Locate the pixels which have the biggest standard deviation in a time-series layer stack raster

[NikosTziokas]

I have 30 monthly tiff images of MOD11A2, and I created a time-series layer stuck using RStudio. Now I want to locate which pixels have the biggest standard deviation, so I can focus my analysis on these specific pixels. Should I try to locate them on each raster or I can find them using the time-series stack?  I can't figure this out. I am sorry if my question is broad.

[SteveLynch]

You could use  the CellStatistics tool.

[NikosTziokas]

Thank you for your fast reply. Use the tool to the time-series stack layer you mean? What I have thought is this: from the 8day products of MOD11A2 which I had, I should create monthly products using the sd and then to use the tool.

[NikosTziokas]

I have tried the tool. My question is: how does the tool computed the value of a given pixel x? It used the overlapping pixels, right?

[SteveLynch]

Yes, please have a look at https://pro.arcgis.com/en/pro-app/tool-reference/spatial-analyst/how-cell-statistics-works.htm