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The phrase "the mean" is correct and commonly used in written English
It is typically used as a noun and refers to the average value of a set of numbers or data. It can also be used more broadly to refer to the central or average value in general. Example: "The mean score on the exam was 80%." This sentence means that when all the individual scores were added together and divided by the number of scores, the average or mean score was 80%. Another example: "The mean temperature for this time of year is typically around 65 degrees." This sentence is using "the mean" in a broader sense to refer to the typical or average temperature for this time of year.
Dictionary
The mean
adjective
Common; general.
Exact(60)
The mean streets.
The mean lions.
The mean annual humidity is 77 percent.
(The mean kids were also black).
The mean (±S.E.M).
The mean (S.D).
The mean for unskilled laborers is 89.
The mean estimates for this year: $2.57.
The Mean.
The "mean" lady.
The mean ACT composite score was 27.2.
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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