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The phrase "explain variation" is a correct and usable phrase in written English.
It can be used when you are asking someone to provide an explanation for a difference or range of differences. For example, "Please explain variation in the results of the experiment."
Exact(60)
Adler, P. B. et al. Functional traits explain variation in plant life history strategies.
Dual-process morality researchers could explain variation by analysing cultural repertoires that structure moral choices.
The results reveal that departmental silos may not adequately explain variation in stakeholder perspectives.
Soil fertility and farming type were important factors to explain variation in species composition.
These variables were used to explain variation in macrophyte richness derived from field surveys.
Compared to bone with remodeling, the mineralization index in incuses does not explain variation of microhardness.
Nevertheless, we have much to learn about factors that explain variation in social structure.
In answering this question, Viterna develops a theory of micro-level mobilization that allows scholars to explain variation across activists.
Our results show that reputation helps explain variation in activist campaign success across different categories of institutional investors.
The degree of cultural and social dissimilarity between one's life before and during college helps explain variation in experiences.
Simpson, A. J., Richardson, S. J. & Laughlin, D. C. Soil climate interactions explain variation in foliar, stem, root and reproductive traits across temperate forests.
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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