How efficient is the Canadian Pacific Railway?

To increase efficiency, officials at the Canadian Pacific Railway monitor several variables including train speed, cars on each train, and terminal dwell time. In addition, the type & amount of freight is carefully recorded for each train. The following table shows the number of

carloads of grain mill products for 30 randomly selected weeks in 2011 and 2012.

Show detailed calculations and explanations for each answer

14. 572 711 582 663 612 577 650 550 590 659 610 611 557 685 683 629 626 637 634 723 718 707 673 697 808 755 438 569 684 637 a. Compute the summary statistics for these data, including the mean, median, variance, standard deviation and quartiles. b. Construct a box plot for these data. c. Describe the distribution. Identify any outliers. d. Find the proportion of observations within one, two, and three standard deviations of the mean. Compare the results to the empirical rule. e. Find the 90th percentile