The number of pairs of shoes owned by seven college freshmen are 1, 2, 2, 3, 4, 4, and 5.

(a) Compute the mean, median, mode, range, and standard deviation.

(b) An eighth student, the heir to a shoe empire, is added to the sample. This student owns 50 pairs of shoes. Recompute the statistics.

(c) Which of the statistics are not much affected by the inclusion of an observation that is far removed from the rest?

(d) For all eight students, compute standardized scores for the number of shoes owned.