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The phrase "amount of variability" is correct and usable in written English.
It can be used when discussing the extent or degree of variation in a dataset or phenomenon.
Example: "The amount of variability in the test scores indicates that some students struggled more than others."
Alternatives: "degree of variability" or "level of variability".
Exact(60)
From the set of variables, some variables may accounted for large amount of variability in the data set.
This allowed us to assess the amount of variability explained by a single variable [42].
This amount of variability explained by the group-level variable is higher than that reported in other studies.
There was a tremendous amount of variability in subjects' behavior.
"You find an enormous amount of variability right now in terms of aggressiveness" of treatment.
Transverse recordings showed the least amount of variability.
As studies on prefrontal cortical function lack a comparable read-out, the amount of variability in participants' responses remain unclear.
"While there was a considerable amount of variability – from El Niños and other things – there was an obvious upward trend in the data," Eakin says.
But there is an extraordinary amount of variability behind those figures.
Only later do you come to the surprising part: there is the same amount of variability now that there was in the 1980s and 1990s.
Despite this minute alteration, a substantial amount of variability is induced across the ensemble providing an ideal platform for this study.
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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