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On average only 47% of the search query words are typed with a correct accent.
Female words tend to spelled correctly more often ;)
BTW, Google does generally not offer the correct suggestion if you misspell.
I believe the main factor is computer related. Either these people purchased a English keybord or dont know how to set it up to type accentuated caracters.
The second factor is they dont know what the SE they are using do with special caracters. So they do without.
I tell my clients about this and leave them to decide if they want a few special pages to meet this demand.
Now dont shoot me, while not correct, it is more acceptable to use non accentuated versions in ALL CAPS. I have a couple of page titles like that...
We usually built a "side version" of site for misspels. Nav buttons are linking to pages with correct spelling. And for a couple of clients who can't afford to have any pages with misspels in public, we use a special script...
Sidenote : I sometimes see some correctly spelled pages in SERPs called by misspels for freshly crawled pages on Google.
I will use a phony example : Fresh page "L'Académie de la Langue Française" will be on top for the "L'Academie de la Langue Francaise" query, in the 'fresh' month.