Complete the following steps:

1. Carefully read the following problem to gather information: Nine people decide to share some candy. The most anyone has is nine pieces, and one person does have nine pieces. At least one person ends up with no candy, by choice. The average (mean) number of pieces is four. Four is also the median. That means at least one person has four pieces. (Why?) More people have two pieces of candy than any other number.
2. Find all the possible solutions to the problem. (This is questioning level two, which consists of sorting and contrasting additional information, in this case, additional solutions.)
3. List all of your solutions and take photos of, or draw and scan, the cube representations of your solutions.
4. Ask yourself if you have found all of the solutions and why. (This is statistical reasoning and a type of mathematical proof or conclusive argument.)