Calculating Coefficient of Variance
If Arithmetic mean is 20 & Standard deviation is 10 then find out coefficient of variance-
- 2
- 50 — Correct Answer
- 25
- 20
Explanation:
Correct Answer: 50
The Coefficient of Variance (CV) measures relative dispersion by expressing standard deviation as a percentage of the arithmetic mean. It is a pure, unit-free number.
Step-by-Step Calculation
- Given: Arithmetic Mean (A.M.) = 20; Standard Deviation (S.D.) = 10
- Formula: CV = (S.D. / A.M.) × 100
- CV = (10 / 20) × 100 = 0.5 × 100 = 50%
Summary of Statistical Formulas
| Measure | Formula |
|---|---|
| Standard Error (SE) | S.D. / √N |
| Coefficient of Variance (CV) | (S.D. / A.M.) × 100 |
| S.D. from M.D. | (5/4) × M.D. |
| Variance | S.D.² |
Why Other Options Are Wrong
- 2 → that is A.M. / S.D. (inverted ratio); wrong formula
- 25 → that is S.D. / A.M. × 50; incorrect multiplier
- 20 → equals the A.M. itself; no formula gives this result here
📚 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.
