The triathlon is a multiple-stage competition involving the completion of three disciplines, in its most popular form: swimming, cycling, and running. The following data represents the results of the 2017 Hamilton CAMTRI Sprint Triathlon American Cup for men: 00:55:14, 00:55:21, 00:56:00, 00:56:12, 00:56:20, 00:56:23, 00:56:36, 00:56:37, 00:56:50, 00:57:08, 00:58:41, 00:58:44, 00:58:48, 00:58:53, 00:59:14, 00:59:30, 00:59:30, 01:00:15.
(a) Calculate the sample mean, sample variance, and standard deviation.
(b) Find the median and quartiles for the data.
(c) Construct a box plot of the data. Find the interquartile range.