Dimensionless Measure of Dispersion

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 and is free from units (dimensionless).

Formula

CV = (SD / AM) × 100

Where SD = Standard Deviation and AM = Arithmetic Mean.

Relative vs Absolute Measures
  • Relative measures (no units): Coefficient of Variance (CV), Standard Error (SE)
  • Absolute measures (have units): Range, Variance, Standard Deviation, Mean Deviation

Example: If AM = 20 and SD = 10, then CV = (10/20) × 100 = 50%.

📚 About this Topic — Animal Genetics & Breeding

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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