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We use so many phrases to represent the same concepts : https://en.wikipedia.org/wiki/Accuracy_and_precision
Unfortunately, as you can see on the wiki article, accuracy and precision have a different meaning for binary classifiers.
Meanwhile, variance has a different meaning in nearly every other statistical context. Confusion abounds. It gets worse with acronyms. Sigh... I'm just going on a rant, really.
What do you mean? The use in this context is the definition of variance:

Var(X) = E[(X - E[X])^2]

I notice this sometimes too. I think another example is "burnout" and "learned helplessness" [1]. Whenever I see another article on HN trying to understand what burnout is, I feel like we're rediscovering something psychologists discovered in the 60's.

[1] https://en.wikipedia.org/wiki/Learned_helplessness