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Which measure should be used to compare the variability of two data series expressed in different units?

Question and options

Which measure should be used to compare the variability of two data series expressed in different units?
  1. Standard deviation
  2. Range
  3. Coefficient of variation
  4. Mean deviation

Answer and explanation

Correct answer: C - Coefficient of variation
The coefficient of variation divides the standard deviation by the mean (usually expressed as a percentage), so the units cancel and the result can be compared across series measured in different units. The standard deviation, the range and the mean deviation are absolute measures stated in the units of the data, so they cannot fairly compare, say, heights in centimetres with weights in kilograms.

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