1. Each winter (Dec.Feb.), the National Capital Commission in Ottawa monitors the ice conditions on the Rideau Canal Skatewav and decides on the duration that skating is safe to occur. The following table presents historical data for the number of days that skating was permitted on the Canal in winters between 1971/1972 and 1984/1935. (Total 16 marks) Year 71/72 72/73 73/74 74/75 75/73 76/77 77/73 73/79 73/33 30/31 31/32 32/33 33/34 34/35 3 of skang 90 78 65 62 67 71 77 64 62 61 66 45 50 44 days a} Calculate the mean, standard deviation, and coefficient of skewness (SK of your choice} of the data set. What was the reason for your choice of SK? (5 ma rks} b) Compute the 80th percentile of the sample. What does it mean? (4 marks} c) Provide a cumulative relative frequency polygon (report-quality\") of the number of skating days along with a table that summarizes the grouped data (bins, frequencies, etc.}. {5 marks) *Report-quality: clean, scaled, and with all information (axis, titles, units, etc.) Find/show the 80th percentile on the plot and compare its approximate value to what you calculated in question 1 part b. (2 marks)