1. The preschool teacher wants the kittens distributed equally among the boxes. How might that be done? How many kittens will end up in each box?

2. The number of kittens in each box after they are equally distributed is called the mean number of kittens per box, or the average number of kittens per box. Explain how the expression is related to the average.

3. Another preschool room has 6 boxes. No 2 boxes have the same number of kittens, and there is an average of 3 kittens per box. Draw or describe at least 2 different arrangements of kittens that match this description.

Five servers are scheduled to work the number of hours shown. They decide to share the workload, so each one would work equal hours.

1. On the first grid, draw 5 bars whose heights represent the hours worked by Servers A, B, C, D, and E.

   

   

   Then, think about how you would rearrange the hours so that each server gets a fair share. On the second grid, draw a new graph to represent the rearranged hours. Be prepared to explain your reasoning.

2. Based on your second drawing, what is the average, or mean, number of hours that the servers will work?

3. Explain why we can also find the mean by finding the value of the expression .

4. Which server will see the biggest change to work hours? Which server will see the least change?