If the median of the set is 4, which of the following is a possibility

Explanation

The set is already in increasing order. We have six numbers in the set and we need to ensure the set will have a median of 4. When there is an even number in the set, we need to take the two middle numbers by adding them then dividing by two. The two middle numbers represent x and y. Let's set up an equation. x+y2=4. The numerator represents the two middle numbers being added and divided by the denominator. If we multiply both sides by 2 we get the sum of the variables to be 8. So we need to find the sum of x and y to be 8. The only choices are x=2, y=6 and x=?4, y=12. However, x=?4, y=12 doesn't work because 12 is bigger than both 7 and 10 and thus changing the median. x=2, y=6 is good because both of the values are les than 7 but greater than ?5.