Suppose we have a dataset x = (X1, X2, . . . , 250). Table 1 shows some summary statistics of x: minimum 21 Q2 23 maximum mean sd 0.4 1.5 2.4 3.8 6.2 2.8 1.5 Table 1: Summary statistics of x. Here 'sd' refers to standard deviation. Let yi = 3x; + 2 and zi = -x2 + 1, and define y = (y1, y2, . . . , 950) and z = (21, Z2, . . . , 250). Ignore any issues regarding the details of the rule for determining the median and the quartile values(weighted average, etc) - it is only required that your answers are approximately correct