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Match the following attributes of a city with the appropriate scale of measurements. Attribute / Scale of measurement (P) Average temperature (°C) of a city / (I) Interval (Q) Name of a city / (II) Ordinal (R) Population density of a city / (III) Nominal (S) Ranking of a city based on ease of business / (IV) Ratio Which one of the following combinations is correct?

1. (P)-(I), (Q)-(III), (R)-(IV), (S)-(II)
2. (P)-(II), (Q)-(I), (R)-(IV), (S)-(III)
3. (P)-(II), (Q)-(III), (R)-(IV), (S)-(I)
4. (P)-(I), (Q)-(II), (R)-(III), (S)-(IV)

Correct answer: (P)-(I), (Q)-(III), (R)-(IV), (S)-(II)

Solution

The correct option matches average temperature with the interval scale, as it has meaningful differences but no true zero. The name of a city is a nominal scale since it categorizes without order. Population density is best represented on a ratio scale due to its true zero and the ability to compare magnitudes, while the ranking of a city based on ease of business is ordinal, reflecting a ranked order without precise differences.

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