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The phrase "acceptable amount of variation" is correct and usable in written English.
It can be used when discussing tolerances or permissible differences in a particular context, such as statistics, quality control, or research.
Example: "In our study, we found that an acceptable amount of variation in the results was within 5% of the expected values."
Alternatives: "tolerable level of variation" or "permissible degree of variation".
Exact(1)
This clinically acceptable amount of variation for diabetes consultation was set as 20% by a group of expert specialist consultants who had more than five years of telemedicine experience.
Similar(59)
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And, her nights, a totally acceptable amount of wine.
It appeared to have received the minimum acceptable amount of effort from everyone involved.
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The SCAP study was conducted in accordance with the maximum acceptable amount of dose reduction and maximum acceptable reduction rate based on these tables.
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You will have to judge what your parents will find an acceptable amount of time spent on Facebook.
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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