I’ve tutored it from middle school level up to helping with dissertation work. The way it is taught varies so dramatically from class to class and field to field. There’s so many subtle and weird factors in interpretation that it’s honestly the most stressful thing to tutor.
The first statistics course I ever took was my final semester of college. “Statistics for Science and Engineering” was the title of the course.
It took place in a computer lab for no good reason. Literally the only reason why it took place there was because they didn’t have a non-computer-lab room for it.
The guy who sat in front of me played video games all class every class. And my super sleep-deprived college student brain thought “if he can get away with it, so can I”. I followed suit and played video games. A Quake-based FPS named Nexuiz (which has since renamed to Xonotic).
I was sure the professor was going to punish me with a bad grade. But I got an A. So I guess I must be good at it.
I can’t say I remember one thing from that class today. I remember things from calculus 1, 2, and 3. And from the discrete math class that I was the only one that did well in. But statistics is a complete blank.
Except for the day one student went and wrote “Dr. Stoopid is stoopid” on the board before the professor showed up. That guy had a very unique sense of humor.