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The phrase "a wider variation" is correct and usable in written English.
It can be used when discussing differences or deviations in a particular context, such as in research, statistics, or comparisons.
Example: "The study revealed a wider variation in the results than previously anticipated, indicating a need for further investigation."
Alternatives: "a broader range" or "a greater diversity".
Exact(25)
When looking at only obesity – a body mass index (BMI) of 30 and above – a wider variation was seen in adults across PHN areas.
The valley contains nearly half of Lebanon's arable land but is not as intensively farmed as the country's coastal plain because of less rainfall and a wider variation in temperature.
Compared to textbooks, museums seem to use a wider variation of cladogram geometries including curvogram/swoopogram and eurogram.
However, although blood pressure, as the targeted parameter, showed little variation between animals (Fig. 1a), there was a wider variation in both cardiac output (Fig. 1b) and PVD (Fig. 1c).
A comparison of soil loss from 'farmers' practice' control plots, also in the mid hills of Nepal, showed a wider variation between 2.8 and 131.6 t/ha from the same plot in different years, with an average of 39.4 t/ha, indicating the importance of timing (in terms of crop growth and ground cover) and intensity of localized rainfall events (Ya and Nakarmi [2004]).
The band continued to explore a wider variation of musical types in their fourth album, A Thousand Suns (2010), layering their music with more electronic sounds and beats.
Similar(35)
That average conceals a wide variation.
The report shows a wide variation of performance between European countries.
"Maintaining land requires a wide variation of skills," Ms. Bowers added.
Government research shows a wide variation in teacher vacancies and turnover across the country.
The report shows a wide variation around the country in the numbers who undergo surgery to remove the cancer.
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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