Measures of Central Tendency and DispersionMCQPYQ Dec. 21Question 2996 of 473
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One hundred participants expressed their opinion on recommending a new product to their friends using the attributes : most unlikely, not sure, likely, most likely. The appropriate measure of central tendency that can be used here is

Options

AMean
BMode
CGeometric mean
DHarmonic mean
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Correct Answer

✅ Option b — Mode

All Options:

  • AMean
  • BMode
  • CGeometric mean
  • DHarmonic mean

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Detailed Solution & Explanation

**Step 1: Analyze the nature of the data.** The attributes 'most unlikely', 'not sure', 'likely', 'most likely' are **qualitative (ordinal/nominal) data** — they represent categories or labels, not numerical values. **Step 2: Identify appropriate measure of central tendency.** - **Mean** requires numerical values; not suitable for qualitative/nominal data. - **Mode** is the most frequently occurring value — it is applicable to nominal/ordinal data. - **Geometric Mean** and **Harmonic Mean** require numerical values; not applicable. **Step 3: Conclusion.** For categorical (qualitative) data like attribute ratings (most unlikely, not sure, likely, most likely), the **Mode** is the only appropriate measure of central tendency — it simply identifies which attribute was chosen most often. Hence, **Option B** 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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