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I agree, but I thought most lower level classes were often titled things like "Intro to Probability and Statistics." Further, it's been my experience meeting and being around a lot of people who thought they knew stats that they only learned some basics which included but not limited to some basics such as: factorials, normal distributions, coin flips, t-test, permutations, combinations, etc.

I think a good stats education requires heavy emphasis on doing real problems with what you learn. It's so easy to do and apply to the world around you. Unfortunately, most books that even touch on this have absurd text and problem sets that revolve around pulling jelly beans out of a bag or rolling a dice (I mean yeah, but super literal). Mostly the professors and teachers I knew that taught statistics at the lower levels always seemed bored and wanted to be elsewhere. A shame, really.




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