. Suppose that a publisher conducted a survey asking adult consumers the number of fiction paperback books...

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Basic Math

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Suppose that a publisher conducted a survey asking adultconsumers the number of fiction paperback books they had purchasedin the previous month. The results are summarized in the Table2.83.

# of booksFreq.Rel. Freq.
018
124
224
322
415
510
75
91

Table 2.83

  1. Are there any outliers in the data? Use an appropriatenumerical test involving the IQR to identify outliers, ifany, and clearly state your conclusion.
  2. If a data value is identified as an outlier, what should bedone about it?
  3. Are any data values further than two standard deviations awayfrom the mean? In some situations, statisticians may use thiscriteria to identify data values that are unusual, compared to theother data values. (Note that this criteria is most appropriate touse for data that is mound-shaped and symmetric, rather than forskewed data.)
  4. Do parts a and c of this problem give the same answer?
  5. Examine the shape of the data. Which part, a or c, of thisquestion gives a more appropriate result for this data?
  6. Based on the shape of the data which is the most appropriatemeasure of center for this data: mean, median or mode?

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