9 7 6 8 7 5
To find the mean absolute deviation of the data, start by finding the mean of the data set.
[ 9 + 7 + 6 + 8 + 7 + 5 ] / 6 = 42 / 6 = 7
Find the absolute value of the difference between each data value and the mean: |data value – mean|.
l9 -7 l = 2 l 6 - 7 l = 1 l 7 - 7 l = 0
l 7 - 7l = 0 l 8 - 7 l = 1 l 5 - 7 l = 2
Find the sum of the absolute values of the differences.
2 + 0 + 1 + 1 + 0 + 2 = 6
Divide the sum of the absolute values of the differences by the number of data values.
6 /6 =
1 = mean absolute deviation