How to set the "Supports Statistics" to True

Question

Just Like the Title said, I want to set the value of option "Supports Statistics" become "true" in the ArcGIS REST services Directory, All Layers and Tables

Answer 1

From the ArcGIS Resource Center (http://resources.arcgis.com/en/help/arcgis-rest-api/index.html#//02r3000000zr000000):

supportsStatistics would return false in the following scenarios:

• The layer / table resides in a workspace other than an ArcSDE or File Geodatabase.
• The layer / table is a Query Layer - a layer / table that is defined by a SQL query, e.g. a layer from an enterprise database without ArcSDE (not a Geodatabase), a Geodatabase archived layer, etc.
• The layer / table has more than one join defined on it.
• The layer / table is joined with another layer / table from a different workspace.
• The layer / table has an "outer" join and where the workspace is a pre-10.1 Geodatabase and application server connection is used.

You didn't provide many details about your service, but I'd guess that your layer fits one of those five scenarios.