Central Tendency & DispersionMTP June 22Question 3185 of 473
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If the profit of a company remains same for the last 10 months then the SD of profit of the company would be:

Options

APositive
BNegative
CZero
Deither (a) or (c)
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Correct Answer

✅ Option c — Zero

All Options:

  • APositive
  • BNegative
  • CZero
  • Deither (a) or (c)

Detailed Solution & Explanation

**Concept:** If all observations are identical, every deviation from the mean is zero, making variance and SD both equal to zero. **Analysis:** With constant profits P\displaystyle P for 10 months: - Mean = P\displaystyle P - ∑(xi−xˉ)2=0\displaystyle \sum(x_i - \bar{x})^2 = 0 - σ2=0\displaystyle \sigma^2 = 0, σ=0\displaystyle \sigma = 0 SD = **Zero**. Note: SD can NEVER be negative (it's a square root of a non-negative quantity). Hence, **Option C** is the correct answer.

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