rap sheet vs written account

rap sheet and written account both are nouns.

Word	Noun	Adjective	Verb	Adverb
rap sheet	Yes	No	No	No
written account	Yes	No	No	No

As nouns, written account is a hypernym of rap sheet; that is, written account is a word with a broader meaning than rap sheet:

rap sheet: the daily written record of events (as arrests) in a police station
written account: a written document preserving knowledge of facts or events

Other hypernyms of rap sheet include written record.

rap sheet (noun)	written account (noun)
the daily written record of events (as arrests) in a police station	a written document preserving knowledge of facts or events