Most of the problems in this and other chapters deal with “real” data for which computations are most efficiently performed with computers. Since a little experience in manual computing is healthy, here are 15 observations of a variable having no particular meaning:

(a) Compute the mean, median, variance, range, and interquartile range for these observations.

(b) Produce a box plot.

(c) Write a brief description of this data set.

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12 18 22 17 20 15 19 13 23 8 14 14 19 11 30.