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Which of the following is the most appropriate measure of central tendency for finding the most common shoe size sold in a shop?

Class 10StatisticsStatistics and Probability
  • AMode
  • BMean
  • CMedian
  • DRange

Step-by-Step Solution

The 'most common' value is by definition the mode — the value (or size) occurring with the greatest frequency.
Answer: A) Mode

Key idea: Mean by direct method

**Setup**: data given as class intervals with frequencies. Compute class marks ᵢ.

**Formula**: **̄ = Σᵢᵢ) / Σᵢ**

Multiply each class mark by its frequency, sum, divide by total frequency.

**Example**:
| Class | (mark) | |
|---|---|---|---|
| 0–10 | 5 | 5 | 25 |
| 10–20 | 8 | 15 | 120 |
| 20–30 | 7 | 25 | 175 |

Σ, Σ. Mean = 320/20 = 16.

**When to use**: small class marks; arithmetic stays manageable.

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