Measures of Dispersion
Which of the following is a measure of dispersion-
- Range
- Standard deviation
- Variance
- All the above — Correct Answer
Explanation:
Correct Answer: All the above
Range, Standard Deviation, and Variance are all measures of dispersion — they describe the degree to which data tends to spread around an average.
Measures of Dispersion — Key Facts
| Measure | Definition | Notes |
|---|---|---|
| Range | Difference between largest and smallest value | Simplest; most affected by extreme values; includes 100% of items |
| Mean Deviation | Mean absolute deviation from average | Least affected by extreme values |
| Standard Deviation (S.D.) | Square root of variance | Ideal measure of dispersion; S.D. = 5/4 × M.D.; always > Mean Deviation |
| Variance | Square of Standard Deviation | V = S.D.² |
Relative Measures of Dispersion
- Standard Error (SE) = S.D. / √N
- Coefficient of Variance (CV) = (S.D. / A.M.) × 100 → only true relative measure
Why Other Options Are Wrong
- None of the individual options is wrong — Range, Standard Deviation, and Variance are all measures of dispersion → "All the above" is the complete answer.
📚 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.