Time left 1:32:21 Environment Canada asked their forecaster to produce seven days data about the temperature (Celsius), rain(mm), and wind(km/h) for the next month. The sample data and some relevant information are listed below: ("?" represents missing information) (Note: IN ORDER TO GET FULL MARKS, SHOW ALL CALCULATION STEPS. FAILURE TO DO SO WILL RESULT IN A SCORE OF "(".) X=rain y-wind z=temperature x2 V2 22 16 ? 12 ? 192 256 625 144 15.2 30 -1 2 -15.2 231.04 900 1 ? 60 -13.2857 0 0 3600 ? 0.25 N ? 0.5 0.0625 784 4 40 36 -2 ? -80 1600 1296 4 ? 44 21.7143 300 144 1936 16 33 -3 ? 48 256 1089 g * = 14.2071, Zy = 256, z = 3.2857, Variance of x = 179.0337, Variance of y = 144.6190, Variance of z = 135.2381 a) Calculate the MAD of the z(temperature). b) Find the location of 60th percentile of the y (wind). c) Environment Canada wants to know, which data set (x - rain or y = wind) has less relative variation? Justify your answer mathematically. d) Which measure of central location is appropriate whenever we wish to estimate the expected mean return, or growth rate, for a single year in the future