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The phrase "with a standard deviation of" is correct and commonly used in written English.
It is typically used when describing numerical data and indicates the variability of the data points from the average. Example: "The study found that the mean age of participants was 40 years, with a standard deviation of 5 years." This means that the majority of participants were around 40 years old, but there was a range of ages with some being 5 years younger or older than the average.
Exact(60)
with a standard deviation of 12 µg/ml.
The mean was 27, with a standard deviation of 8.4.
The mean was 42.6 with a standard deviation of 13.
The mean of variable average Diversity is 0.135 with a standard deviation of 0.047.
The estimate for the rest of the sample is −0.026 with a standard deviation of 0.024.
The average score was 77 with a standard deviation of 16.
Feps on average are 1.6m tall, with a standard deviation of 0.2m.
The mean was 25, with a standard deviation of 9. See solutions here and histogram here.
Pimwits are taller: 2.0m on average, with a standard deviation of 0.3m.
Static coefficient of friction on wood averaged 0.43 with a standard deviation of 0.021, angle of repose 20.32° with a standard deviation of 1.84 and specific heat 1415.3 J/kg K with a standard deviation of 103.81.
A summarized report would have shown that the average was 10percentt, with a standard deviation of four percent.
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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