Measures of Central Tendency and DispersionMCQMTP June 24 Series IIQuestion 3069 of 473
All Questions

______ & ______ are called ratio averages:

Options

AH.M. & G.M
BH.M. & A.M
CA.M. & G.M.
DNone of these
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Correct Answer

✅ Option a — H.M. & G.M

All Options:

  • AH.M. & G.M
  • BH.M. & A.M
  • CA.M. & G.M.
  • DNone of these

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Detailed Solution & Explanation

**Step 1: Identify 'ratio averages'.** In statistics, the terms are: - **Positional averages**: Median, Mode, Quartiles, Deciles, Percentiles - **Mathematical averages**: AM, GM, HM - **Ratio averages**: GM and HM are sometimes called ratio averages because: - **GM** is used when observations represent ratios or rates of growth. - **HM** is used when data consists of rates (like speed = distance/time). **Step 2: Conclusion.** GM and HM are called **ratio averages** because they are suitable for averaging ratios and rates. 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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