Loose index scan in MySQL can really help optimizing “group by” queries in some cases (for example, if you have only min() and/or max() as your aggregate functions). For example, if you have this query (to find maximum delay for all US flights with departure on Sundays in 2010):

select max(DepDelayMinutes),       carrier, dayofweek 
from ontime_2010 
where dayofweek = 7 
group by Carrier,  dayofweek

the usual case will be adding a covered index on (dayofweek, Carrier, DepDelayMinutes). And MySQL will use this index fine (using index mean it will use the covered index):

mysql> explain select max(DepDelayMinutes), Carrier, dayofweek from ontime_2010 
where dayofweek =7 group by Carrier, dayofweek\G
*************************** 1. row ***************************
           id: 1
  select_type: SIMPLE
        table: ontime_2010
         type: ref
possible_keys: covered
          key: covered
      key_len: 2
          ref: const …