The triathlon is a multiple-stage competition involving the completion of three disciplines, in its most popular...

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 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.

Expert Solution

We have used R , where on upper side is output and on down is code, here first of all the seconds and hours are converted into minutes.

(a) The sample mean= 57.57037, sample variance= 2.557665, and standard deviation = 1.59927.

(b)The median is 56.98 and quartiles for the data is 56.35 56.98 58.86

(c)The interquartile range is 2.51.

orchestra answered 1 year ago

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