Final answer:
The M.A.D. that shows the most variability is 2.
Step-by-step explanation:
The Mean Absolute Deviation (M.A.D.) is a measure of variability in a set of data. It measures the average distance of each data point from the mean. The M.A.D. would show the most variability when it has a larger value.
In the given values of 0.5, 1, 1.5, and 2, the M.A.D. increases as the values increase. So, the M.A.D. of 2 would show the most variability compared to the others.
Therefore, the M.A.D. that shows the most variability is 2.