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Applies to: 
 SQL Server 
 Azure SQL Database 
 Azure SQL Managed Instance 
 Azure Synapse Analytics 
 Analytics Platform System (PDW) 
 SQL analytics endpoint in Microsoft Fabric 
 Warehouse in Microsoft Fabric
Returns the maximum value in the expression.
 Transact-SQL syntax conventions
Syntax
-- Aggregation Function Syntax  
MAX( [ ALL | DISTINCT ] expression )  
  
-- Analytic Function Syntax  
MAX ([ ALL ] expression) OVER ( <partition_by_clause> [ <order_by_clause> ] )  
Arguments
ALL
Applies the aggregate function to all values. ALL is the default.
DISTINCT
Specifies that each unique value is considered. DISTINCT is not meaningful with MAX and is available for ISO compatibility only.
expression
Is a constant, column name, or function, and any combination of arithmetic, bitwise, and string operators. MAX can be used with numeric, character, uniqueidentifier, and datetime columns, but not with bit columns. Aggregate functions and subqueries are not permitted.
For more information, see Expressions (Transact-SQL).
OVER ( partition_by_clause [  order_by_clause ] )
partition_by_clause divides the result set produced by the FROM clause into partitions to which the function is applied. If not specified, the function treats all rows of the query result set as a single group. order_by_clause determines the logical order in which the operation is performed. partition_by_clause is required. For more information, see OVER Clause (Transact-SQL).
Return Types
Returns a value same as expression.
Remarks
MAX ignores any null values.
MAX returns NULL when there is no row to select.
For character columns, MAX finds the highest value in the collating sequence.
MAX is a deterministic function when used without the OVER and ORDER BY clauses. It is nondeterministic when specified with the OVER and ORDER BY clauses. For more information, see Deterministic and Nondeterministic Functions.
Examples
A. Simple example
The following example returns the highest (maximum) tax rate in the AdventureWorks2022 database.
SELECT MAX(TaxRate)  
FROM Sales.SalesTaxRate;  
GO  
Here's the result set.
-------------------  
19.60  
Warning, null value eliminated from aggregate.  
 
(1 row(s) affected)  
B. Using the OVER clause
The following example uses the MIN, MAX, AVG, and COUNT functions with the OVER clause to provide aggregated values for each department in the HumanResources.Department table in the AdventureWorks2022 database.
SELECT DISTINCT Name  
       , MIN(Rate) OVER (PARTITION BY edh.DepartmentID) AS MinSalary  
       , MAX(Rate) OVER (PARTITION BY edh.DepartmentID) AS MaxSalary  
       , AVG(Rate) OVER (PARTITION BY edh.DepartmentID) AS AvgSalary  
       ,COUNT(edh.BusinessEntityID) OVER (PARTITION BY edh.DepartmentID) AS EmployeesPerDept  
FROM HumanResources.EmployeePayHistory AS eph  
JOIN HumanResources.EmployeeDepartmentHistory AS edh  
     ON eph.BusinessEntityID = edh.BusinessEntityID  
JOIN HumanResources.Department AS d  
 ON d.DepartmentID = edh.DepartmentID  
WHERE edh.EndDate IS NULL  
ORDER BY Name;  
Here's the result set.
Name                          MinSalary             MaxSalary             AvgSalary             EmployeesPerDept  
----------------------------- --------------------- --------------------- --------------------- ----------------  
Document Control              10.25                 17.7885               14.3884               5  
Engineering                   32.6923               63.4615               40.1442               6  
Executive                     39.06                 125.50                68.3034               4  
Facilities and Maintenance    9.25                  24.0385               13.0316               7  
Finance                       13.4615               43.2692               23.935                10  
Human Resources               13.9423               27.1394               18.0248               6  
Information Services          27.4038               50.4808               34.1586               10  
Marketing                     13.4615               37.50                 18.4318               11  
Production                    6.50                  84.1346               13.5537               195  
Production Control            8.62                  24.5192               16.7746               8  
Purchasing                    9.86                  30.00                 18.0202               14  
Quality Assurance             10.5769               28.8462               15.4647               6  
Research and Development      40.8654               50.4808               43.6731               4  
Sales                         23.0769               72.1154               29.9719               18  
Shipping and Receiving        9.00                  19.2308               10.8718               6  
Tool Design                   8.62                  29.8462               23.5054               6  
  
 (16 row(s) affected)  
C. Using MAX with character data
The following example returns the database name that sorts as the last name alphabetically. The example uses WHERE database_id < 5, to consider only the system databases.
SELECT MAX(name) FROM sys.databases WHERE database_id < 5;
The last system database is tempdb.
See Also
Aggregate Functions (Transact-SQL)
OVER Clause (Transact-SQL)