Means

Mean is a balance point: sum of the distances from the mean of the data less than the mean equals the sum of the distances from the mean of the data more than the mean:
Σ|xj-x̄| where xj<x̄ = Σ|xk-x̄| where xk>x̄;
I.e. the sum of the reds' distances from μ equals the sum of the greens' distances from μ.
If the data "bars" were equal weight, the beam would balance at the mean.


Σ|xj-x̄| = 285
Σ|xk-x̄| = 285



Σ|xj-x̄| ≈ 98
Σ|xk-x̄| ≈ 98


2D data: