Some relational database management systems (RDBMSs) have a PERCENTILE_CONT()
function that calculates a percentile based on a continuous distribution across a range of column values.
We specify the percentile to use when we call the function.
Depending on the RDBMS, PERCENTILE_CONT()
can be used as a window function or an aggregate function, or as both.
Example
In this example, PERCENTILE_CONT()
is being used as a window function:
SELECT
VendorId,
ProductName,
ProductPrice,
PERCENTILE_CONT( 0.5 )
WITHIN GROUP (
ORDER BY ProductPrice
)
OVER (
PARTITION BY VendorId
) AS "PERCENTILE_CONT"
FROM Products;
Result:
VendorId ProductName ProductPrice PERCENTILE_CONT -------- ------------------------------- ------------ ------------------ 1001 Long Weight (green) 11.99 20.369999999999997 1001 Long Weight (blue) 14.75 20.369999999999997 1001 Left handed screwdriver 25.99 20.369999999999997 1001 Right handed screwdriver 25.99 20.369999999999997 1002 Sledge Hammer 33.49 33.49 1003 Hammock 10 55.99 1003 Straw Dog Box 55.99 55.99 1003 Chainsaw 245 55.99 1004 Bottomless Coffee Mugs (4 Pack) 9.99 11.219999999999999 1004 Tea Pot 12.45 11.219999999999999
I ran that example in Azure SQL Edge, which uses the SQL Server database engine.
In this example, I used an argument of 0.5
in order to calculate the median price of all products from each vendor. I used the WITHIN GROUP
clause to sort the set by product price, and I used the OVER
clause with a PARTITION BY
clause to partition the results by vendor.
By including the OVER
clause, we’re using PERCENTILE_CONT()
as a window function. We could omit the OVER
clause to turn it into an aggregate function, but as mentioned, this will depend on your RDBMS. Some DBMSs might not allow you to omit the OVER
clause, while others won’t even accept it and will only allow you to use PERCENTILE_CONT()
as an aggregate function.
The PERCENTILE_CONT()
function doesn’t necessarily return a value from the actual data set. We can see an example of this with the first vendor. Here, the PERCENTILE_CONT
column contains 20.369999999999997
, but that value isn’t actually in the data set. It’s the same with the last vendor. We get 11.219999999999999
, but that value isn’t in the underlying data.
Most (if not all) SQL databases that provide a PERCENTILE_CONT()
function also provide a PERCENTILE_DISC()
function that works in a similar way to PERCENTILE_CONT()
, except that it always returns an actual value from the data set.
Changing the Percentile
Here’s an example that uses a different percentile:
SELECT
VendorId,
ProductName,
ProductPrice,
PERCENTILE_CONT( 0.8 )
WITHIN GROUP (
ORDER BY ProductPrice
)
OVER (
PARTITION BY VendorId
) AS "PERCENTILE_CONT"
FROM Products;
Result:
VendorId ProductName ProductPrice PERCENTILE_CONT -------- ------------------------------- ------------ ------------------ 1001 Long Weight (green) 11.99 25.99 1001 Long Weight (blue) 14.75 25.99 1001 Left handed screwdriver 25.99 25.99 1001 Right handed screwdriver 25.99 25.99 1002 Sledge Hammer 33.49 33.49 1003 Hammock 10 169.39600000000002 1003 Straw Dog Box 55.99 169.39600000000002 1003 Chainsaw 245 169.39600000000002 1004 Bottomless Coffee Mugs (4 Pack) 9.99 11.958 1004 Tea Pot 12.45 11.958
Here, I used a percentile of 0.8
instead of 0.5
. This changed the output for vendor 1003 quite significantly, but not so much for the others.
Omitting the OVER
Clause
Omitting the OVER
clause when using PERCENTILE_CONT()
may result in an error. It all depends on your RDBMS. Some RDBMSs allow us to omit the OVER
clause, while others don’t. Other RDBMSs don’t even allow us to use an OVER
clause.
Here’s what happens if we remove the OVER
clause in SQL Server:
SELECT
VendorId,
ProductName,
ProductPrice,
PERCENTILE_CONT( 0.8 )
WITHIN GROUP (
ORDER BY ProductPrice
) AS "PERCENTILE_CONT"
FROM Products;
Result:
Msg 10753, Level 15, State 3, Line 5 The function 'PERCENTILE_CONT' must have an OVER clause.
And here’s the error message that MariaDB returns:
ERROR 1064 (42000) at line 30: You have an error in your SQL syntax; check the manual that corresponds to your MariaDB server version for the right syntax to use near 'AS "PERCENTILE_CONT" FROM Products' at line 8
However, other RDBMSs allow us to remove the OVER
clause, so that we can run the function as an aggregate function.
About the ORDER BY
Clause
Typically, when using PERCENTILE_CONT()
as a window function, we put the ORDER BY
sub-clause in the WITHIN GROUP
clause instead of the OVER
clause. You may get an error if you try to put the ORDER BY
sub-clause in the OVER
clause.
Here’s what happens if we put an ORDER BY
clause in the OVER
clause in SQL Server:
SELECT
VendorId,
ProductName,
ProductPrice,
PERCENTILE_CONT( 0.8 )
WITHIN GROUP (
ORDER BY ProductPrice
)
OVER (
PARTITION BY VendorId
ORDER BY ProductPrice
) AS "PERCENTILE_CONT"
FROM Products;
Result:
Msg 10758, Level 15, State 1, Line 5 The function 'PERCENTILE_CONT' may not have ORDER BY in OVER clause.
You may also find that only one ORDER BY
expression is allowed.
Here’s what happens when we provide more than one ORDER BY
expression in SQL Server:
SELECT
VendorId,
ProductName,
ProductPrice,
PERCENTILE_CONT( 0.5 )
WITHIN GROUP (
ORDER BY ProductPrice, ProductName
)
OVER (
PARTITION BY VendorId
) AS "PERCENTILE_CONT"
FROM Products;
Result:
Msg 10751, Level 15, State 1, Line 5 The ORDER BY in WITHIN GROUP clause of 'PERCENTILE_CONT' function must have exactly one expression.
The error tells us that the function must only have one expression.
No Window Frame Allowed
You may also find that window frames are not allowed when using the PERCENTILE_CONT()
function.
Here’s what happens when we try to specify a window frame in SQL Server:
SELECT
VendorId,
ProductName,
ProductPrice,
PERCENTILE_CONT( 0.8 )
WITHIN GROUP (
ORDER BY ProductPrice
)
OVER (
PARTITION BY VendorId
RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING
) AS "PERCENTILE_CONT"
FROM Products;
Result:
Msg 10752, Level 15, State 1, Line 5 The function 'PERCENTILE_CONT' may not have a window frame.
And here’s what MariaDB returns:
ERROR 1064 (42000) at line 30: You have an error in your SQL syntax; check the manual that corresponds to your MariaDB server version for the right syntax to use near 'RANGE BETWEEN UNBOUNDED PRECEDING AND UNBOUNDED FOLLOWING ) AS "PERCE...' at line 11
In SQL, window frames are typically specified with a line that starts with ROWS
or RANGE
. They specify the window for which the window function should operate on.