“The scientific field of statistics”
Statistics is NOT science. It is mathematics.
Science deals in certainty.
Statistics deals with probability.
Statistics is mostly definitely a science as its methods conform with scientific method. Each method is tested against another standard.
Science deals with probability and statistics in that date collected is often imprecise and to estimate paramters requires statistical methods. Scient
Heisenberg also dealt with probability. Cats the world over shudder at the mention of his name. :-)