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The phrase "large variability" is grammatically correct and can be used in written English.
It is often used to refer to a wide range of differences or fluctuations within a certain set or group. Example: The results of this study showed a large variability in students' test scores, with some scoring significantly higher than others.
Exact(60)
Howell, commenting on the very large variability in his results, attributes it largely to this cause.
We observed large variability in terms of the practices of adjustment for stratification or baseline variables.
We need to find ways to store energy and design electrical grids that can handle the large variability of both electricity demand and supply.
The deduced mesospheric OH and O2 temperatures show large variability.
Moreover, there was large variability in IA between rats.
Nevertheless, the molecular mechanism(s) underlying this large variability remains elusive.
The clinical presentation of cardiac sarcoidosis covers a large variability in arrhythmogenicity.
A CAN communication system possesses a large variability in the transmission latency.
The large variability of the oxygenation response across the patients [23].
The comparison of variograms (Figure 6) indicated a large variability in the variance of the datasets.
In the U.S. there is large variability in housing prices across cities.
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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