Janet is doing analysis on a set of 39 scores. First, she computes the mean X and the median M. Next Janet removes the two highest and two lowest scores. If she computes X and M for the remaining 35 scores, which of the following must be true?

X may change, but M will remain constant.
M may change, but X will remain constant.
X and M will both change.
X and M will both remain constant.
Either X or M could change depending on the set of scores.

Question

Janet is doing analysis on a set of 39 scores. First, she computes the mean X and the median M. Next Janet removes the two highest and two lowest scores. If she computes X and M for the remaining 35 scores, which of the following must be true?

X may change, but M will remain constant. 
 M may change, but X will remain constant. 
 X and M will both change. 
 X and M will both remain constant. 
 Either X or M could change depending on the set of scores.

anonymous · Answer

X may change, but M will remain constant.