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5. Let x = {$1, . . ., x\") be a data set, and denote its sample standard deviation with am. Let yr = azu- + b. (a) Show that By = Mam, where .53,r is the sample standard deviation of y = (m, . A . ,yn]. ['b) Show that Median\") = a - Medinn(x] + b. (c) If a. > 0, can you write the relation between Ql(y] and 6210:]? What happens if a