Question

A researcher studied the relationship between students' attitudes toward graphs and their performance in a statistics course. For a sample of students, data were collected on the following variables: . Tests (average number of questions answered correctly) Attitudes toward Graphs (o student thinks that graphs used in the course did not contribute to his or her learning: 1-graphs contributed to learning) Gender (0 = male, 1 = female) Academic Major (1 = business, 2 = liberal arts, 3-science and mathematics; 4-engineering) . Age (in years) Recognizing the measurement scale of the data collected on each variable is important because the type of data dictates the appropriate data summary methods and statistical procedures. Which variable(s) in the data set are measured using a nominal scale? O Attitudes toward Graphs, Gender, and Academic Major Attitudes toward Graphs O None of the variables O Academic Major Which variable(s) in the data set are measured using an ordinal scale? O None of the variables Attitudes toward Graphs and Gender O Attitudes toward Graphs and Academic Major O Academic Major Which variable(s) in the data set are measured using a ratio scale? Tests and Age O Tests, Gender, and Age O Tests, Academic Major, and Age O Tests and Gender

Answer 1

Ans:

1)Nominal scale:

Academic Major(nominal,as they are just labels and no intrinsic ordering)

Gender(nominal,as no intrinsic ordering)

Attitude toward graphs(nominal,as no intrinsic ordering)

So,Attitude toward graphs,Gender and Academic major are Nominal.

2)Ordinal scale:

None of the variables.

3)Ratio Scale:

Tests(as average number of correct answers can be zero,so it ratio scale)

Age(as,age of zero at birth is meaningful,so ratio)

So,correct answer is Tests and Age.