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

For a distribution, Q1 = 20, Median = 30 and Q3 = 50. Bowley's coefficient of skewness is:

Bowley's coefficient of skewness equals (Q3 + Q1 - 2 times median) divided by (Q3 - Q1). Substituting gives (50 + 20 - 60)/30 = 10/30, which is about 0.33. The positive value shows the distribution is positively skewed.

  1. A0.20
  2. B0.33Correct
  3. C-0.33
  4. D0.50

Explanation

Bowley's coefficient = (Q3 + Q1 - 2*Median)/(Q3 - Q1) = (50 + 20 - 60)/(50 - 20) = 10/30 = 0.33. Reversing the sign gives -0.33, and using 20 as the denominator gives 0.50.

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