Consider the data in Exercise 13. Express the median and IQR of y 1 ,…,y n in terms of the…

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.

Exercise 13

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.

 

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