Central Tendency & DispersionPYQ Jan. 21Question 3130 of 473
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The best statistical measure used for comparing two series is

Options

AMean absolute deviation
BRange
CCoefficient of variation
DStandard deviation
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Correct Answer

✅ Option c — Coefficient of variation

All Options:

  • AMean absolute deviation
  • BRange
  • CCoefficient of variation
  • DStandard deviation

Detailed Solution & Explanation

**Analysis of each option:** - **Range:** Only considers two extreme values (max and min); not reliable for comparison. - **Mean Absolute Deviation (MAD):** Absolute measure of dispersion; affected by the scale of measurement, hence not directly comparable across different series. - **Standard Deviation (SD):** An absolute measure; cannot be used to compare series with different units or different means. - **Coefficient of Variation (CV):** A relative measure defined as: CV=σxˉ×100%CV = \frac{\sigma}{\bar{x}} \times 100\% CV is dimensionless (expressed as a percentage), making it ideal for comparing the variability (consistency) of two or more series that may have different units or different means. The series with the **lower CV** is said to be more consistent/stable. Hence, **Option C** is the correct answer.

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