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Difference between revisions of "AGGREGATE Tutorial"

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Line 4: Line 4:
 
You may find these [[AGGREGATE examples]] useful.
 
You may find these [[AGGREGATE examples]] useful.
 
<div class='extra_space' style='width:1em; height:6em;'></div>
 
<div class='extra_space' style='width:1em; height:6em;'></div>
 +
==$group on continent==
 +
<div class="q" data-lang="mongo">
 +
The aggregate method allows a <code>$group</code> - you must specify the <code>_id</code> and you can use aggregating functions such as <code>$sum</code> <code>$min</code> <code>$max</code> <code>$push</code>
 +
 +
The sample code shows the total population of each continent.
 +
<div class='imper'>Show the number of countries in each continent.</div>
 +
<pre class="def"><nowiki>
 +
db.world.aggregate({
 +
  $group: {
 +
    _id: '$continent',
 +
    res: {
 +
      $sum: '$population'
 +
    }
 +
  }
 +
});</nowiki></pre>
 +
<pre class="ans"><nowiki>db.world.aggregate({
 +
  $group: {
 +
    _id: '$continent',
 +
    res: {
 +
      $sum: 1
 +
    }
 +
  }
 +
});
 +
</nowiki></pre>
 +
</div>
 +
 
==Per Capita GDP==
 
==Per Capita GDP==
<div class=q data-lang="mongo">
+
<div class="q" data-lang="mongo">
 
Give the <code>name</code> and the <code>per capita GDP</code> for those countries with a <code>population</code> of at least 200 million.
 
Give the <code>name</code> and the <code>per capita GDP</code> for those countries with a <code>population</code> of at least 200 million.
 
<div class="hint" title="How to calculate per capita GDP">
 
<div class="hint" title="How to calculate per capita GDP">
 
per capita GDP is the GDP divided by the population.
 
per capita GDP is the GDP divided by the population.
 
</div>
 
</div>
<pre class=def>
+
<pre class="def"><nowiki>
 
db.world.aggregate([
 
db.world.aggregate([
     {$match:{
+
     {$match: {
         population:{$gte:250000000}
+
         population: {$gte: 250000000}
 
     }},
 
     }},
     {$project:{
+
     {$project: {
         _id:0,
+
         _id: 0,
         name:1,
+
         name: 1,
         "per capita GDP": {$divide: ['$gdp',1000000]}
+
         "per capita GDP": {$divide: ['$gdp', 1000000]}
 
     }}
 
     }}
])
+
]);</nowiki></pre>
</pre>
+
<pre class="ans"><nowiki>db.world.aggregate([{"$match":{"population":{"$gte":200000000}}},{"$project":{"_id":0,"name":1,"per capita GDP": {"$divide": ["$gdp","$population"]}}}]);</nowiki></pre>
<div class=ans>db.world.aggregate([{"$match":{"population":{"$gte":200000000}}},{"$project":{"_id":0,"name":1,"per capita GDP": {"$divide": ["$gdp","$population"]}}}])
 
</div>
 
 
</div>
 
</div>
 +
 
==Population Density in South America==
 
==Population Density in South America==
<div class=q data-lang="mongo">
+
<div class="q" data-lang="mongo">
 
Give the <code>name</code> and the <code>population density</code> of all countries in South America.
 
Give the <code>name</code> and the <code>population density</code> of all countries in South America.
 
<div class="hint" title="How to calculate population density">
 
<div class="hint" title="How to calculate population density">
Line 34: Line 59:
 
Use a <code>$match</code>. <code>{"area":{"$ne":0}}</code>
 
Use a <code>$match</code>. <code>{"area":{"$ne":0}}</code>
 
</div>
 
</div>
<pre class=def>
+
<pre class="def"><nowiki>
db.world.aggregate([
 
    {$match:{continent:'Asia'}},
 
    {$project:{
 
        _id:0,
 
        name:1,
 
        density: {$divide: ["$population","$area"]}
 
    }},
 
])
 
