Question

1.17 Classify each of the following qualitative variables as ordinal or nominative. Explain your answers.

Qualitative Variable Categories
Statistics course letter grade A B C D F
Door choice on Let’s Make A Deal Door #1 Door #2
Television show classifications TV-G TV-PG TV-14 TV-MA
Personal computer ownership Yes No
Restaurant rating ***** **** *** ** *
Income tax filing status Married filing jointly Married filing separately
Single Head of household Qualifying widow(er)

Answer 1

Answer on Question #43931, Math, Statistics and Probability

Problem.

1.17 Classify each of the following qualitative variables as ordinal or nominative. Explain your answers.

Qualitative Variable Categories

Statistics course letter grade A B C D F

Door choice on Let's Make A Deal Door #1 Door #2

Television show classifications TV-G TV-PG TV-14 TV-MA

Personal computer ownership Yes No

Restaurant rating *** *** *** ***

Income tax filing status Married filing jointly Married filing separately

Single Head of household Qualifying widow(er)

Solution.

1) The variable that has categories

Statistics course letter grade A B C D F

is ordinal, as there exists native ordering, as the grade A is better than grade B, the grade B is better than grade C, the grade C is better than grade D, the grade D is better than grade F.

2) The variable that has categories

Door choice on Let's Make A Deal Door #1 Door #2

is nominative, as there doesn't exist native ordering.

3) The variable that has categories

Television show classifications TV-G TV-PG TV-14 TV-MA

is ordinal, as there exists native ordering, as the rating TV-G is smaller than TV-PG, TV-PG is smaller than TV-14, TV-14 is smaller than TV-MA.

4) The variable that has categories

Personal computer ownership Yes No

is nominative, as there doesn't exist native ordering.

5) The variable that has categories

Restaurant rating *** *** *** ***

is ordinal, as there exists native ordering, as the rating *** is better than rating ***, the rating *** is better than rating **, the rating ** is better than rating *,

6) The variable that has categories

Income tax filing status Married filing jointly Married filing separately

Single Head of household Qualifying widow(er)

is nominative, as there doesn't exist native ordering.

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