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Bob's exactly right that you don't provide enough information to do more than guess. "Absolute Average" isn't a term that has a common definition.
And posting "does not work" without explaining what "does work" means to you, is asking to have your mind read.
However, as a guess, if you mean to average the absolute values of each cell in the range, then array-entering this
=AVERAGE(ABS(A1:A10))
using CMD-RETURN rather than just RETURN should work. You can find out more about array formulae in Excel Help.