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The phrase "a large variation" is correct and usable in written English.
It can be used when discussing differences or changes in data, results, or characteristics within a particular context.
Example: "The study revealed a large variation in the participants' responses to the survey questions."
Alternatives: "a significant difference" or "a wide range".
Exact(60)
There was a large variation between the amounts.
There is, and always has been, a large variation in economic performance among Western European countries.
But there was a large variation, ranging from a low of £2,540 and a high of £6,911.
There can also be a large variation in reported materiality levels, even when companies are in the same sector.
Mesocotyl elongation displays a large variation among rice germplasm.
I(2ω) exhibits a large variation with no discernible pattern.
Further, a large variation of vehicles is now available.
There is a large variation of interpore distances.
Previous studies show a large variation in the CGRP levels.
In the present study, principle pollution indicator DO showed a large variation for station S1.
Therefore, a large variation in photoelectron flux associated with the spacecraft spin motion is not expected.
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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