With the help of Below Query you are able to find the details about Statistics of a database in SQL Server, It also provides the last Statistics updated dates and time of an object.
select si.id as 'ObjectID', isnull(si.name,'Heap') as 'IndexName', so.name as 'TableName', stats_date (id,indid) as stats_last_updated_Date from sys.sysindexes as si inner join sys.objects as so on si.id = so.object_id where so.type = 'U'
Output:-