Crossword Genius

An article put out by perturbed mathematician re: statistical concept (10,4)

Ross

I believe the answer is:

arithmetic mean

I'm a little stuck... Click here to teach me more about this clue!

'statistical concept' is the definition.
The answer and definition can be both related to thinking as well as being singular nouns.
Perhaps you can see an association between them that I can't see?

'an article put out by perturbed mathematician re' is the wordplay.
I cannot really understand how this works, but
'an' could be 'i' (Roman numeral for one) and 'i' is found in the answer.
'article' could be 'art' (abbreviation for article) and 'art' is present in the remaining letters.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for arithmetic mean that I've seen before include "average amount" , "Ten is that of nine and eleven" .)

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