A basketball team problem


Please help me in this problem:
A basketball team with 11 players of different heights trades its shortest player to another team for a tall center who is now the tallest player on the team. Which is FALSE:
a The mean hight will increase
b The median hight will stay the same
c The Stand. dev. will change
d the mod will stay the same
e none of the above.
I think that it is either b or e.
Please help me. Thank you sincerely! :D


TS Contributor
I think b is always false, no matter what, and c is sometimes false (I could construct a situation that fits the requirements of the problem, but where the standard deviation stays the same).

So therefore I think b is the best answer.