Mean and variance are closely related to center of mass and moment of inertia. This is good intuition to have, and it's statistical. The only difference is that the first two are moments of a probability distribution, and the second two are moments of a mass distribution.

Mean and variance are closely related to center of mass and moment of inertia. This is good intuition to have, and it's statistical. The only difference is that the first two are moments of a probability distribution, and the second two are moments of a mass distribution.

Using the word "distribution" doesn't make it statistical.