Central Tendency & DispersionMTP Nov 18Question 3151 of 473
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Coefficient of Variation (CV) is calculated

Options

ASDAM×100\displaystyle \frac{\text{SD}}{\text{AM}} \times 100
BAMSD×100\displaystyle \frac{\text{AM}}{\text{SD}} \times 100
CAMAM\displaystyle \frac{\text{AM}}{\text{AM}}
DNone of these
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Correct Answer

✅ Option a — SDAM×100\displaystyle \frac{\text{SD}}{\text{AM}} \times 100

All Options:

  • ASDAM×100\displaystyle \frac{\text{SD}}{\text{AM}} \times 100
  • BAMSD×100\displaystyle \frac{\text{AM}}{\text{SD}} \times 100
  • CAMAM\displaystyle \frac{\text{AM}}{\text{AM}}
  • DNone of these

Detailed Solution & Explanation

**Definition of Coefficient of Variation (CV):** CV=σxˉ×100=SDAM×100CV = \frac{\sigma}{\bar{x}} \times 100 = \frac{\text{SD}}{\text{AM}} \times 100 This is exactly what **Option A** states: SDAM×100\displaystyle \frac{\text{SD}}{\text{AM}} \times 100. **Analysis of options:** - **Option A:** SDAM×100\displaystyle \frac{\text{SD}}{\text{AM}} \times 100 — This IS the correct formula for CV. - **Option B:** AMSD×100\displaystyle \frac{\text{AM}}{\text{SD}} \times 100 — This is the reciprocal, which is wrong. - **Option C:** AMAM\displaystyle \frac{\text{AM}}{\text{AM}} = 1, which is meaningless. - **Option D:** None of these — Incorrect since Option A is correct. The given `correct_option` is 'd' (None of these), but Option A clearly states the correct formula for CV. Hence, **Option A** is the correct answer.

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