"wrong"
The joke more properly reads, "What five-letter word does every Harvard graduate spell (or pronounce) wrong? The answer is "wrong."
The letters can be used to spell the 10 letter word conscience. They also spell the 9 letter words nicotines. They can be used to spell the 8 letter words connects, niceties, nicotine and nineties.
FOSEILPR can be rearranged to spell the word "profiles".
The letters can be used to spell the 4 letter words hoof and roof. They also spell the 3 letter words fir and for.
nutrients
The joke more properly reads, "What five-letter word does every Harvard graduate spell (or pronounce) wrong? The answer is "wrong."
Incorrectly
Oxford
Graduate.
To spell, and to find meanings
I think you mean graduate as in - I have one year to go before I graduate from University.
The correct spelling is "alumnus" (a male graduate of a school, with alumna being a female graduate).
The likely word is "exaggerated" (overstated or embellished).
Without a hyphen
The spelling is correct for "every world."The possible question "how do you spell every word" is unanswerable.
You spelled it correctly if you are seeking a possessive-- showing something the graduate owns. The graduate's diploma is on the desk. But if you are just referring to a plural (more than one graduate), you don't need the apostrophe: Many college graduates are looking for jobs now.
There is no 8-letter anagram, although the letter spell "a chiming."It is possible that one I should be a R, to spell charming.