statistician vs mathematical statistician

statistician and mathematical statistician both are nouns.

Word	Noun	Adjective	Verb	Adverb
statistician	Yes	No	No	No
mathematical statistician	Yes	No	No	No

As nouns, statistician and mathematical statistician are synonyms defined as:

statistician and mathematical statistician: a mathematician who specializes in statistics

statistician (noun)	mathematical statistician (noun)
someone versed in the collection and interpretation of numerical data (especially someone who uses statistics to calculate insurance premiums)	a mathematician who specializes in statistics
a mathematician who specializes in statistics