Measures of Central Tendency and DispersionMCQMTP Nov 21Question 3058 of 473
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Which of the following is not a criteria for ideal measure of central tendency?

Options

AIt should be ambiguously defined
BIt should be simple to compute
CIt should be based on all the observations
DNone of these
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Correct Answer

✅ Option a — It should be ambiguously defined

All Options:

  • AIt should be ambiguously defined
  • BIt should be simple to compute
  • CIt should be based on all the observations
  • DNone of these

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Detailed Solution & Explanation

**Step 1: Recall the criteria for an ideal measure of central tendency.** An ideal measure of central tendency should: 1. Be **rigidly/unambiguously defined** (not ambiguously defined) 2. Be based on **all observations** 3. Be **easy to calculate** (simple to compute) 4. Be capable of further algebraic treatment 5. Be least affected by sampling fluctuations **Step 2: Evaluate the options.** - Option A: 'It should be ambiguously defined' — this is **NOT** a criteria (an ideal measure should be *unambiguously* defined). So Option A is something that an ideal measure should NOT have. This is the correct answer to what is NOT a criterion. - Options B and C are valid criteria. **Step 3: Conclusion.** Option A ('ambiguously defined') is NOT a criterion for an ideal measure — an ideal measure should be **unambiguously defined**. Note: The exam key says D (None of these), but Option A correctly identifies something that is NOT a criterion. Hence, **Option A** 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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