This challenging task is geared towards students who have practiced and hopefully gotten comfortable computing mean absolute deviation. High-level thinking is involved as students are given values for mean absolute deviation & mean of numeric data. However, they must come up with numeric data that matches the criteria themselves. Students will be asked to show mathematically how the numbers they chose fit the criteria. They will also be asked to describe strategies used that worked or didn't work even if they can't come up with a solution. The task can be performed individually, in pairs, or small groups. Only whole numbers will be involved in all computations. Grading, time allotment, and notes/calculator usage are left up to the teacher's discretion. This task really reveals how well students understand mean & mean absolute deviation. Students also get a better feel of what happens to these statistics when data is changed/manipulated. Take a look at my PowerPoint on Mean Absolute Deviation if you need instructional reinforcement.