Answer the Following Two Questions:
A $x _ { i }$

Essay

Answer the following two questions:
a. If a constant c is added to each $x _ { i }$
in a sample, yielding $y _ { i }$
= $x _ { i }$
+ c, how do the sample mean and median of the $y _ {i}$
's relate to the mean and median of the $x _ { i }$
's? Verify your conjectures.
b. If each $x _ { i }$
is multiplied by a constant c, yielding $y _ { i }$
= $c x _ { i }$
, answer the question of part (a). Again, verify your conjectures.