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The phrase "average of cases" is correct and usable in written English.
It can be used when discussing statistical data or outcomes that represent a typical value derived from multiple cases or instances.
Example: "To determine the effectiveness of the treatment, we calculated the average of cases over the past year."
Alternatives: "mean of cases" or "typical case average".
Exact(3)
Seasonal indexes were calculated dividing the monthly frequency of confirmed cases by the average of cases per year.
In this case, the average of dengue cases during 4 weeks is compared with the average of cases during a period of 12 weeks in the preceding 5 years (i.e. the same 4 weeks as the actual observation period plus 4 weeks before and 4 weeks after the observation period [ 15]).
Data concerning the number of human cases of VL in the urban area of Governador Valadares from 2008 to 2011 was obtained from the Epidemiology Management/DVS/SMS, that considered the municipality as an area of intense VL transmission (average of cases in the last 5 years ≥ 4.4 cases) in the state of Minas Gerais [ 5].
Similar(57)
The weekly averages of cases per sentinel were less than one case for most prefectures in other years.
In 2011 and 2013, the two large-scale HFMD epidemic years, the weekly averages of cases per sentinel were 1 4 cases.
For each model, average scores of cases were higher than average scores of controls at every time interval (P <0.01).
HO-CDI incidence rate decreased from an average of 13.0 cases to 9.7 cases per 10,000 patient-days (P = 0.008).
There was an average of 57 cases in men and 20 cases in women per year.
The average number of cases is about 12.
MP: What are the average number of cases each student is covering?
Average time of cases closed per month varied between 33 and 49 days, with the October figure being 38 days.
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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