1. The mean absolute deviation of the data set in the table is about 3.1. Does the value 8 deviate more or less than most values?
2. Diana found the mean absolute deviation of the year-round temperatures in State X to be 15∘F, and the mean absolute deviation of the temperatures in State Y to be 3∘F. If she wanted to go to college in a place with low variability in temperatures, which state should she choose? Why?
3. The curve has a mean of 600 and a mean absolute deviation (MAD) of 20. Sketch a second data distribution that is eight mean absolute deviations greater than the mean of the given curve.
A.
B.
C.
4. The elevations above sea level of five towns are shown in the table. The mean absolute deviation of the data set is about 246.4. What can you conclude about the elevation of Town S?
A. The elevation of Town S deviates from the mean by a lesser amount than most of the other towns.
B. The elevation of Town S is equal to the mean absolute deviation.
C. The elevation of Town S deviates from the mean by a greater amount than most of the other towns.
D. There is not enough information to make a conclusion about the elevation of Town S.
5. Joey polled his class to find out how many siblings and pets each student has.
Is there a lower variability in number of siblings or pets?
6. The curve has a mean of 400 and a mean absolute deviation (MAD) of 10. Sketch a second data distribution that is four mean absolute deviations less than the mean of the given curve.