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Discover LudwigThe word "the variability" is correct and can be used in written English.
You can use it when referring to the degree of difference in something, such as a range of values. For example, "The variability in temperatures across the country can be quite dramatic."
Dictionary
the variability
noun
The state or characteristic of being variable
synonyms
Exact(60)
The Depression illustrates the variability vividly.
The variability between our schools in our country is huge.
The variability may be in the interpretation, not in the morality.
Angels tipped the Earth on its axis, subjecting it to the variability of seasons.
But here the variability is explained by characteristics of the doctor".
Stuart says he thought Ofqual's interim report said the variability was unusually large.
"The more data points" on rain, Dr. Kean said, "the better we can understand the variability".
If we could just sort out the variability, that would make a huge difference".
Pit-bull breeds led the pack, but the variability from year to year is considerable.
The passion each woman has for Gwen John's canvas derives from the variability of its message.
In fact, fish intake accounted for less than half of the variability in DHA levels.
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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