I am trying to calculate the average of a few rows with a datetime data type (standard datetime format).
How can I do that?
Convert the datetime to a float.  The SQL standard defines that as the number of days since 1900, so it should be fairly portable.  For example:
declare @t table (dt datetime)
insert @t select '1950-01-01'
union all select '1960-01-01'
select cast(avg(cast(dt as float)) as datetime) from @t
This result is1955-01-01.  Example at SE Data.
This is how to get the average of a DateTime column in MySql:
create temporary table table_1 (
    aDate DateTime
);
insert into table_1 values
    ('2000-01-01 00:00:00'),
    ('2010-01-01 00:00:00');
select CAST(avg(aDate) as DateTime) from table_1;
-- Result: "2005-01-01 00:00:00"
                        In PostgreSQL you could:
SELECT to_timestamp(avg(EXTRACT(EPOCH FROM my_timestamp)))
  FROM my_tbl;
More info in the fine manual here.
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