Suppose the data sety1,y2,.,ynhas a median value ofM. Consider a trans- formed version of this data setz1, z2, . , znwhere zi=yi+3(yiM)+2.

Suppose the data set y1,y2,...,yn has a median value of M. Consider a trans-

formed version of this data set z1, z2, . . . , zn where

zi =yi +3(yi −M)+2.

1. (a) Explain at a high level, in one sentence, what this transformation does to the data set.
2. (b) How is the median of z1,z2,...,zn related to that of y1,y2,...,yn?
3. (c) How is the mean absolute deviation from the median of z1, z2, . . . , zn related
4. to that of y1,y2,...,yn?