Central Tendency & DispersionMTP Nov 21Question 3181 of 473
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If the variance of x=148.6\displaystyle x = 148.6 and mean of x=40\displaystyle x = 40, then the coefficient of variation is

Options

A37.15
B30.48
C33.75
DNone of these
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Correct Answer

✅ Option b — 30.48

All Options:

  • A37.15
  • B30.48
  • C33.75
  • DNone of these

Detailed Solution & Explanation

**Given:** Variance =148.6\displaystyle = 148.6, Mean =40\displaystyle = 40 **Step 1: Calculate SD.** σ=148.6≈12.19\sigma = \sqrt{148.6} \approx 12.19 **Step 2: Calculate CV.** CV=σxˉ×100=12.1940×100≈30.48%CV = \frac{\sigma}{\bar{x}} \times 100 = \frac{12.19}{40} \times 100 \approx 30.48\% **Exact computation:** 148.6=12.1906...\displaystyle \sqrt{148.6} = 12.1906... CV=12.190640×100=30.48%CV = \frac{12.1906}{40} \times 100 = 30.48\% Hence, **Option B** is the correct answer.

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