I agree with your point, just wanted to mention that mathematical statistics is a thing. It's usually a name given to textbooks or courses where statistics is b

I agree with your point, just wanted to mention that mathematical statistics is a thing. It's usually a name given to textbooks or courses where statistics is built up from foundations in probability theory and where theorems are stated and proven vs introductory statistics courses that approach things with a more decidedly applied orientation that usually also touch lightly on subjects like experimental design and data collection