1. If a fixed number c is added to all measurements in a data set, then the mean of the new measurements is
c + (the original mean).
2. If all measurements in a data set are multiplied by a fixed number d, then the mean of the new measurements is
d x (the original mean).
(a) Verify these properties for the data set

taking c = 4 in property (1) and d = 2 in (2).
(b) The same properties also hold for the median. Verify these for the data set and the numbers c and d given in part (a).

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