Set S consists of 5 values, not necessarily in ascending order: {4, 8, 12, 16, x}. For how many values of x does the mean of set S equal the median of set S?  Choose the correct choice from the following:
A) Zero
B) One
C) Two
D) Three
E) More than three
There could be 3 medians of this set.   8 , when x &lt;8   x , when 8&lt;=x&lt;=12   and   12, when x&gt;12   There could be 1 mean = (40+x)/5   Now, we can solve (40+x)/5 = 8 , x, 12 to find out values.. and if valid values are found that solution counts.   We get x= 0 ,10, 20. Hence 3 solutions.   Ans Three
<result>D</result>
Set S consists of 5 values, not necessarily in ascending order: {4, 8, 12, 16, x}. For how many values of x does the mean of set S equal the median of set S?