The mean absolute deviation of the US data is 9.77.
The mean absolute deviation of the Europe data is 2.87.
The US data has a more variation; the Europe data is more consistent.
Explanation:
For the US data, first find the mean. Do this by adding together all of the data values. You get a sum of 199.1. Now divide this by 10, the number of data points; 199.1/10 = 19.91.
Next subtract each data point from the mean. When you do, you get:
18.49; 16.79; 9.39; 4.19; -2.21; -7.01; -8.61; -9.01; -11.01; -11.01.
Take the absolute value of each difference, and you get:
18.49; 16.79; 9.39; 4.19; 2.21; 7.01; 8.61; 9.01; 11.01; 11.01
Find the sum of these; you get 97.72. Divide this by 10, the number of data points, and you get 9.772, which rounds to 9.77, for the MAD.
For the Europe data, complete the same process. The sum of the data points is 74.5; divide this by the number of data points, 10, and you get 7.45.
Subtract each data point from the mean and you get:
9.75; 4.25; 0.35; -0.65; -0.85; -1.35; -2.35; -2.45; -3.15; -3.55.
Take the absolute value of each of these and you get:
9.75; 4.25; 0.35; 0.65; 0.85; 1.35; 2.35; 2.45; 3.15; 3.55
Find the sum of these, and you get 28.7. Divide this by 10 and you get 2.87 for the MAD.
Since the MAD of the US data is larger than that of the Europe data, this means there is more variation in the US data.
