Extract data for each district in India from a matrix

I have a matrix (331X301) at 0.1 degree resolution data encompassing entire India and a district level shapefile with districtName as an attribute. I generally extarct data for each district from the matrix raster in ArcGIS. Is there a way to extract the mean data(mean of all the 0.1 degree grids that fall in that district) for all district in Matlab?

Link for shapefile: https://1drv.ms/f/s!Ajxh9oeoND9bhOcwrzoLfEqBUNUTOg

Link for data: https://1drv.ms/u/s!Ajxh9oeoND9bhOcva9i-ByW45YBwoA

Note: the data is 3 dimension-331x301x12.

[Image Analyst]

Are you using the mapping toolbox?

[Sourangsu Chowdhury]

Yes, I have the mapping toolbox as a part of my Matlab package

Answer 1

[Sourangsu Chowdhury]

refer to

https://in.mathworks.com/matlabcentral/answers/440861-extract-data-from-a-matrix-for-each-polygon-in-a-shape-file