Answer:
Step-by-step explanation:
1. Finding the mean:
[tex]\overline{X}=\dfrac{4+6+6+2}{4} =\dfrac{18}{4} =\dfrac{9}{2}=4.5[/tex]
2 Find the mean of the distance from data to the mean
[tex]MAD=\dfrac{|4-\dfrac{9}{2}|+|6-\dfrac{9}{2}|+|6-\dfrac{9}{2}|+|2-\dfrac{9}{2}| }{4} \\\\=\dfrac{|\dfrac{8-9}{2}|+|\dfrac{12-9}{2}|+|\dfrac{12-9}{2}|+|\dfrac{4-9}{2}| }{4} \\\\=\dfrac{|\dfrac{-1}{2}|+|\dfrac{3}{2}|+|\dfrac{3}{2}|+|\dfrac{-5}{2}| }{4} \\\\=\dfrac{\dfrac{1}{2}+\dfrac{3}{2}+\dfrac{3}{2}+\dfrac{5}{2} }{4} \\\\=\dfrac{\dfrac{18}{2}}{4} \\\\=\dfrac{9}{4}\\\\=2.25\\[/tex]
