jocularity vs fun

jocularity and fun both are nouns.

Word	Noun	Adjective	Verb	Adverb
jocularity	Yes	No	No	No
fun	Yes	No	No	No

As nouns, fun is a hypernym of jocularity; that is, fun is a word with a broader meaning than jocularity:

jocularity: fun characterized by humor
fun: verbal wit or mockery (often at another's expense but not to be taken seriously)

Other hypernyms of jocularity include play, sport.

jocularity (noun)	fun (noun)
activity characterized by good humor	activities that are enjoyable or amusing
fun characterized by humor	violent and excited activity
a feeling of facetious merriment	a disposition to find (or make) causes for amusement
	verbal wit or mockery (often at another's expense but not to be taken seriously)