Question

Easiest way to solve this?

Answer 1

Explanation:

1. Finding the mean:

`\overline{X}=(4+6+6+2)/(4) =(18)/(4) =(9)/(2)=4.5`

2 Find the mean of the distance from data to the mean

`MAD=(|4-(9)/(2)|+|6-(9)/(2)|+|6-(9)/(2)|+|2-(9)/(2)| )/(4) \\\\=(|(8-9)/(2)|+|(12-9)/(2)|+|(12-9)/(2)|+|(4-9)/(2)| )/(4) \\\\=(|(-1)/(2)|+|(3)/(2)|+|(3)/(2)|+|(-5)/(2)| )/(4) \\\\=((1)/(2)+(3)/(2)+(3)/(2)+(5)/(2) )/(4) \\\\=((18)/(2))/(4) \\\\=(9)/(4)\\\\=2.25\\`

Answer 2

`add \: all \: and \: divide \: it \: by \: 4 \\ (4 + 6 + 6 + 2) / 4 \\ 18 / 4 \\ 4.5`