</pre>
 
<div class=ans>
 
 
db.world.aggregate([
 
db.world.aggregate([
     {$match:{continent:'South America'}},
+
     {$match: {continent: 'Asia'}},
     {$project:{
+
     {$project: {
         _id:0,
+
         _id: 0,
         name:1,
+
         name: 1,
         density: {$divide: ["$population","$area"]}
+
         density: {$divide: ["$population", "$area"]}
 
     }}
 
     }}
])
+
]);</nowiki></pre>
 +
<pre class="ans"><nowiki>db.world.aggregate([{$match:{continent:'South America'}},{$project:{_id:0,name:1,density:{$divide:["$population","$area"]}}}]);</nowiki></pre>
 
</div>
 
</div>
</div>
 
 
 
==Population Density for "V"==
 
==Population Density for "V"==
<div class=q data-lang="mongo">
+
<div class="q" data-lang="mongo">
 
Give the <code>name</code> and the <code>population density</code> of all countries with name after V in the alphabet.
 
Give the <code>name</code> and the <code>population density</code> of all countries with name after V in the alphabet.
 
<p>Note that because Vatican City (with area 0) is in Europe you will get a divide by zero error unless you filter first.
 
<p>Note that because Vatican City (with area 0) is in Europe you will get a divide by zero error unless you filter first.
Line 73: Line 87:
 
</pre>
 
</pre>
 
</div>
 
</div>
<pre class=def>
+
<pre class="def"><nowiki>
 
db.world.aggregate([
 
db.world.aggregate([
     {$match:{name:{$gt:'V'}}},
+
     {$match: {name: {$gt: 'V'}}},
     {$project:{
+
     {$project: {
         _id:0,
+
         _id: 0,
         name:1,
+
         name: 1,
         area:1
+
         area: 1
    }},
 
])
 
</pre>
 
<div class=ans>
 
db.world.aggregate([
 
    {$match:{name:{$gt:'V'}}},
 
    {$match:{area:{"$ne":0}}},
 
    {$project:{
 
        _id:0,
 
        name:1,
 
        density: {$divide: ["$population","$area"]}
 
 
     }}
 
     }}
])
+
]);</nowiki></pre>
</div>
+
<pre class="ans"><nowiki>db.world.aggregate([{$match:{name:{$gt:'V'}}},{$match:{area:{"$ne":0}}},{$project:{_id:0,name:1,density:{$divide:["$population","$area"]}}}]);</nowiki></pre>
 
</div>
 
</div>
 
 
==Population in millions==
 
==Population in millions==
<div class=q data-lang="mongo">
+
<div class="q" data-lang="mongo">
 
Show the <code>name</code> and <code>population</code> in millions for the countries of the continent <b>South America</b>. Divide the population by 1000000 to get population in millions.  
 
Show the <code>name</code> and <code>population</code> in millions for the countries of the continent <b>South America</b>. Divide the population by 1000000 to get population in millions.  
<pre class=def>
+
<pre class="def"><nowiki>
 
db.world.aggregate([
 
db.world.aggregate([
 
     {$match:{
 
     {$match:{
       
+
 
 
     }},
 
     }},
 
     {$project:{
 
     {$project:{
         _id:0,
+
         _id: 0,
         name:1
+
         name: 1
 
     }}
 
     }}
])
+
]);</nowiki></pre>
</pre>
+
<pre class="ans"><nowiki>db.world.aggregate([{"$match":{"continent":{"$eq":"South America"}}},{"$project":{"_id":0,"name":1,"population":{"$divide":["$population",1000000]}}}]);</nowiki></pre>
<div class=ans>
 
db.world.aggregate([{"$match":{"continent":{"$eq":"South America"}}},{"$project":{"_id":0,"name":1,"population":{"$divide":["$population",1000000]}}}])
 
</div>
 
 
</div>
 
</div>
  
 
==Population density==
 
==Population density==
<div class=q data-lang="mongo">
+
<div class="q" data-lang="mongo">
 
