Measures of Central Tendency and DispersionMCQMTP Dec 22 Series IIQuestion 3193 of 473
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If the profit of a company remain same for the last 10 months then the SD of profit 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

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Detailed Solution & Explanation

**Concept:** SD measures spread/variability. With identical values, there is no variability. If profits are P\displaystyle P every month: - Mean = P\displaystyle P - All deviations = 0 - σ=0\displaystyle \sigma = 0 SD cannot be negative (it is always ≥0\displaystyle \geq 0), and in this case it equals exactly **Zero**. Hence, **Option C** is the correct answer.

About This Chapter: Measures of Central Tendency and Dispersion

Paper

Paper 3: Quantitative Aptitude

Weightage

12-15 Marks

Key Topics

Mean, Median, Mode, Range, Mean Deviation, Standard Deviation

The core foundation of Statistics. This chapter covers Mean (Arithmetic, Geometric, Harmonic), Median, Mode, and their properties. It also explores measures of spread like Range, Mean Deviation, Standard Deviation, and Quartile Deviation.

View Official ICAI Syllabus

Exam Strategy Tip

Do not just memorize formulas; ICAI loves asking about the mathematical properties (e.g., 'sum of deviations from the AM is always zero'). You can usually eliminate 2 options just by knowing the properties.

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