Step-by-step explanation:
The mean absolute deviation is:
MAD = ∑ᵢ₌₁ⁿ│xᵢ − μ│/ n
First, find the mean.
μ = (x + 2x + 3x + 4x) / 4
μ = 2.5x
Now find the mean absolute deviation:
MAD = (│x − 2.5x│+│2x − 2.5x│+│3x − 2.5x│+│4x − 2.5x│) / 4
MAD = (│-1.5x│+│-0.5x│+│0.5x│+│1.5x│) / 4
MAD = (1.5x + 0.5x + 0.5x + 1.5x) / 4
MAD = (4x) / 4
MAD = x