Show the <code>name</code> and <code>population density</code> for <b>France</b>, <b>Germany</b>, and <b>Italy</b>
 
Show the <code>name</code> and <code>population density</code> for <b>France</b>, <b>Germany</b>, and <b>Italy</b>
<pre class=def>
+
<pre class="def"><nowiki>
 
db.world.aggregate([
 
db.world.aggregate([
 
     {$match:{
 
     {$match:{
         name: {$in:['United Kingdom','United States','Brazil']},
+
         name: {$in: ['United Kingdom', 'United States', 'Brazil']},
 
         population: {$ne: null},
 
         population: {$ne: null},
 
         area: {$ne: 0}
 
         area: {$ne: 0}
 
     }},
 
     }},
 
     {$project:{
 
     {$project:{
         _id:0,
+
         _id: 0,
         name:1
+
         name: 1
 
     }}
 
     }}
])
+
]);</nowiki></pre>
</pre>
+
<pre class="ans"><nowiki>db.world.aggregate([{"$match":{"name":{"$in":['France','Germany','Italy']},"population":{"$ne":null},"area":{"$ne":0}}},{"$project":{"_id":0,"name":1,"population density":{"$divide":["$population","$area"]}}}]);</nowiki></pre>
<div class=ans>
 
db.world.aggregate([{"$match":{"name":{"$in":['France','Germany','Italy']},"population":{"$ne":null},"area":{"$ne":0}}},{"$project":{"_id":0,"name":1,"population density":{"$divide":["$population","$area"]}}}])
 
 
</div>
 
</div>
</div>
 
 
 
==Continents by area==
 
==Continents by area==
<div class=q data-lang="mongo">
+
<div class="q" data-lang="mongo">
 
Order the <code>continents</code> by <code>area</code> from most to least.
 
Order the <code>continents</code> by <code>area</code> from most to least.
<pre class=def>
+
<pre class="def"><nowiki>
 
db.world.aggregate([
 
db.world.aggregate([
     {$group:{
+
     {$group: {
         _id:"$name",
+
         _id: "$name",
         area:{$max: "$area"}
+
         area: {$max: "$area"}
 
     }},
 
     }},
     {$sort:{
+
     {$sort: {
 
         area: -1
 
         area: -1
 
     }},
 
     }},
     {$project:{
+
     {$project: {
         _id:1,
+
         _id: 1,
         area:1
+
         area: 1
 
     }}
 
     }}
])
+
]);</nowiki></pre>
</pre>
+
<pre class="ans"><nowiki>db.world.aggregate([{"$group":{"_id":"$continent","area":{"$sum":"$area"}}},{"$sort":{"area":-1}},{"$project":{"_id":1,"area":1}}]);</nowiki></pre>
<div class=ans>
 
    db.world.aggregate([
 
        {"$group":{
 
            "_id":"$continent",
 
            "area":{"$sum": "$area"}
 
        }},
 
        {"$sort":{
 
            "area": -1
 
        }},
 
        {"$project":{
 
            "_id":1,
 
            "area":1
 
        }}
 
    ])
 
</div>
 
 
</div>
 
</div>
  
 
==Big Continents==
 
==Big Continents==
<div class=q data-lang="mongo">
+
<div class="q" data-lang="mongo">
 
Show the only two continents with total area greater than 25000000 and then sort from largest to smallest.
 
Show the only two continents with total area greater than 25000000 and then sort from largest to smallest.
<pre class=def>
+
<pre class="def"><nowiki>
 
db.world.aggregate([
 
db.world.aggregate([
   {$match:{
+
   {$match: {
       continent:"North America"
+
       continent: "North America"
 
   }},
 
   }},
   {$project:{
+
   {$project: {
       _id:0,
+
       _id: 0,
       name:1
+
       name: 1
 
