1) I have calculated various Drought Indices for all the 26 Mandals of the Warangal Region India. Can I calculate the average value of a particular drought index in any sub-region directly by using the software?
In R, you can calculate the statistics easily with package 'raster'. If the subregions are defined by another raster, use zonal(x, z, fun). If they are defined by a vector (i.e. polygons), use extract(x, y, fun).
To calculate the average values of a raster, you can try the calculation on ArcGIS using the Zonal statistics tool with parameter MEAN. The MEAN parameter calculates the average of all cells in the raster layer to be summarized that belong to the same zone as the output cell.
The links below are some helpful video tutorials, please check them out..
The easiest way is using Import vector and Extract mask values in SNAP. After extracting the pixel values it is very easy to perform any analyses you need.