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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 rain y wind z-temperature Z - Z x Z x2 16 12 ? 192 256 625 15.2 144 30 -1 2 -15.2 231.04 900 60 1 ? -13.2857 0 0 3600 0.25 ? 2 ? 0.5 0.0625 784 40 36 -2 -80 1600 1296 44 -3 21.7143 300 144 1936 16 33 -3 ? -48 256 1089 9 x - 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 60 percentile of the y (wind). 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