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

The monthly electricity bills (in ₹) of seven households in a Jaipur colony are 820, 640, 910, 750, 700, 880 and 1,000. What is the range and the coefficient of range?

Range is the largest value minus the smallest, 1,000 - 640 = ₹360. The coefficient of range divides this by the sum of the extremes, 1,640, giving about 0.22. So range ₹360 with coefficient 0.220 is correct.

  1. ARange = ₹360; coefficient of range = 0.360
  2. BRange = ₹360; coefficient of range = 0.439Correct
  3. CRange = ₹360; coefficient of range = 0.220
  4. DRange = ₹1,000; coefficient of range = 0.439

Explanation

Range = largest - smallest = 1,000 - 640 = 360. Coefficient of range = (L - S)/(L + S) = 360/1,640 = 0.2195. Wait: 360/1,640 is 0.2195, so the correct option must reflect that value.

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