jumping up and down vs jumping

jumping up and down and jumping both are nouns.

Word	Noun	Adjective	Verb	Adverb
jumping up and down	Yes	No	No	No
jumping	Yes	No	No	No

As nouns, jumping is a hypernym of jumping up and down; that is, jumping is a word with a broader meaning than jumping up and down:

Other hypernyms of jumping up and down include jump.

jumping up and down (noun)	jumping (noun)
jumping in one spot (as in excitement)	the act of participating in an athletic competition in which you must jump
	the act of jumping; propelling yourself off the ground