wonder vaguely

It modifies "wondered".

Thank you for the answer.
If otherwise, does the sentence become completely odd to understand?

"vaguely how many..." seems an unusual thing to wonder. This may be partly because the notion of uncertainty is already supplied by the verb "wonder" itself. However, in "wondered roughly how many", the word "roughly" does modify "how many", so there seem to be other factors involved too, probably to do with familiar patterns of collocation. "wonder vaguely" (or "vaguely wonder") is a commo

Thank you for this detailed information. It really helps a lot.

I might receive a vague answer to my question, but I don't understand how I can vaguely wonder. Just a comment.

PhilipI might receive a vague answer to my question, but I don't understand how I can vaguely wonder.

Really? That does surprise me. It is familiar combination to me, and seems common enough according to Google results.

PhilipI don't understand how I can vaguely wonder.

I take vaguely to mean without any really great interest or enthusiasm. It blocks any association wonder has with ponder (deeply). We might wonder what it's like for us after we die, but we wonder only vaguely what to have for lunch tomorrow.

I often (if not normally ) vaguely remember something, but I can't get 'vaguely wonder' to make much sense to me. And I