Anomalous vs Paranormal - What's the difference?

As adjectives the difference between anomalous and paranormal

is that anomalous is deviating from the normal; aberrant or abnormal while paranormal is that cannot be explained by scientific methods.

(en adjective)

Deviating from the normal; aberrant or abnormal.

Of uncertain or unknown categorization.

Having anomalies.

* anomalously

(en adjective)

That cannot be explained by scientific methods.