Some properties of the mean and median.

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  (the original mean).

(a) Verify these properties for the data set 4 8 8 7 9 6 taking in property (1) and 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).