CA Foundation · Quantitative Aptitude · Measures of Central Tendency and Dispersion
In a distribution, Q1 = 30, Q2 = 38 and Q3 = 50. What is Bowley's coefficient of skewness?
Bowley's coefficient of skewness equals (Q3 + Q1 − 2×Median)/(Q3 − Q1). Here that is (50 + 30 − 76)/20 = 4/20 = 0.20, indicating mild positive skewness because the median lies closer to the first quartile.
- A0.20Correct
- B0.25
- C−0.20
- D0.60
Explanation
Bowley's coefficient = (Q3 + Q1 − 2Q2)/(Q3 − Q1) = (50 + 30 − 76)/(20) = 4/20 = 0.20. Using Q3 − Q1 in the numerator instead would give 0.60 (20/... wrongly handled), and a sign error gives −0.20. The positive value shows positive skewness.
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