Feynman said it best that with each question you keep going back and back and back trying to exemplify through allusion?
Words will always fail to accurately describe the totality of the system and even worse the math formulas don’t do any better especially when considering statistics.
The average grades in my class is 80 but that doesn’t mean Ryan sitting in the front row got a 100 and Andrew in the middle row got a 62. Maybe everyone did get an 80, so then how can I describe not only in words but in function the distinction between these two environments; ie the 100&62 and the all 80s class?
Temperature is a very inexact model of the dynamics of a system. It does not tell you anything about the energy of any individual atom. It's an aggregate number.
Thermodynamics was an eye opening course for me. Its impressive how much real engineering can be done with lumped parameter models. The author wants to convey the limitations of that approach.