MEDIAN window function
Calculates the median value for the range of values in a window or partition. NULL values in the range are ignored.
MEDIAN is an inverse distribution function that assumes a continuous distribution model.
Syntax
MEDIAN ( median_expression ) OVER ( [ PARTITION BY partition_expression ] )
Arguments
 median_expression

An expression, such as a column name, that provides the values for which to determine the median. The expression must have either a numeric or datetime data type or be implicitly convertible to one.
 OVER

A clause that specifies the window partitioning. The OVER clause cannot contain a window ordering or window frame specification.
 PARTITION BY partition_expression

Optional. An expression that sets the range of records for each group in the OVER clause.
Data types
The return type is determined by the data type of median_expression. The following table shows the return type for each median_expression data type.
Input Type  Return Type 

INT2, INT4, INT8, NUMERIC, DECIMAL  DECIMAL 
FLOAT, DOUBLE  DOUBLE 
DATE  DATE 
Usage notes
If the median_expression argument is a DECIMAL data type defined with the maximum precision of 38 digits, it is possible that MEDIAN will return either an inaccurate result or an error. If the return value of the MEDIAN function exceeds 38 digits, the result is truncated to fit, which causes a loss of precision. If, during interpolation, an intermediate result exceeds the maximum precision, a numeric overflow occurs and the function returns an error. To avoid these conditions, we recommend either using a data type with lower precision or casting the median_expression argument to a lower precision.
For example, a SUM function with a DECIMAL argument returns a default precision of 38 digits. The scale of the result is the same as the scale of the argument. So, for example, a SUM of a DECIMAL(5,2) column returns a DECIMAL(38,2) data type.
The following example uses a SUM function in the median_expression argument of a MEDIAN function. The data type of the PRICEPAID column is DECIMAL (8,2), so the SUM function returns DECIMAL(38,2).
select salesid, sum(pricepaid), median(sum(pricepaid)) over() from sales where salesid < 10 group by salesid;
To avoid a potential loss of precision or an overflow error, cast the result to a DECIMAL data type with lower precision, as the following example shows.
select salesid, sum(pricepaid), median(sum(pricepaid)::decimal(30,2)) over() from sales where salesid < 10 group by salesid;
Examples
The following example calculates the median sales quantity for each seller:
select sellerid, qty, median(qty) over (partition by sellerid) from winsales order by sellerid; sellerid qty median  1 10 10.0 1 10 10.0 1 30 10.0 2 20 20.0 2 20 20.0 3 10 17.5 3 15 17.5 3 20 17.5 3 30 17.5 4 10 25.0 4 40 25.0
For a description of the WINSALES table, see Sample table for window function examples.