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The phrase "a great majority of data" is correct and usable in written English.
It can be used when discussing a significant portion of data in a particular context, such as research findings or statistical analysis.
Example: "In our study, a great majority of data indicated a positive correlation between the variables."
Alternatives: "a large portion of data" or "most of the data".
Exact(1)
We found that a great majority of data points are located above the diagonal line (P < 0.001, binomial test), indicating that the synchrony generally started to occur before the occurrence of the F–I transition.
Similar(59)
The proposed atomic mobility parameters can reproduce a great majority of experimental data, including impurity diffusion coefficients, tracer diffusion coefficients, intrinsic diffusion coefficients and interdiffusion coefficients.
[ 55] From a pluralistic point of view, however, it is striking that a great majority of the bacterial data have to be excluded to achieve the reconstruction of a so-called "universal" tree.
A dedicated database (www.mmruv.info) is linked to the previous one and contains the great majority of data available in the literature, but does not provide its own interpretation (16).
The great majority of data is from studies using farm records (e.g., DHI data).
The great majority of data used primary (not transformed) cells, and the signalling defect is highly specific rather than general.
However, the great majority of data available are based on retrospective single-arm studies, not allowing to clearly dissect the prognostic vs the predictive role and, within this latter, to clarify whether the possible predictive role is truly specific for cisplatin or applicable to any kind of chemotherapy agent.
A great majority of these time series will include data on avian phenology.
Our data clearly showed that a great majority of the trigeminal intraepithelial fibers appear to innervate the SCCs at the entrance duct.
A great majority of modern buildings are equipped with Energy Management and Control Systems (EMCS) which monitor and collect operating data from different components of heating ventilating and air conditioning (HVAC) systems.
Finally, a great majority of the population was illiterate.
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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