   }}
 
   }}
])
+
]);</nowiki></pre>
</pre>
+
<pre class="ans"><nowiki>db.world.aggregate([{$group:{_id:"$continent",area:{$sum:"$area"}}},{$sort:{area:-1}},{$match:{area:{$gt:25000000}}}]);</nowiki></pre>
<div class=ans>
 
db.world.aggregate([
 
    {$group:{
 
        _id:"$continent",
 
        area:{$sum: "$area"}
 
    }},
 
    {$sort:{
 
        area: -1
 
    }},
 
    {$match:{
 
        area:{$gt:25000000}
 
    }}
 
])
 
 
</div>
 
</div>
</div>
 
 
 
==First and last country by continent==
 
==First and last country by continent==
<div class=q data-lang="mongo">
+
<div class="q" data-lang="mongo">
 
For each continent show the first and last country alphabetically like this:
 
For each continent show the first and last country alphabetically like this:
 +
<syntaxhighlight lang="JavaScript>
 
  { "_id" : "Africa", "from" : "Algeria", "to" : "Zimbabwe" }
 
  { "_id" : "Africa", "from" : "Algeria", "to" : "Zimbabwe" }
 
  { "_id" : "Asia", "from" : "Afghanistan", "to" : "Yemen" }
 
  { "_id" : "Asia", "from" : "Afghanistan", "to" : "Yemen" }
Line 212: Line 178:
 
  { "_id" : "Oceania", "from" : "Australia", "to" : "Vanuatu" }
 
  { "_id" : "Oceania", "from" : "Australia", "to" : "Vanuatu" }
 
  { "_id" : "South America", "from" : "Argentina", "to" : "Venezuela" }
 
  { "_id" : "South America", "from" : "Argentina", "to" : "Venezuela" }
<pre class=def>
+
</syntaxhighlight>
 +
<pre class="def"><nowiki>
 
db.world.aggregate([
 
db.world.aggregate([
   {$group:{
+
   {$group: {
       _id:"$continent"
+
       _id: "$continent"
 
   }},
 
   }},
   {$sort:{
+
   {$sort: {
       _id:1
+
       _id: 1
 
   }}
 
   }}
])
+
]);</nowiki></pre>
</pre>
+
<pre class="ans"><nowiki>db.world.aggregate([{$sort:{name:1}},{$group:{_id:'$continent',from:{$first:'$name'},to:{$last:'$name'}},},{$sort:{_id:1}}])</nowiki></pre>
<div class=ans>
 
db.world.aggregate([
 
    {$sort:{name:1}},
 
    {$group:{
 
      _id:'$continent',
 
      from:{$first:'$name'},
 
      to:{$last:'$name'}
 
      },
 
    },
 
    {$sort:{_id:1}}
 
])
 
</div>
 
 
</div>
 
</div>
  
 
==Countries beginning with...==
 
==Countries beginning with...==
<div class=q data-lang="mongo">
+
<div class="q" data-lang="mongo">
 
Group countries according to the first letter of the name. As shown.
 
Group countries according to the first letter of the name. As shown.
 
Only give "U" through to "Z".
 
Only give "U" through to "Z".
  
 
You will need to use the '''$substr''' function and the '''$push''' aggregate function.
 
You will need to use the '''$substr''' function and the '''$push''' aggregate function.
 +
<syntaxhighlight lang="JavaScript">
 
  { "_id" : "U", "list" : [ "Uganda", "Ukraine", "United Arab Emirates", "United Kingdom", "United States", "Uruguay", "Uzbekistan" ] }
 
  { "_id" : "U", "list" : [ "Uganda", "Ukraine", "United Arab Emirates", "United Kingdom", "United States", "Uruguay", "Uzbekistan" ] }
 
