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The phrase "a common set of statistics" is correct and usable in written English.
It can be used when referring to a collection of data points or metrics that are shared or recognized by a group or community.
Example: "In our research, we analyzed a common set of statistics to draw meaningful conclusions about the trends in the industry."
Alternatives: "a shared collection of data" or "a standard set of metrics."
Exact(1)
In order to compare networks, model fits are obtained for all networks using a common set of statistics – see below.
Similar(59)
We provide a common set of life-cycle earnings statistics based on administrative data from the United States, Canada, Denmark and Sweden.
We calculated summary statistics in a common set of units, providing insights into the magnitude and regional variability of OC in precipitation.
Moreover, the CM solves the problem of integrating different software pieces produced by different programmers but developed following a common set of rules, since it provides a common Application Programming Interface (API) that eases the control of the execution cycle, the statistics collection method, and the interprocess communication among software modules running on different machines.
We have a common set of objectives.
It did not envision a common set of economic regulations, or even a common currency.
But we believe in a common set of ideals.
It provides a common set of services, data, and tools.
Q. National accounts variables expressed in a common set of prices in a common currency?
He's a common vocabulary, a common set of heroes and villains and everyone in between.
They don't want a "common" set of rules.
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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