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The phrase 'mean annual temperature' is correct and can be used in written English.
You can use it to refer to the average temperature for a given area over the course of a year. For example, "The mean annual temperature in this region is around 70°F."
Exact(59)
The mean annual temperature is about 50 °F (10 °C).
Mean annual temperature was 5 8 °C at all locations.
The mean annual temperature at sea level ranges 71 75 °F (22 24 °C).
The climate is mild, with a mean annual temperature of 47 °F (8.5 °C).
The mean annual temperature reached 2.5° C above that of today.
The annual precipitation and mean annual temperature are 2201 mm and 24.5 °C, respectively.
The mean annual temperature for Reykjavík is 40 °F (4 °C).
The mean annual temperature is 59°FF (14 °C), but temperatures vary seasonally and diurnally.
In 2013, the mean annual temperature was 10.3 °C and rainfall amounted to 908 mm.
The state's mean annual temperature is between 55 and 60 °F (13 and 16 °C).
Similar(1)
*MAI = annual precipitation/ mean annual temperature + 10).
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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