8.11.b

Mean Absolute Deviation 8th Grade

Texas Essential Knowledge and Skills (TEKS): 8.11.b
determine the mean absolute deviation and use this quantity as a measure of the average distance data are from the mean using a data set of no more than 10 data points; and

The mean absolute deviation of a data set is the average
of the distances between each value and the mean of the set.

To find the mean absolute deviation of a data set:

First, find the mean of the data set.

Next, find the absolute value of the difference between each value and the mean.

Then, find the average of the absolute values of the differences.

First, find the mean of the data set.

\frac{48 + 36 + 28 + 25 + 35 + 51 + 42 + 55}{8} = \frac{320}{8} = 40

Then, find the average of the absolulte values of the differences.

\frac{8 + 4 + 12 + 15 + 5 + 11 + 2 + 15}{8} = \frac{72}{8} = 9

Mean Absolute Deviation