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The phrase "a statistical fluke" is correct and usable in written English.
It can be used to describe an event or result that is unlikely to happen by chance, often in the context of data analysis or research findings.
Example: "The sudden spike in sales last quarter was likely just a statistical fluke, not a sign of a lasting trend."
Alternatives: "an anomaly" or "a random occurrence".
Exact(53)
"This is not an accident or a statistical fluke.
"It's not just a statistical fluke," Mr. Roth said.
"This implies more strongly that it's not a statistical fluke".
The trend may be a statistical fluke, though.
On some level, the case would be a statistical fluke.
Could State-National Differences Be a Statistical Fluke?
Since there was no logical explanation for this, Mathematica noted the chance of a statistical fluke.
Judee Shuler, an Eisai spokeswoman, said the study results were a statistical fluke.
Still, some researchers suspect that the indicator may be a statistical fluke.
It is unlikely that Mr. Santorum's last-minute rebound is purely a statistical fluke.
According to the Harvard group there was a one in 2m chance of the result being a statistical fluke.
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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