Central Tendency & DispersionMTP Apr 21Question 3173 of 473
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If the profits of a company remains the same for the last ten months, then the standard deviation of profits for these ten months would be ?

Options

APositive
BNegative
CZero
DA or C
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Correct Answer

✅ Option c — Zero

All Options:

  • APositive
  • BNegative
  • CZero
  • DA or C

Detailed Solution & Explanation

**Concept:** SD measures variability. If all values are identical, there is no variability. **Analysis:** If profits are the same P\displaystyle P for all 10 months: - Mean = P\displaystyle P - Each deviation = P−P=0\displaystyle P - P = 0 - σ2=0\displaystyle \sigma^2 = 0, σ=0\displaystyle \sigma = 0 SD is always ≥0\displaystyle \geq 0. So: - It CANNOT be negative (Option B is wrong). - It CAN be positive only if there is variability. - It is ZERO when all values are equal. - Option D (A or C) includes the possibility of being positive, which is wrong here since profits are exactly the same. The correct answer is **Zero** (Option C). The given `correct_option` 'd' (A or C) is misleading — the only correct answer is C (Zero). Hence, **Option C** is the correct answer.

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