Match List-I with List-II LIST I (Type of Variables) LIST II (Example) A.…
2024
Match List-I with List-II
LIST I (Type of Variables) | LIST II (Example) |
A. Nominal | I. Anger level |
B. Ordinal | II. Crop yield |
C. Interval | III. Type of forest |
D. Ratio | IV. Temperature in Fahrenheit |
Choose the correct answer from the options given below:
- A.
A-I, B-II, C-IV, D-III
- B.
A-I, B-II, C-III, D-IV
- C.
A-III, B-I, C-IV, D-II
- D.
A-III, B-IV, C-I, D-II
Show answer & explanation
Correct answer: C
Stevens' four levels of measurement classify any variable using two tests: whether its categories carry an inherent ORDER, and whether the scale has EQUAL, quantifiable units together with a TRUE (absolute) zero that would mean ‘none of the quantity.’ A scale with no order is Nominal; order but no fixed unit of difference is Ordinal; order plus equal units but no true zero is Interval (only differences are meaningful); order plus equal units plus a true zero is Ratio (both differences and ratios are meaningful).
Nominal: pure categories/labels with no ranking, e.g. blood group, gender.
Ordinal: ranked categories, but the gap between ranks is not a fixed, quantifiable unit, e.g. class rank, satisfaction level.
Interval: equal, quantifiable units of difference, but zero is only a reference point, not an absolute absence, e.g. calendar year, temperature in Celsius/Fahrenheit.
Ratio: equal, quantifiable units AND a true zero meaning ‘none,’ so proportional comparisons are valid, e.g. mass, length, yield.
Applying this test to each List-II example:
List-II Example | Order? | Equal, quantifiable unit? | True (absolute) zero? | Scale |
|---|---|---|---|---|
Anger level | Yes (mild < moderate < severe) | No fixed unit of difference | Not applicable | Ordinal |
Crop yield | Yes | Yes (kg/tonnes are equal units) | Yes — 0 means no yield | Ratio |
Type of forest | No — a pure category label | Not applicable | Not applicable | Nominal |
Temperature in Fahrenheit | Yes | Yes (each degree is an equal unit) | No — 0°F is an arbitrary reference, not ‘no heat’ | Interval |
So the four pairs are: A. Nominal → III. Type of forest; B. Ordinal → I. Anger level; C. Interval → IV. Temperature in Fahrenheit; D. Ratio → II. Crop yield — i.e., A-III, B-I, C-IV, D-II.
Cross-check with an independent test — ‘does zero mean none, and does double the reading mean double the quantity?’: for crop yield, 0 kg is truly no yield and 20 kg is genuinely twice 10 kg, confirming Ratio. For temperature in Fahrenheit, 0°F is not ‘no heat’ and 80°F is not physically twice as hot as 40°F, confirming Interval rather than Ratio. This independently corroborates the same mapping derived above.