Six numbers from a list of nine integers are 7, 8,3 ,5 ,9 , and 5. What is the largest possible value of the median of all nine numbers in this list?
The median is the middle number in the list.
We have the numbers:
3, 5, 5, 7, 8, 9.
The middle number will be bigger if we add numbers larger than the largest number in the list, which is 9.
So let’s just add 10, 11, and 12
Now we have the new set:
3, 5, 5, 7, 8, 9, 10, 11, 12
Now the new middle number is 8
The median is the middle number in the list.
We have the numbers:
3, 5, 5, 7, 8, 9.
The middle number will be bigger if we add numbers larger than the largest number in the list, which is 9.
So let’s just add 10, 11, and 12
Now we have the new set:
3, 5, 5, 7, 8, 9, 10, 11, 12
Now the new middle number is 8