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"statistics department" is a perfectly acceptable phrase in written English.
You can use it when discussing an organization's department which handles the collection and analysis of data. For example, "The company decided to hire two new analysts for the statistics department."
Exact(34)
The bride's father retired as the head of the statistics department at Purdue University.
He also served as chairman (1957 61) of the statistics department there before retiring in 1988.
He later moved to the University of Wisconsin to found a statistics department.
In Minsk, Ms. Biahliak, who has an economics degree, worked for the city statistics department.
Her father was the chairman of the statistics department at Rutgers.
The team's lead statistician was Chris Volinsky, director of the statistics department at AT&T, another stats rock star.
Similar(24)
The non-parametric Spearman correlation analysis was performed by the Bio-statistics depattment at Statens Serum Institut using SAS version 9.1.
Forest statistics are collected by the Statistics Department via Customs for timber imports.
Population statistics were obtained from the Hong Kong Census and Statistics Department (http://www.cenststd.gov.hk).
Data on mid-year population statistics were derived from the Government's Census and Statistics Department.
Statistics on actual and estimated (beyond 2004) mid-year population figures were obtained from the Census and Statistics Department.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com