33 Annual sales, in millions of dollars, for 21 pharmaceutical companies follow

Question

33 Annual sales, in millions of dollars, for 21 pharmaceutical companies follow 1.374 14,138 7,478 5,794 1,872 6,452 4,019 8,305 8,879 1,850 4,341 2,459 2,818 739 11,413 1,356 2,127 8,408 608 10,498 3,653 a. Provide a five-number summary b. Do these data contain any outliers? c. Johnson & Johnson's sales are the largest on the list at $14.138 million. Suppose ntry emor ta transposition) had been made and the sales had been entered as S41.138 million. Would the method of detecting outliers in part (c) identify this ppoblem and allow for a corection of the data-entry error?

Explanation / Answer

a) Min Q1 Median Q3 Max

608 1872 4019 8305 14138

b) Using normal outlier detection technique where the range for non-outlier values is (Q1 - 1.5*IQR(x), Q3 + 1.5*IQR(x)), we have no outlier.

c) But if we want to take the value 14138 as an outlier, then using Rosner's Test for outlier detection with alpha = 0.31, this value can be considered as an outlier.

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