Question

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

30. Suppose that a publisher conducted a survey asking adult consumers the number of fiction paperback books they had purchased in the previous month. The results are summarized in the table below.

# of books Frequency Relative Frequency
0 19
1 25
2 25
3 19
4 15
5 10
7 5
9 1
  • Part (a)

    Find the IQR and limits for outliers. (Enter exact numbers as integers, fractions, or decimals.)
    IQR     
    lower limit for outliers     
    upper limit for outliers     

    Using the IQR method, are there any outliers in the data? (Select all that apply.)

    Yes, the ten data values of 5 books.Yes, the nineteen data values of 0 books.Yes, the one data value of 9 books.Yes, the twenty-five values of 1 book.Yes, the five data values of 7 books.No, there are no outliers.

  • Part (b)

    If a data value is identified as an outlier, what should be done about it?

  • Part (c)

    Are any data values further than two standard deviations away from the mean? In some situations, statisticians may use this criteria to identify data values that are unusual, compared to the other data values. (Note that this criteria is most appropriate to use for data that is mound-shaped and symmetric, rather than for skewed data. Select all that apply.)

    Yes, the ten data values of 5 books.Yes, the nineteen data values of 0 books.Yes, the one data value of 9 books.Yes, the twenty-five values of 1 book.Yes, the five data values of 7 books.No, there are no outliers.

  • Part (d)

    Do parts (a) and (c) of this problem give the same answer?

    YesNo    

  • Part (e)

    Examine the shape of the data. Which part, (a) or (c), of this question gives a more appropriate result for this data?

    the standard deviation methodthe IQR method    

  • Part (f)

    Based on the shape of the data which is the most appropriate measure of center for this data: mean or median?

    medianmean    

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