Here is the handy query that I use to find out last statistics update date for objects. Key to find statistics update date is function STATS_DATE which takes two arguments – object_id (id of table/indexed view) and stats_id (id of statistics object)
SELECT object_name(object_id) table_name ,name index_name ,CASE WHEN (is_unique | is_unique_constraint) = 1 THEN 'UNIQUE-' + type_desc ELSE 'NON-UNIQUE-' + type_desc END type_desc ,stats_date(object_id, index_id) last_stats_update_date FROM sys.indexes ind WHERE EXISTS ( SELECT 1 FROM sys.objects WHERE type = 'U' AND object_id = ind.object_id );
Further Reading:
STATS_DATE