Can you find sets of positive integers that satisfy the following? 1. Three numbers with mean 3 and mode 2 2. Three numbers with mean 7 and mode 10 3. Three numbers with mean 8, median 10 and range 8 4. Four numbers with mean 7.5, mode 6 and median 7 5. Four numbers with mean 6, median 6.5 and range 11 6. Five numbers with mean 4, mode 3 and range 9 7. Five numbers with mean 4, mode 2 and range 6 (two possible solutions) 8. Five numbers with mean 7, mode 7 and range 10 (three possible solutions) Extension Can you find a set of four numbers with mean 4, mode 1, median 2 and range 10? How about a set of five numbers? Or six numbers? Or... Or 100 numbers?