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CA Foundation · Quantitative Aptitude · Statistical Description of Data

Which of the following is an operation that is meaningful for ratio-scale data but NOT for interval-scale data?

Forming meaningful ratios, such as saying one value is twice another, is valid only for ratio-scale data, because it requires a true zero. Interval data still allow differences, ranking and counting, but their arbitrary zero makes ratios meaningless.

  1. AForming ratios such as saying one value is twice anotherCorrect
  2. BComputing differences between two values
  3. CRanking the values in order
  4. DCounting the number of observations in each category

Explanation

Ratio scale has a true zero, so statements like 'twice as much' are valid. Interval data permit differences, ranking and counting, but ratios are not meaningful because zero is arbitrary. Hence only the ratio comparison separates the two scales.

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