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Here's a proposal: popular books for statistically literate people.
I've read several books from the Oxford University Press Very Short Introduction series. I like the general idea of these books: roughly 140 A6 pages concisely introducing a subject, and a list of further reading if you want it.
In practice, the ones on quantitative/scientific disciplines seem to put a lot of time and effort into writing around public ignorance of statistics. Those 140 pages would go a lot further if the author could just assume familiarity with statistical research methods.
This seems like a consistent enough body of knowledge to "factor out" of a lot of material, as much educational material with prerequisites does.
Good idea.
The series includes one on statistics and one on probability. How do they do as provision of such background?
For that matter, there's one on causation, although from the table of contents it appears to be 9/10 about philosophies of causation and only 1/10 about how to discover causes.