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I have a variety of raster files from the exact same study area including different values (hourly mean radiant temperature). Is it possible to find out the overall min/max values (not each individual one)?

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You could use Statistics for rasters tool (in Processing Toolbox | SAGA | Geostatistics).

It will give you Minimum and Maximum raster, each cell represents the minimum and maximum value across the layers. (There are also Percentile, Arithmetic Mean etc... if you like).

If you want to have single overall minimum or maximum value, next step will be Raster Layer Statistics tool (in Processing Toolbox | QGIS - Raster Analysis). Give Minimum raster from above operation to this tool, then MIN value is the overall minimum.

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