From the record on sizes of shoes sold in a shop, one can compute the following to determine the most preferred shoe size.
Options
AMean
BMedian
CMode
DRange
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Measures of Central Tendency and DispersionMCQPYQ Jan. 21Question 2993 of 473
All Questions Correct Answer
✅ Option c — Mode
All Options:
- AMean
- BMedian
- CMode
- DRange
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Detailed Solution & Explanation
**Step 1: Understand what is being asked.**
We need to determine the most preferred shoe size — i.e., the size that sells the most frequently.
**Step 2: Identify the appropriate measure.**
- **Mean** gives the arithmetic average of all shoe sizes. A mean shoe size of say 7.3 has no meaning since shoe sizes are discrete.
- **Median** gives the middle value when data is arranged. Not useful for identifying the most sold size.
- **Mode** is the value that occurs most frequently in a dataset — it directly gives the most popular/preferred shoe size.
- **Range** gives the spread of the data, not the most popular value.
**Step 3: Conclusion.**
Since we want the most preferred (most frequently bought) shoe size, the correct measure is the **Mode**.
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 SyllabusExam 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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