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CA Foundation · Quantitative Aptitude · Statistical Description of Data

A survey records customers' satisfaction with a service as Poor, Average, Good or Excellent. On which scale of measurement are these data, and what is a feature of that scale?

The satisfaction ratings are on an ordinal scale. The categories Poor, Average, Good and Excellent can be ranked in order, but the distances between them cannot be measured or assumed equal, so the data are not interval or ratio.

  1. ANominal scale; categories have no natural order
  2. BOrdinal scale; categories can be ranked but differences between them are not measurableCorrect
  3. CInterval scale; differences between categories are equal and measurable
  4. DRatio scale; there is a true zero and ratios are meaningful

Explanation

Poor, Average, Good and Excellent have a natural order, so the scale is more than nominal. The gaps between levels are not measurable or equal, so it is not interval or ratio. This makes it an ordinal scale.

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