How to measure query time - with warm up and cached data

Hi all,
I need to know the actual execution time of a query, but considering that
the data is already cached. I also need to make sure that cached data from
other queries is cleared.
I believe that in order to know the real time of a query it will be
necessary to "warm up" the data to be inserted in cache.

Below are the steps suggested by a DBA for me:

Step 1- run ANALYZE on all tables involved before the test;
Step 2- restart the DBMS (to clear the DBMS cache);
Step 3- erase the S.O. cache;
Step 4- execute at least 5 times the same query.

After the actual execution time of the query, it would have to take the
time of the query that is in the "median" among all.

Example:

Execution 1: 07m 58s
Execution 2: 14m 51s
Execution 3: 17m 59s
Execution 4: 17m 55s
Execution 5: 17m 07s

In this case to calculate the median, you must first order each execution
by its time:
Execution 1: 07m 58s
Execution 2: 14m 51s
Execution 5: 17m 07s
Execution 4: 17m 55s
Execution 3: 17m 59s

In this example the median would be execution 5 (17m 07s). Could someone
tell me if this is a good strategy ?
Due to being a scientific work, if anyone has a reference of any article or
book on this subject, it would be very useful.

Best Regards
Neto