aggregate - MySQL - make a weekly report that includes starting day (twist: week starting wednesday) -

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i have kind of table time based data:

| entity_id | ttime               | value | ------------------------------------------- |         1 | 2014-11-01 00:00:04 |   553 | |         1 |                 ... |   600 | |         2 |                 ... |   234 |

i want average of value grouped week , entity_id. starting day of week appear in results. additional complexity week starts on wednesday.

i can group year(ttime + interval 3 day), week(ttime + interval 3 day) possible print first day of group (wednesday) in results?

thanks

maybe this:

select   `entity_id`,    date_sub(ttime, interval weekday(ttime)-2 day),   sum(`value`)   `table`  group `entity_id`, yearweek(ttime + interval 4 day)

sqlfiddle


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