1. Averages If 10 children take a test out of a possible 20 marks, and the mean average score is 12, investigate what their scores could have been. What if the mode was 10? How would this change the scores?

2. Five children take a test. If the MODE is 4. The MEAN AVERAGE is 4. The RANGE is 4. The MEDIAN is 4. What possible scores could the children have had?

3. Child 1 = 2 Child 2 = 4 Child 3 = 4 Child 4 = 4 Child 5 = 6

4. Seven children bought some sweets at the Pick & Mix counter. How many sweets did each child have? Here are some clues to help The mean average is 9. The median is 8. The mode is 12. The range is 7.

5. Child 1 = 5 Child 2 = 7 Child 3 = 7 Child 4 = 8 Child 5 = 12 Child 6 = 12 Child 7 = 12 Child 1 = 5 Child 2 = 6 Child 3 = 8 Child 4 = 8 Child 5 = 12 Child 6 = 12 Child 7 = 12 Are there any other combinations that will still produce the same mean, median, mode and range?

6. Nine children went to the library to look for books on their school project. How many books did each child have? Here are some clues to help The mean average is 8. The median is 8. The mode is 6. The range is 6.

7. Child 1 = 4 Child 2 = Child 3 = 6 Child 4 = 6 Child 5 = 8 Child 6 = Child 7 = Child 8 = Child 9 = 10 Total = 72 Child 1 = 3 Child 2 = Child 3 = 6 Child 4 = 6 Child 5 = 8 Child 6 = Child 7 = Child 8 = Child 9 = 9 Total = 72 Are there any other combinations that will still produce the same mean, median, mode and range?

8. 6, 6, 6, 6, 8, 8, 10, 10, 12 5, 6, 6, 6, 8, 9, 10, 11, 11 5, 6, 6, 6, 8, 9, 10, 11, 11 Is it possible to have a number less than 5 at the beginning? Explain.