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The phrase "a single observation" is correct and usable in written English.
It can be used when referring to one specific instance or piece of data that has been noted or recorded.
Example: "Based on a single observation, it appears that the hypothesis may need to be revised."
Alternatives: "one observation" or "a solitary observation".
Exact(60)
Redundancy between pairs of observers significantly improves the sensitivity over a single observation.
Nonetheless, Mrs. Tracy makes a single observation that redeems her.
The variability of the average is exactly the same as that of a single observation.
They may show that individuals do think and care about handwriting, but they contain not a single observation that has stayed with me.
Bond's being was distilled in a single observation: "I'm an optimist, even though I see the worst in everything".
The selfish act of a man singularly motivated by goals, and the selfless one putting life into perspective, were combined in a single observation.
Got just a single observation?
(a) Single observation LLR scores.
A single observation arc spans 3° to 5° on average.
Estimations of relative abundance classically are based on a single observation of several sites.
With independent observations, the theorem applies to the potential inclusion of a single observation.
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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