What Is Ergodicity? (2016)
Thus, you obtain two different results: one statistical analysis over the entire ensemble of people at a certain moment in time, and one statistical analysis for one person over a certain period of time. However, if one takes the number of crimes committed by black people in a certain day divided by the total number of black people, and then follows one random-picked black individual over his life, one would not find that, e.g. each month, this individual commits crimes at the same rate as the crime rate determined over the entire ensemble. However, this does not mean that over the course of their lives each individual votes with party A in a% of elections, with B in b% of elections and so on …
A similar problem is faced by scientists in general when they are trying to infer some general statement from various particular experiments.
Source: larspsyll.wordpress.com