Measures of Central Tendency and DispersionMCQPYQ June 22Question 2868 of 473
All Questions

When each value does not have equal importance then we use

Options

AAM
BGM
CHM
DWeighted Avg.
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Correct Answer

✅ Option d — Weighted Avg.

All Options:

  • AAM
  • BGM
  • CHM
  • DWeighted Avg.

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Detailed Solution & Explanation

**Step 1: Understand the concept.** When all observations are of **equal importance**, the simple Arithmetic Mean is used: xˉ=∑xin\bar{x} = \frac{\sum x_i}{n} **Step 2: When importance differs.** When different observations have **different levels of importance** (weights), the **Weighted Average** is used: xˉw=∑wixi∑wi\bar{x}_w = \frac{\sum w_i x_i}{\sum w_i} where wi\displaystyle w_i is the weight assigned to observation xi\displaystyle x_i. **Step 3: Conclusion.** The correct measure is **Weighted Average**. Hence, **Option D** 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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