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

For the daily output of a plant, the quartiles are Q1 = 20 units, Q2 = 28 units and Q3 = 44 units. Bowley's coefficient of skewness is approximately:

Bowley's coefficient equals (Q3 + Q1 − 2Q2) divided by (Q3 − Q1). Here it is (44 + 20 − 56)/24 = 8/24, about 0.333, indicating mild positive skewness.

  1. A0.333Correct
  2. B0.667
  3. C-0.333
  4. D0.250

Explanation

Bowley's coefficient = (Q3 + Q1 − 2Q2)/(Q3 − Q1) = (44 + 20 − 56)/(44 − 20) = 8/24 = 0.333. The value 0.667 comes from using (Q3 − Q2)/(Q3 − Q1) = 16/24, which is not the formula. The sign is positive because Q3 is farther from the median than Q1.

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