Question:
Which of the following measure of dispersion is independent of the unit of measurement?
Which of the following measure of dispersion is independent of the unit of measurement?
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CV: unitless measure of dispersion.
Used to compare variability.
Independent of measurement unit.
Used to compare variability.
Independent of measurement unit.
Updated On: Aug 18, 2026
- Mean deviation
- Standard Deviation
- Variance
- Coefficient of Variation
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The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept:
Measures of dispersion have different properties.
Some are unit-dependent, others are not.
Step 2: Key Formula or Approach:
No specific formula.
Need to know the properties of dispersion measures.
Step 3: Detailed Explanation:
Mean deviation, SD, and variance have units.
They depend on the unit of measurement.
Coefficient of variation (CV) is unitless.
It is expressed as a percentage.
Thus, CV is independent of the unit.
Step 4: Final Answer:
Coefficient of variation is independent of the unit of measurement.
Hence, the correct option is (D).
Measures of dispersion have different properties.
Some are unit-dependent, others are not.
Step 2: Key Formula or Approach:
No specific formula.
Need to know the properties of dispersion measures.
Step 3: Detailed Explanation:
Mean deviation, SD, and variance have units.
They depend on the unit of measurement.
Coefficient of variation (CV) is unitless.
It is expressed as a percentage.
Thus, CV is independent of the unit.
Step 4: Final Answer:
Coefficient of variation is independent of the unit of measurement.
Hence, the correct option is (D).
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