Consider the data in Exercise 13. Express the median and IQR of y1,…,yn in terms of the median and IQR of x1,…,xn. For simplicity, assume and assume n is odd.
Consider a list of numbers x1,…,xn. Shift and rescale each xi as follows:
Find the new average and SD of the list y1,…yn in terms of the average and SD of the original list x1,…,xn.