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I want to calculate the mean value of a specific region a raster data layer (being a GeoTIFF file), using the Zonal Statistics as Table tool in ArcMap.

However, some of the values are faulty and need to be excluded in the calculation.

How can I do this?

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If you can logically identify the values you want to exclude you can simply set them to 'NoData' using the Set Null toolset. If you're already using the Spatial Analyst extension to access Zonal Statistics you will have access to Set Null.

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