weighted mean vs weighted average

weighted mean and weighted average both are nouns.

Word	Noun	Adjective	Verb	Adverb
weighted mean	Yes	No	No	No
weighted average	Yes	No	No	No

As nouns, weighted mean and weighted average are synonyms defined as:

weighted mean and weighted average: An average in which each quantity to be averaged is assigned a weight, determining the relative importance of each quantity on the average.

Other synonyms of weighted mean include weighted arithmetic mean.

weighted mean (noun)	weighted average (noun)
An average in which each quantity to be averaged is assigned a weight, determining the relative importance of each quantity on the average.	An average in which each quantity to be averaged is assigned a weight, determining the relative importance of each quantity on the average.