Plain English Meaning
A real wing usually changes shape from root to tip, which makes it hard to point to one chord line that represents the whole wing. The mean aerodynamic chord is a single calculated chord that stands in for the whole wing for weight and balance and stability calculations.
Full Definition
The chord of an imaginary rectangular wing that would produce the same aerodynamic forces and pitching moment as the actual wing. It is used as the standard reference length for expressing the location of the center of gravity (CG) and aerodynamic center on tapered or swept wings.