Simple query can help you get basic insights on when the index statistics where updated:

SELECT
		o.name AS TableName,
		i.name AS IndexName,
		STATS_DATE(i.object_id, i.index_id) AS StatisticsUpdate
	FROM sys.objects o
		INNER JOIN sys.indexes i ON (o.object_id = i.object_id)
	WHERE
		(i.type > 0)
		AND (o.type_desc NOT IN ('INTERNAL_TABLE', 'SYSTEM_TABLE'))
	ORDER BY TableName, IndexName
	-- ORDER BY StatisticsUpdate

See also:

• STATS_DATE()
• sys.dm_db_stats_properties()