$max (aggregation)

Definition

• $max
• Returns the maximum value. $max compares both value andtype, using the specified BSON comparison order for values of different types.

$max is available in the following stages:

• $group
• $project
• $addFields (Available starting in MongoDB 3.4)
• $set (Available starting in MongoDB 4.2)
• $replaceRoot (Available starting in MongoDB 3.4)
• $replaceWith (Available starting in MongoDB 4.2)
• $match stage that includes an $expr expressionIn MongoDB 3.2 and earlier, $max is available in the$group stage only.

When used in the $group stage, $max has thefollowing syntax and returns the maximum value that resultsfrom applying an expression to each document in a group of documentsthat share the same group by key:

{ $max: <expression> }

When used in the other supported stages,$max returns the maximum of the specified expressionor list of expressions for each document and has one of two syntaxes:

• $max has one specified expression as its operand:

{ $max: <expression> }

• $max has a list of specified expressions as itsoperand:

{ $max: [ <expression1>, <expression2> ... ]  }

For more information on expressions, seeExpressions.

Behavior

Null or Missing Values

If some, but not all, documents for the $maxoperation have either a null value for the field or aremissing the field, the $max operator only considers thenon-null and the non-missing values for the field.

If all documents for the $max operation have nullvalue for the field or are missing the field, the $maxoperator returns null for the maximum value.

Array Operand

In the $group stage, if the expression resolves to anarray, $max does not traverse the array and compares the arrayas a whole.

In the other supported stages:

• With a single expression as its operand, if the expression resolvesto an array, $max traverses into the array to operate on thenumerical elements of the array to return a single value.
• With a list of expressions as its operand, if any of the expressionsresolves to an array, $max does not traverse into thearray but instead treats the array as a non-numerical value.

Examples

Use in $group Stage

Consider a sales collection with the following documents:

{ "_id" : 1, "item" : "abc", "price" : 10, "quantity" : 2, "date" : ISODate("2014-01-01T08:00:00Z") }
{ "_id" : 2, "item" : "jkl", "price" : 20, "quantity" : 1, "date" : ISODate("2014-02-03T09:00:00Z") }
{ "_id" : 3, "item" : "xyz", "price" : 5, "quantity" : 5, "date" : ISODate("2014-02-03T09:05:00Z") }
{ "_id" : 4, "item" : "abc", "price" : 10, "quantity" : 10, "date" : ISODate("2014-02-15T08:00:00Z") }
{ "_id" : 5, "item" : "xyz", "price" : 5, "quantity" : 10, "date" : ISODate("2014-02-15T09:05:00Z") }

Grouping the documents by the item field, the following operationuses the $max accumulator to compute the maximum total amount andmaximum quantity for each group of documents.

db.sales.aggregate(
   [
     {
       $group:
         {
           _id: "$item",
           maxTotalAmount: { $max: { $multiply: [ "$price", "$quantity" ] } },
           maxQuantity: { $max: "$quantity" }
         }
     }
   ]
)

The operation returns the following results:

{ "_id" : "xyz", "maxTotalAmount" : 50, "maxQuantity" : 10 }
{ "_id" : "jkl", "maxTotalAmount" : 20, "maxQuantity" : 1 }
{ "_id" : "abc", "maxTotalAmount" : 100, "maxQuantity" : 10 }

Use in $project Stage

A collection students contains the following documents:

{ "_id": 1, "quizzes": [ 10, 6, 7 ], "labs": [ 5, 8 ], "final": 80, "midterm": 75 }
{ "_id": 2, "quizzes": [ 9, 10 ], "labs": [ 8, 8 ], "final": 95, "midterm": 80 }
{ "_id": 3, "quizzes": [ 4, 5, 5 ], "labs": [ 6, 5 ], "final": 78, "midterm": 70 }

The following example uses the $max in the$project stage to calculate the maximum quiz scores, themaximum lab scores, and the maximum of the final and the midterm:

db.students.aggregate([
   { $project: { quizMax: { $max: "$quizzes"}, labMax: { $max: "$labs" }, examMax: { $max: [ "$final", "$midterm" ] } } }
])

The operation results in the following documents:

{ "_id" : 1, "quizMax" : 10, "labMax" : 8, "examMax" : 80 }
{ "_id" : 2, "quizMax" : 10, "labMax" : 8, "examMax" : 95 }
{ "_id" : 3, "quizMax" : 5, "labMax" : 6, "examMax" : 78 }

In the other supported stages:

• With a single expression as its operand, if the expression resolvesto an array, $max traverses into the array to operate on thenumerical elements of the array to return a single value.
• With a list of expressions as its operand, if any of the expressionsresolves to an array, $max does not traverse into thearray but instead treats the array as a non-numerical value.