  { "_id" : "V", "list" : [ "Vanuatu", "Vatican City", "Venezuela", "Vietnam" ] }
 
  { "_id" : "V", "list" : [ "Vanuatu", "Vatican City", "Venezuela", "Vietnam" ] }
 
  { "_id" : "Y", "list" : [ "Yemen" ] }
 
  { "_id" : "Y", "list" : [ "Yemen" ] }
 
  { "_id" : "Z", "list" : [ "Zambia", "Zimbabwe" ] }
 
  { "_id" : "Z", "list" : [ "Zambia", "Zimbabwe" ] }
<pre class=def>
+
</syntaxhighlight>
 +
<pre class="def"><nowiki>
 
db.world.aggregate([
 
db.world.aggregate([
    {$project:{_id:'$name',
+
  {$project: {
    startsWith:{$substr:['$name',0,1]}}},
+
    _id: '$name',
    {$match:{_id:{$gte:'U'}}},
+
    startsWith: {$substr: ['$name', 0, 1]}
    {$sort:{_id:1}}
+
  }},
])
+
  {$match: {
</pre>
+
    _id: {$gte: 'U'}
<div class=ans>
+
  }},
db.world.aggregate([
+
  {$sort: {_id: 1}}
    {$group:{
+
]);</nowiki></pre>
        _id:{ $substr:['$name',0,1] },
+
<pre class="ans"><nowiki>db.world.aggregate([{$group:{_id:{$substr:['$name',0,1]},list:{$push:'$name'}}},{$match:{_id:{$gte:'U'}}},{$sort:{_id:1}}]);</nowiki></pre>
        list:{$push:'$name'}
 
    }},
 
    {$match:{_id:{$gte:'U'}}},
 
    {$sort:{_id:1}}
 
])
 
</div>
 
 
</div>
 
</div>
  
 
==Harder Questions==
 
==Harder Questions==
 
 
==Messing with continent names==
 
==Messing with continent names==
<div class=q data-lang="mongo">
+
<div class="q" data-lang="mongo">
 
Combine <b>North America</b> and <b>South America</b> to <b>America</b>, and then list the continents by area. Biggest first.
 
Combine <b>North America</b> and <b>South America</b> to <b>America</b>, and then list the continents by area. Biggest first.
<pre class=def>
+
<pre class="def"><nowiki>
 
db.world.aggregate([
 
db.world.aggregate([
    {$group:{
+
  {$group: {
        _id:{
+
    _id: {
            $cond: [{$eq:["$continent","North America"]},"America",
+
      $cond: [
                {$cond: [{$eq:["$continent","Asia"]},"The East","$continent"]}]
+
        {$eq: ["$continent", "North America"]},
        },
+
        "America",
        area:{$sum: "$area"}
+
        {$cond: [
    }},
+
          {$eq: ["$continent", "Asia"]},
    {$sort:{
+
          "The East",
        area: -1
+
          "$continent"
    }},
+
        ]}
    {$project:{
+
      ]
        _id:1,
+
    },
        area:1
+
    area: {$sum: "$area"}
    }}
+
  }},
])
+
  {$sort: {area: -1}},
</pre>
+
  {$project: {
<div class=ans>
+
    _id: 1,
db.world.aggregate([{"$group":{"_id":{"$cond":[{"$eq":["$continent","South America"]},"America",{"$cond":[{"$eq":["$continent","North America"]},"America","$continent"]}]},"area":{"$sum":"$area"}}},{"$sort":{"area":-1}},{"$project":{"_id":1,"area":1}}])  
+
    area: 1
</div>
+
  }}
 +
]);</nowiki></pre>
 +
<pre class="ans"><nowiki>db.world.aggregate([{"$group":{"_id":{"$cond":[{"$eq":["$continent","South America"]},"America",{"$cond":[{"$eq":["$continent","North America"]},"America","$continent"]}]},"area":{"$sum":"$area"}}},{"$sort":{"area":-1}},{"$project":{"_id":1,"area":1}}]); </nowiki></pre>
 
