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The phrase "according to figures assembled" is correct and usable in written English.
It can be used when referencing data or statistics that have been collected or compiled from various sources.
Example: "According to figures assembled by the research team, the population has increased by 10% over the last decade."
Alternatives: "based on compiled data" or "according to gathered statistics."
Exact(2)
But according to figures assembled for The New York Times by Equilar, which compiles data on executive compensation, media companies employ seven of the top 20 highest paid chief executives.
Saudi Arabia is the British government's biggest weapons client: the government has licensed exports worth £6.8bn since David Cameron entered Downing Street, including £2.8bn on aircraft, munitions and other weaponry since the bombing of Yemen began, according to figures assembled by CAAT.
Similar(58)
According to figures compiled at the F.B.I.
Just $1.8 million, according to figures from 2010.
Assembling the Panels Join the two large rectangular cardboard panels together according to Figure 2, to form the cooker.
According to Figure 5,.
(1 ORFs are numbered according to Figure 1.
Unigenes were grouped according to Figure 1.
In some respects, that has been the case, according to tallies assembled by independent organizations.
According to Wikipedia, the assembled leaders — quick memory quiz: Can you name them?
According to Ceres, the assembled group represented over $20 trillion in wealth.
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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