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The phrase "statistical data on" is correct and usable in written English.
You can use it when referring to quantitative information or metrics related to a specific topic or subject.
Example: "The report provides statistical data on the impact of climate change on global temperatures."
Alternatives: "quantitative information regarding" or "numerical data about".
Exact(59)
We constructed a parallel longitudinal analysis of statistical data on one emerging priority – road accidents – to determine whether policy shifts resulted in reduced injuries, hospitalizations and deaths.
[A15.] I.R.S. Withholding Statistical Data on Audits Statistics records of I.R.S. audits are being withheld from the public despite a 1976 court order requiring their disclosure, according to a legal motion filed last week.
The statistical data on strength are generated starting from statistics on material properties and using the Monte Carlo simulation method.
Student loan suicides are not unheard of, though it's hard to obtain statistical data on the subject.
That presents a logistical nightmare for foreigners trying to do business in Russia, where, according to the law, they are forbidden from even looking at statistical data on energy reserves.
Life insurance, too, was connected only loosely to probability calculations and mortality records, though statistical data on death became increasingly available in the course of the 18th century.
(For treatment of the mining, recovery, and refining of titanium, see titanium processing. For comparative statistical data on titanium production, see mining).
Sarah Holewinski, the group's executive director, said the official could "make sure proven techniques to avoid civilians are in place and constantly improved, maintain proper investigative and statistical data on civilian harm in combat zones, and ensure prompt compensation" to civilians unintentionally harmed by American combat operations.
The statistical data on the plasmaspheric ion density is presented.
Statistical data on energy in the financial services is used.
They would also have to collate statistical data on all such offences.
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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