</div>
 
</div>
  
==Messing with continent names 2==
+
==Country populations by order of magnitude==
<div class=q data-lang="mongo">
+
<div class="q" data-lang="mongo">
Show the <b>name</b> and the <b>continent</b> for countries beginning with N - but replace the continent <b>Oceania</b> with <b>Australasia</b>.
+
Show the number of countries in each order.
<pre class=def>
+
 
db.world.aggregate([
+
For example UK has a population of 64,105,700 so it belongs in the 10,000,000 bucket.
    {$match:{
+
 
        name:{$regex:"^N"}
+
You will need the functions $floor, $log10 and $pow
    }},
 
    {$project:{
 
        _id:0,
 
        name:1
 
    }}
 
])
 
</pre>
 
<div class=ans>
 
db.world.aggregate([{"$match":{"name":{"$regex":"^N"}}},{"$project":{"_id":0,"name":1,"continent":{"$cond":[{"$eq":["$continent","Oceania"]},"Australasia","$continent"]}}}])
 
</div>
 
</div>
 
  
==Messing with continent names 3==
+
<pre class="def"><nowiki>
<div class=q data-lang="mongo">
 
Show the <b>name</b> and the <b>continent</b> but:<br/><br/>
 
&nbsp;&nbsp;&nbsp;&nbsp;substitute <b>Eurasia</b> for <b>Europe</b> and <b>Asia</b>.<br/>
 
&nbsp;&nbsp;&nbsp;&nbsp;substitute <b>America</b> - for each country in <b>North America</b> or <b>South America</b> or <b>Caribbean</b>.<br/><br/>Only show countries beginning with <b>A</b> or <b>B</b><br/>
 
If you're struggling you may want to experiment with <code>$and</code>,<code>$or</code>, etc.
 
<pre class=def></pre>
 
<div class=ans>
 
 
db.world.aggregate([
 
db.world.aggregate([
     {$match:{
+
     {$match: {
         name:{$regex:"^A|^B"}
+
         name: {$regex: "^N"}
 
     }},
 
     }},
     {$project:{
+
     {$project: {
         _id:0,
+
         _id: 0,
         name:1,
+
         name: 1
        continent: {
 
            $cond: [{
 
                $or:[
 
                    {$eq:["$continent","Europe"]},
 
                    {$eq:["$continent","Asia"]}
 
                ]},"Eurasia",{
 
                    $cond: [
 
                        {$or:[
 
                            {$eq:["$continent","North America"]},
 
                            {$eq:["$continent","South America"]},
 
                            {$eq:["$continent","Caribbean"]}
 
                        ]},"America","$continent"]}
 
            ]}
 
 
     }}
 
     }}
])
+
]);</nowiki></pre>
</div>
+
<pre class="ans"><nowiki>db.world.aggregate([
</div>
+
    {$project: {name:1,l10:{$pow:[10,{$floor:{$log10:"$population"}}]}}},
 
+
    {$group:{_id:"$l10",c:{$sum:1}}},
==Messing with continent names 4==
+
    {$sort:{_id:1}}
<div class=q data-lang="mongo">
+
]);
Put the continents right...
+
</nowiki></pre>
<br/><br/>
 
&nbsp;&nbsp;&nbsp;&nbsp;<b>Oceania</b> becomes <b>Australasia</b><br/>
 
&nbsp;&nbsp;&nbsp;&nbsp;Countries in <b>Eurasia</b> and <b>Turkey</b> go to <b>Europe/Asia</b><br/>
 
&nbsp;&nbsp;&nbsp;&nbsp;<b>Caribbean</b> islands starting with '<b>B</b>' go to <b>North America</b>, other Caribbean islands go to <b>South America</b><br/>
 
<br/><br/>
 
<b>Show the name, the original continent and the new continent of all countries.</b>
 
