### Home > MC1 > Chapter 7 > Lesson 7.2.1 > Problem 7-42

7-42.

**Additional Challenge:** Use the numbers

List five numbers with a mean of

. If the mean is

, and there are numbers, what number do you want the sum of all of your numbers to be? List five numbers with a mean of

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

If a list of five numbers has a mean of

, what is the largest median that this set of data can have? ______, ______, ______, ______, ______

If the sum of the numbers must be

, how can you arrange numbers so that the middle number is as high as possible?

Could the middle number be? Why or why not?