Additional Challenge: Use the numbers $0, 1, 2$, $2\frac{1}{2}$, $3, 7$, $7\frac{1}{2}$, $9$, and $10$ to answer each of the following questions. Note that you may use each number as many times as you like.

1. List five numbers with a mean of $5$.

   Hint (a):

   If the mean is $5$, and there are $5$ numbers, what number do you want the sum of all of your numbers to be?

2. List five numbers with a mean of $5$ and a median of $2\frac{1}{2}$.

   Hint (b):

   Make sure that the desired median is the middle number when your numbers are in order.

3. If a list of five numbers has a mean of $5$, what is the largest median that this set of data can have?

   Hint (c):

   ______, ______, ______, ______, ______

   If the sum of the numbers must be $25$, how can you arrange numbers so that the middle number is as high as possible?
   Could the middle number be $10$? Why or why not?