Unitless Measure of Dispersion
Which measure of dispersion is free from unit?
- Range
- Variance
- Standard deviation
- Coefficient of variance — Correct Answer
Explanation:
Correct Answer: Coefficient of variance
The Coefficient of Variance (CV) is a relative measure of dispersion that is completely free from units. This allows meaningful comparison of variability across datasets with different units or scales.
Formula
CV = (SD / AM) × 100
Where SD = Standard deviation, AM = Arithmetic mean
Measures of Dispersion — Absolute vs Relative
| Type | Measures | Has Units? |
|---|---|---|
| Measures of dispersion (Absolute) | Range, Mean deviation, Variance, Standard deviation | Yes |
| Relative measures of dispersion | Standard error (SE), Coefficient of variance (CV) | No (unit-free) |
Why Other Options Are Wrong
- Range: Has the same units as the data (e.g., kg, litres).
- Variance: Expressed in squared units (e.g., kg²).
- Standard deviation: Same units as the original data — not unit-free.
📚 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.
