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For certain rasters, why are the majority, median, minority, and variety statistics not available in the Zonal Statistic tool?
If the input value raster is a floating point raster, the zonal calculations for majority, median, minority, and variety are not computed.
To see if the raster dataset is a floating point or integer raster, check its properties in ArcCatalog/ArcMap as follows:
1) Right-click the raster dataset and click Properties.
2) Look under Raster information > Pixel type.