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mdc462531Mdc46253

2+6+8+12+12=40
40 divided by 5=8

6+2+0+4+4=16

16 divided by 5=3.2

MAD=3.2

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.

\(Mean\:Deviation=\frac{\sum\left|x-\mu\right|}{N}\)

First we find, Mean of given data set

Mean, \(\mu\) = \(\frac{2+6+8+12+12}{5}=\frac{40}{5}=8\)

\(Mean\:Deviation=\frac{\sum\left|x-8\right|}{5}\)

\(=\frac{\left|2-8\right|+\left|6-8\right|+\left|8-8\right|\left|12-8\right|+\left|12-8\right|}{5}=\frac{6+2+0+4+4}{5}=\frac{16}{5}=3.2\)

Therefore, Mean Absolute Deviation is 3.2

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