Measure of Dispersion Free from Units

Question

Which measure of dispersion is free from units (dimensionless)?

Select an answer

Which measure of dispersion is free from units (dimensionless)?

  1. Range
  2. Variance
  3. Standard deviation
  4. Coefficient of variance — Correct Answer
Explanation:
Correct Answer: Coefficient of variance (CV)

The Coefficient of Variance (CV) is a relative measure of dispersion that is free from units (dimensionless). Formula: CV = (SD / AM) × 100, where AM = Arithmetic Mean. It is expressed as a percentage.

Relative vs Absolute Measures of Dispersion
Category Measures
Absolute measures (have units) Range, Mean Deviation, Standard Deviation, Variance
Relative measures (unit-free) Coefficient of Variance (CV), Standard Error (SE)

CV is particularly useful for comparing variability between datasets with different units or different means.

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This multiple choice question is from Animal Genetics & Breeding, Animal Refresher. It has 4 options with a detailed explanation of the correct answer. Practice more MCQs from Animal Genetics & Breeding to strengthen your preparation.

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