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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Central Tendency & DispersionPYQ Jan. 21Question 2993 of 473
All Questions Correct Answer
✅ Option c — Mode
All Options:
- AMean
- BMedian
- CMode
- DRange
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.
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