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Plotting distribution of a variable on the map with a shape file - fyec - Jun-22-2018

I have a shape file of the region and values of the monthly mean temperatures of the locations over the years.
I want to plot monthly temperature distribution on the map according to each location's value together with the shape file that shows edges of the region.

For example, I have these data with 0.25 degree resoultion.
[Image: bNvgKo]

I want to plot this kind of distribution figure:
[Image: fO3CQT]

How can I start to plot this figure?
Thank you for your help.