Given below are two statements: Statement I: In a ratio scale, the zero point…
2023
Given below are two statements: Statement I: In a ratio scale, the zero point is arbitrary. Statement II: The nominal scale allows ordering/ranking of data. In the light of the above statements, choose the correct answer from the options given below.
Answer: B. Both Statement I and Statement II are false — ConceptLevels of measurement differ by the mathematical properties their values retain. A ratio scale has equal intervals and a meaningful absolute zero,…
- A.
Both Statement I and Statement II are true
- B.
Both Statement I and Statement II are false
- C.
Statement I is true but Statement II is false
- D.
Statement I is false but Statement II is true
Attempted by 1 students.
Show answer & explanation
Correct answer: B
Concept
Levels of measurement differ by the mathematical properties their values retain.
A ratio scale has equal intervals and a meaningful absolute zero, while a nominal scale only labels categories and does not impose order.
Application
For Statement I, a ratio scale uses a meaningful absolute zero, so its zero is not arbitrary.
For Statement II, a nominal scale classifies observations into categories without an inherent rank.
Cross-check and contrast
An interval scale, not a ratio scale, may use an arbitrary zero.
An ordinal scale, not a nominal scale, supports ordering or ranking.
Therefore, both Statement I and Statement II are false.