If the median of the set is 6, which of the following is a possibility
If the median of the set is 6, which of the following is a possibility for the values of x and y? ?10,?5,0,x,7,9,y,10
- A. x=10,y=6
- B.. x=5,y=9
- C. x=4,y=9
- D. x=0,y=10
Correct Answer: B.. x=5,y=9
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 6. 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 7. Let's set up an equation. x+7/2=6. The numerator represents the two middle numbers being added and divided by the denominator. If we multiply both sides by 2, and subtract 7 on both sides, we get x to be 5. Finally, to find y, we need a number that is greater than or equal to 9 and less than or equal to 10. Answer x=5, y=9 satisfies all conditions.