Match List - I with List - II. List I — Scale of measurement List II — Example…
2024
Match List - I with List - II.
List I — Scale of measurement | List II — Example of variable |
|---|---|
A. Nominal | I. Weight of students |
B. Ordinal | II. Ethnicity |
C. Interval | III. Degree of annoyance |
D. Ratio | IV. Date of birth |
Choose the correct answer from the options given below :
Answer: B. A-II, B-III, C-IV, D-I — ConceptMeasurement scales classify variables by the mathematical properties their values possess. A nominal scale supplies labels only; an ordinal scale adds…
- A.
A-I, B-II, C-III, D-IV
- B.
A-II, B-III, C-IV, D-I
- C.
A-III, B-IV, C-I, D-II
- D.
A-IV, B-I, C-II, D-III
Show answer & explanation
Correct answer: B
Concept
Measurement scales classify variables by the mathematical properties their values possess. A nominal scale supplies labels only; an ordinal scale adds rank; an interval scale adds equal differences without a true zero; and a ratio scale also has a meaningful zero, so ratios are meaningful.
Application
Nominal variables are unordered categories. Ethnicity is categorical, so A pairs with II.
Ordinal variables have an order, but the gaps between levels need not be equal. Degree of annoyance is an ordered rating, so B pairs with III.
Interval variables have equal units but no absolute zero. Calendar dates, including dates of birth, support meaningful differences but not meaningful ratios, so C pairs with IV.
Ratio variables have equal units and a true zero. Student weight has these properties, so D pairs with I.
Cross-check and contrast
Scale | Matched variable |
|---|---|
Nominal | Ethnicity |
Ordinal | Degree of annoyance |
Interval | Date of birth |
Ratio | Weight of students |
A-I, B-II, C-III, D-IV assigns weight to the nominal scale and date of birth to the ratio scale.
A-III, B-IV, C-I, D-II assigns annoyance degree to nominal and ethnicity to ratio.
A-IV, B-I, C-II, D-III assigns date of birth to nominal and weight to ordinal.
The four examples use the four defining properties once each: category, rank, equal difference, and true-zero ratio. Therefore the complete matching is A-II, B-III, C-IV, D-I.