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I have a LIDAR data .laz file of a DEM and a cell grid vector file. I want to compute grid cell statistics, like mean and variance using the LiDAR data. How can I do this in QGIS?

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With QGIS 3.32 (see the changelog) you have some native algorithm in the Processing Toolbox (Ctrl+Alt+T), there you can export the point cloud into a raster format, DEM for example and make statistics with the raster data

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