MySQL: Average interval between records

Question

Assume this table:

id    date
----------------
1     2010-12-12
2     2010-12-13
3     2010-12-18
4     2010-12-22
5     2010-12-23

How do I find the average intervals between these dates, using MySQL queries only?

For instance, the calculation on this table will be

  (
    ( 2010-12-13 - 2010-12-12 )
  + ( 2010-12-18 - 2010-12-13 )
  + ( 2010-12-22 - 2010-12-18 )
  + ( 2010-12-23 - 2010-12-22 )
  ) / 4
----------------------------------
= ( 1 DAY + 5 DAY + 4 DAY + 1 DAY ) / 4
= 2.75 DAY

Answer 1

Intuitively, what you are asking should be equivalent to the interval between the first and last dates, divided by the number of dates minus 1.

Let me explain more thoroughly. Imagine the dates are points on a line (+ are dates present, - are dates missing, the first date is the 12th, and I changed the last date to Dec 24th for illustration purposes):

++----+---+-+

Now, what you really want to do, is evenly space your dates out between these lines, and find how long it is between each of them:

+--+--+--+--+

To do that, you simply take the number of days between the last and first days, in this case 24 - 12 = 12, and divide it by the number of intervals you have to space out, in this case 4: 12 / 4 = 3.

With a MySQL query

SELECT DATEDIFF(MAX(dt), MIN(dt)) / (COUNT(dt) - 1) FROM a;

This works on this table (with your values it returns 2.75):

CREATE TABLE IF NOT EXISTS `a` (
  `dt` date NOT NULL
) ENGINE=MyISAM DEFAULT CHARSET=latin1;

INSERT INTO `a` (`dt`) VALUES
('2010-12-12'),
('2010-12-13'),
('2010-12-18'),
('2010-12-22'),
('2010-12-24');