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"fewer data" is correct and can be used in written English
You can use it when you are referring to a smaller amount of information in comparison with a larger quantity. Example: Data from our sample showed fewer data points than our main dataset.
Exact(60)
The cost savings simply from running fewer data centers is estimated at more than $3 billion a year.
Points of Entry: This Week's Recommendations THE OPENING Contrary to Pandora's instructions, it's most interesting if you enter in fewer data points and let the machine extrapolate.
Similar confusion, but fewer data, exists on the effect of testosterone on CAD risk in men.
Most empirical investigations study young children, with fewer data obtained from older subjects.
Obviously the error becomes larger because of fewer data, but the estimate itself remain unchanged.
This means that there would be fewer data adjacent to data ζ j along feature g.
For the child population, need is more difficult to quantify because there are fewer data.
NMR structures display more variability, but is this because crystal contacts are absent or because of fewer data constraints?
In the frequency domain, surface wave analysis usually requires many fewer data samples than in the time domain.
Allowing servers to execute such processing improves the system performance since fewer data are transferred through the network [8].
As listed in Table 4, some sub-cluster contained large number of data points, and others contained fewer data points.
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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