: Qualitative

(ii) Variable 2: Specialty: Qualitative

(iii) Variable 3: Sex: Qualitative

(iv) Variable 4: Age: Quantitative

(v) Variable 5: Rank: Qualitative

(e)

(i) Variable 1: Name: Nominal

(ii) Variable 2: Specialty: Nominal

(iii) Variable 3: Sex: Nominal

(iv) Variable 4: Age: Ratio

(v) Variable 5: Rank: Ordinal