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Discover Ludwig"were averaged over" is a correct and usable phrase in written English.
It is commonly used in scientific or mathematical writing to describe the process of calculating an average from a set of numbers or data points. Example: "The temperatures were averaged over a span of two weeks to account for any fluctuations in weather patterns."
Exact(59)
Evoked potentials were averaged over 50 trials.
These intensities were averaged over all mCherry-positive cells.
GSEA results were averaged over the three replicates.
Data were averaged over 64 acquisitions.
The experiments were averaged over 30 executions.
The results were averaged over 50 runs.
Reported numbers were averaged over three runs.
All the simulation results were averaged over 50 independent runs.
All the presented results were averaged over 20 simulation runs.
The time figures were averaged over 20 runs.
The results were averaged over 300 Monte Carlo runs.
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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