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A distribution has Q1 = 30, median = 42 and Q3 = 50. Using Bowley's measure (Q3 + Q1 − 2·Median) ÷ (Q3 − Q1), find its skewness.

Competition practiceStatistics
  • A0.2
  • B−4
  • C0.4
  • D−0.2

Step-by-Step Solution

. The median sits nearer Q3, so the skew is negative. (−4 forgets to divide by the IQR.)
Answer: D) −0.2

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