Yes
"Does anyone know what is the most reflecting math action in BJ game ?
Placing a mirror inside the shoe to aid second dealing known as triple symetric x box shoe technology.
"I mean for example the standard deviation can tell you how close were the results to the probabilities of basic strategy for a few sesions(just in flat bet)?"
The standard deviation is the square root of the variance which is the sum of all possible outcomes minus the mean squared over number the of scores.