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Mapping the standard deviation of values within a given proximity to a location

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I have scattered point data with a single attribute. How can I assign to a reference raster pixel, the mean and standard deviation of all points within radius r of that pixel?

I could buffer a point grid and iteratively compute this using python, but it feels like a common enough thing that there must be an out-of-the-box tool (I don't work with raster data much).

Image for clarity:

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