What is the MAD for this data set. 79,82,84,81,77,85,82,80,78,83 Also, tell me how you did it by giving all the work you done to solve it.
1. Find the mean (average)
[79+ 82 + 84 + 81 + 77+ 85+ 82+ 80+ 78+ 83 ] / 10 = 81.1
2. Find the difference between each data value and the mean and take the absolute value of each difference
abs [79 - 81.1] = 2.1
abs [82 - 81.1] = .9
abs [84 - 81.1] = 2.9
abs [81 - 81.1] = .1
abs [77 - 81.1] = 4.1
abs [82 - 81.1] = .9
abs [85 - 81.1] = 3.9
abs [80 - 81.1] = 1.1
abs [78 - 81.1] = 3.1
abs [83 - 81.1] = 1.9
4. Find the mean (average) of these differences
[ 2.1 + .9 + 2.9 + .1 + 4.1 + .9 + 3.9 + 1.1 + 3.1 + 1.9 ] / 10 = 2.1 = MAD