<pre class=def></pre>
 
<div class=ans>
 
    db.world.aggregate([
 
        {"$project":{
 
            "_id":0,
 
            "name":1,
 
            "original": "$continent",
 
            "new": {
 
                "$cond": [
 
                    {"$or":[
 
                        {"$eq":["$continent","Eurasia"]},
 
                        {"$eq":["$name","Turkey"]}
 
                    ]},"Europe/Asia",{
 
                        "$cond":[
 
                            {"$eq":["$continent","Oceania"]},"Australasia",{
 
                                "$cond":[
 
                                    {"$and":[
 
                                        {"$eq":["$continent","Caribbean"]},
 
                                        {"$eq":[{"$substr":["$name",0,1]}, "B"]}
 
                                    ]},"North America",{
 
                                        "$cond":[
 
                                            {"$and":[
 
                                                {"$eq":["$continent","Caribbean"]},
 
                                                {"$ne":[{"$substr":["$name",0,1]}, "B"]}
 
                                            ]},"South America","$continent"
 
                                        ]
 
                                    }
 
                                ]
 
                            }
 
                        ]
 
                  }
 
                ]
 
            }
 
        }}
 
    ])
 
</div>
 
 
</div>
 
</div>

Latest revision as of 22:53, 31 March 2021

Country Profile

For these questions you should use aggregate([]) on the collection world

You may find these AGGREGATE examples useful.

$group on continent

The aggregate method allows a $group - you must specify the _id and you can use aggregating functions such as $sum $min $max $push

The sample code shows the total population of each continent.

Show the number of countries in each continent.
db.world.aggregate({
  $group: {
    _id: '$continent',
    res: {
      $sum: '$population'
    }
  }
});
db.world.aggregate({
  $group: {
    _id: '$continent',
    res: {
      $sum: 1
    }
  }
});

Per Capita GDP

Give the name and the per capita GDP for those countries with a population of at least 200 million.

per capita GDP is the GDP divided by the population.

db.world.aggregate([
    {$match: {
        population: {$gte: 250000000}
    }},
    {$project: {
        _id: 0,
        name: 1,
        "per capita GDP": {$divide: ['$gdp', 1000000]}
    }}
]);
db.world.aggregate([{"$match":{"population":{"$gte":200000000}}},{"$project":{"_id":0,"name":1,"per capita GDP": {"$divide": ["$gdp","$population"]}}}]);

Population Density in South America

Give the name and the population density of all countries in South America.

population density is the population divided by the area

Use a $match. {"area":{"$ne":0}}

db.world.aggregate([
    {$match: {continent: 'Asia'}},
    {$project: {
        _id: 0,
        name: 1,
        density: {$divide: ["$population", "$area"]}
    }}
]);
db.world.aggregate([{$match:{continent:'South America'}},{$project:{_id:0,name:1,density:{$divide:["$population","$area"]}}}]);

Population Density for "V"

Give the name and the population density of all countries with name after V in the alphabet.

Note that because Vatican City (with area 0) is in Europe you will get a divide by zero error unless you filter first.

Use a $match.

{ 
  $match: {
    area: {
      "$ne": 0
    }
  }
}
db.world.aggregate([
    {$match: {name: {$gt: 'V'}}},
    {$project: {
        _id: 0,
        name: 1,
        area: 1
    }}
]);
db.world.aggregate([{$match:{name:{$gt:'V'}}},{$match:{area:{"$ne":0}}},{$project:{_id:0,name:1,density:{$divide:["$population","$area"]}}}]);

Population in millions

Show the name and population in millions for the countries of the continent South America. Divide the population by 1000000 to get population in millions.

db.world.aggregate([
    {$match:{

    }},
    {$project:{
        _id: 0,
        name: 1
    }}
]);
db.world.aggregate([{"$match":{"continent":{"$eq":"South America"}}},{"$project":{"_id":0,"name":1,"population":{"$divide":["$population",1000000]}}}]);

Population density

Show the name and population density for France, Germany, and Italy

db.world.aggregate([
    {$match:{
        name: {$in: ['United Kingdom', 'United States', 'Brazil']},
        population: {$ne: null},
        area: {$ne: 0}
    }},
    {$project:{
        _id: 0,
        name: 1
    }}
]);
db.world.aggregate([{"$match":{"name":{"$in":['France','Germany','Italy']},"population":{"$ne":null},"area":{"$ne":0}}},{"$project":{"_id":0,"name":1,"population density":{"$divide":["$population","$area"]}}}]);

