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Quantitative Methods Q113

113The following ten observations are a sample drawn from a normal population: 6, 12, 32, -12, 10, 3, -21, 15, 8, and 11. The third quintile (60th percentile) of the sample is closest to:
  • Option : B
  • Explanation : First we need to sort the data in ascending order: -21, -12, 3, 6, 8, 10, 11, 12, 15, 32. The third quintile corresponds to the 60th percentile. The location of the 60th percentile is given by: L60 = (10 + 1)60/100 = 6.6. The value is estimated using linear interpolation: P60 = 10 + 0.6(11– 10) = 10.6.
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