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The phrase "a mean intensity of" is correct and usable in written English.
It can be used in contexts where you are discussing average levels of intensity, such as in scientific or technical writing.
Example: "The experiment measured a mean intensity of light emitted from the source over a period of time."
Alternatives: "an average intensity of" or "a typical intensity of".
Exact(22)
According to the MHW metrics, this event had a duration of 251 days, a maximum intensity of 2.9 °C, a mean intensity of 1.8 °C and a cumulative intensity of 443 °C-days.
The most severe drought by cluster analysis is expected to occur in the G3 region with a mean intensity of −2.85 in 2027.
The event profiles all had a mean intensity of 10 mm/h and the same 30 min duration, but included intensity bursts or peaks of up to 100 mm/h early or late within the event, as well as events with multiple intensity peaks.
Headache was reported on an average of 2.4 ± 2.1 days/month, with a mean intensity of 2.4 ± 0.5 (also moderate to severe pain).
Headache intensity was moderate or severe in 88.2% of participants; we graded "mild", "moderate" and "severe" on a scale 1 3, treated these values as continuous data and derived a mean intensity of 2.1 ± 0.6.
There was no difference in the level of exertion reached during a simulated shift between recovery conditions, with players skating up to a mean intensity of 83 ± 7 % (197 ± 1 bpm) and 84 ± 6 % (198 ± 1 bpm) of age-predicted HRmax for the passive and active trials, respectively.
Similar(38)
NURR1 was strongly expressed in normal breast epithelium, with a mean intensity score of 2.4.
This differed significantly from cancerous tissue cores which had a mean intensity score of 1.4.
Control, blank, and test spots with a mean intensity below that of the mean of all negative controls were removed from the analysis.
For example, a respondent who performed light household activities (2.5 MET) and played tennis (6.0 MET) would receive a mean intensity component score of 4.3 MET.
The 136-day period from 30 December 2015 to 13 May 2016 was the longest and most intense MHW on record at Maria Island (a maximum (mean) intensity of +3.2 °C (+1.8 °C); Fig. 2g, red-shaded region and blue line).
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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