Answer:
Mean Absolute Deviation is 3.2
Step-by-step explanation:
Given Data Set: 2 , 6 8 , 12 , 12
We have to find Mean Absolute Deviation.
[tex]Mean\:Deviation=\frac{\sum\left|x-\mu\right|}{N}[/tex]
First we find, Mean of given data set
Mean, [tex]\mu[/tex] = [tex]\frac{2+6+8+12+12}{5}=\frac{40}{5}=8[/tex]
[tex]Mean\:Deviation=\frac{\sum\left|x-8\right|}{5}[/tex]
[tex]=\frac{\left|2-8\right|+\left|6-8\right|+\left|8-8\right|\left|12-8\right|+\left|12-8\right|}{5}=\frac{6+2+0+4+4}{5}=\frac{16}{5}=3.2[/tex]
Therefore, Mean Absolute Deviation is 3.2
