Same but Different

1) Generate two sets of data with the same means but different medians.

2) Generate two sets of data with the same medians but different means.

3) Generate two sets of data with the same means but different modes.

4) Generate two sets of data with the same modes but different means.

5) The median of five numbers is 15. The mode is 6. The mean is 12. What are the five numbers?

Adapted from Same but Different, the InterMath investigation.