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CA Foundation · Quantitative Aptitude · Measures of Central Tendency and Dispersion

The monthly electricity bills (in ₹) of seven households in a Nagpur housing society are 240, 350, 180, 420, 300, 120 and 500. What is the coefficient of range?

The coefficient of range is about 0.613. The range is 500 − 120 = 380, and it is divided by the sum of the largest and smallest values, 620. Dividing by the largest value alone would be incorrect.

  1. A0.613Correct
  2. B0.760
  3. C38
  4. D1.632

Explanation

Largest value = 500 and smallest = 120, so range = 380. Coefficient of range = (L − S)/(L + S) = 380/620 ≈ 0.613. Dividing the range by the largest value gives 0.760, which is wrong because the denominator must be L + S.

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