The average (mean) absolute deviation of a data set is the average of the absolute deviations from a central point.
so we need to calculate the mean of this data set firstly:::
the mean of (7,10,19,14,3) = [tex] \frac{7+10+19+14+3}{5} =10.6[/tex]
then we will calculate how far each record is from this mean:::
7-10.6 = - 3.6
10-10.6 = - 0.6
19-10.6 = 8.4
14-10.6 = 3.4
3-10.6 = - 7.6
BUT as it requires the ABSOLUTE mean deviation, we will take the absolute values of the previous results
3.6 & 0.6 & 8.4 & 3.4 & 7.6
Adding them together and divide by the records number (5)::
ABSOLUTE mean deviation = [tex] \frac{3.6+0.6+8.4+3.4+7.6}{5} =4.72[/tex]
Done!!!
I hope you got
the idea
