I have some question about Ensemble Average. The macroscopic variable of some matter is average of microscopic variable of particles. And if time average is same with spatial average I know it as edgodic. My question is that if two different microscopic variables which have same average value, like center of mass, momentum, translational energy, (angular momentum has some error but it is very small so I ignore it.(it is acceptable error)) Does it can be seen as a same state for macroscopic view?