Statistics by definition is not science. The vernacular usage of science refers to the empirical sciences; physics, chemistry, geography, biology. Mathematics, statistics, and computer science are all formal sciences, sometimes simply referred to as math.

See the application section of https://www.cdc.gov/csels/dsepd/ss1978/lesson1/section1.html.

And for when the two fields clash: https://www.nature.com/articles/s41467-018-04243-3