Central Tendency & DispersionPYQ June 22Question 3135 of 473
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Following are the wages of 8 workers 82,96,52,75,70,65,50,70\displaystyle 82, 96, 52, 75, 70, 65, 50, 70. Find range and coefficient of range?

Options

A46,32.70\displaystyle 46, 32.70
B43,31.50\displaystyle 43, 31.50
C46,31.50\displaystyle 46, 31.50
D43,32.70\displaystyle 43, 32.70
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Correct Answer

✅ Option c — 46,31.50\displaystyle 46, 31.50

All Options:

  • A46,32.70\displaystyle 46, 32.70
  • B43,31.50\displaystyle 43, 31.50
  • C46,31.50\displaystyle 46, 31.50
  • D43,32.70\displaystyle 43, 32.70

Detailed Solution & Explanation

**Given data:** 82, 96, 52, 75, 70, 65, 50, 70 **Step 1: Find Maximum and Minimum values.** L=max⁡=96,S=min⁡=50L = \max = 96, \quad S = \min = 50 **Step 2: Calculate Range.** Range=L−S=96−50=46\text{Range} = L - S = 96 - 50 = 46 **Step 3: Calculate Coefficient of Range.** Coefficient of Range=L−SL+S×100=96−5096+50×100\text{Coefficient of Range} = \frac{L - S}{L + S} \times 100 = \frac{96 - 50}{96 + 50} \times 100 =46146×100=0.3151×100≈31.50%= \frac{46}{146} \times 100 = 0.3151 \times 100 \approx 31.50\% **Result:** Range = 46, Coefficient of Range = 31.50 Hence, **Option C** is the correct answer.

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