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# how do i find the absolute deviation

on this paper it says to find the absolute deviation for this chart but i do not know how

### 1 Answer by Expert Tutors

Mark O. | Learn Physics, Math, and Comp Sci from Professional ScientistLearn Physics, Math, and Comp Sci from P...
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Hi Jack,

The mean absolute deviation of the average absolute value of the difference between each data member and the mean of the set.

Let me construct an example.

Let's say that we have 10 data points:
25, 37, 45, 57, 63, 66, 68, 75, 84, 93

Let's compute the mean, m: m = (25+37+45+57+63+66+68+75+84+93)/10 = 61.3

Let's now calculate the absolute deviation for each data point:

|25 - 61.3| = 36.3
|37 - 61.3| = 24.3
|45 - 61.3| = 16.3
|57 - 61.3| = 4.3
|63 - 61.3| = 1.7
|66 - 61.3| = 4.7
|68 - 61.3| =6.7
|75 - 61.3| = 13.7
|84 - 61.3| = 22.7
|93 - 61.3| =31.7

Finally, we find the mean of all of these absolute deviations: (36.3 + 24.3 + 16.3 + 4.3 + 1.7 + 4.7 + 6.7 + 13.7 + 22.7 + 31.7)/10 = 162.4/10 = 16.24

This is basically a measure of the average distance that any data point is from the mean value.