normal curve vs bell-shaped curve

normal curve and bell-shaped curve both are nouns.

Word	Noun	Adjective	Verb	Adverb
normal curve	Yes	No	No	No
bell-shaped curve	Yes	No	No	No

As nouns, normal curve and bell-shaped curve are synonyms defined as:

normal curve and bell-shaped curve: a symmetrical curve representing the normal distribution

Other synonyms of normal curve include Gaussian curve, Gaussian shape.

normal curve (noun)	bell-shaped curve (noun)
a symmetrical curve representing the normal distribution	a symmetrical curve representing the normal distribution