Continents by area

Order the continents by area from most to least.

db.world.aggregate([
    {$group: {
        _id: "$name",
        area: {$max: "$area"}
    }},
    {$sort: {
        area: -1
    }},
    {$project: {
        _id: 1,
        area: 1
    }}
]);
db.world.aggregate([{"$group":{"_id":"$continent","area":{"$sum":"$area"}}},{"$sort":{"area":-1}},{"$project":{"_id":1,"area":1}}]);

Big Continents

Show the only two continents with total area greater than 25000000 and then sort from largest to smallest.

db.world.aggregate([
  {$match: {
      continent: "North America"
  }},
  {$project: {
      _id: 0,
      name: 1
  }}
]);
db.world.aggregate([{$group:{_id:"$continent",area:{$sum:"$area"}}},{$sort:{area:-1}},{$match:{area:{$gt:25000000}}}]);

First and last country by continent

For each continent show the first and last country alphabetically like this:

 { "_id" : "Africa", "from" : "Algeria", "to" : "Zimbabwe" }
 { "_id" : "Asia", "from" : "Afghanistan", "to" : "Yemen" }
 { "_id" : "Caribbean", "from" : "Antigua and Barbuda", "to" : "Trinidad and Tobago" }
 { "_id" : "Eurasia", "from" : "Armenia", "to" : "Russia" }
 { "_id" : "Europe", "from" : "Albania", "to" : "Vatican City" }
 { "_id" : "North America", "from" : "Belize", "to" : "United States" }
 { "_id" : "Oceania", "from" : "Australia", "to" : "Vanuatu" }
 { "_id" : "South America", "from" : "Argentina", "to" : "Venezuela" }
db.world.aggregate([
  {$group: {
      _id: "$continent"
  }},
  {$sort: {
      _id: 1
  }}
]);
db.world.aggregate([{$sort:{name:1}},{$group:{_id:'$continent',from:{$first:'$name'},to:{$last:'$name'}},},{$sort:{_id:1}}])

Countries beginning with...

Group countries according to the first letter of the name. As shown. Only give "U" through to "Z".

You will need to use the $substr function and the $push aggregate function.

 { "_id" : "U", "list" : [ "Uganda", "Ukraine", "United Arab Emirates", "United Kingdom", "United States", "Uruguay", "Uzbekistan" ] }
 { "_id" : "V", "list" : [ "Vanuatu", "Vatican City", "Venezuela", "Vietnam" ] }
 { "_id" : "Y", "list" : [ "Yemen" ] }
 { "_id" : "Z", "list" : [ "Zambia", "Zimbabwe" ] }
db.world.aggregate([
  {$project: {
    _id: '$name',
    startsWith: {$substr: ['$name', 0, 1]}
  }},
  {$match: {
    _id: {$gte: 'U'}
  }},
  {$sort: {_id: 1}}
]);
db.world.aggregate([{$group:{_id:{$substr:['$name',0,1]},list:{$push:'$name'}}},{$match:{_id:{$gte:'U'}}},{$sort:{_id:1}}]);

Harder Questions

Messing with continent names

Combine North America and South America to America, and then list the continents by area. Biggest first.

db.world.aggregate([
  {$group: {
    _id: {
      $cond: [
        {$eq: ["$continent", "North America"]},
        "America",
        {$cond: [
          {$eq: ["$continent", "Asia"]},
          "The East",
          "$continent"
        ]}
      ]
    },
    area: {$sum: "$area"}
  }},
  {$sort: {area: -1}},
  {$project: {
    _id: 1,
    area: 1
  }}
]);
db.world.aggregate([{"$group":{"_id":{"$cond":[{"$eq":["$continent","South America"]},"America",{"$cond":[{"$eq":["$continent","North America"]},"America","$continent"]}]},"area":{"$sum":"$area"}}},{"$sort":{"area":-1}},{"$project":{"_id":1,"area":1}}]); 

Country populations by order of magnitude

Show the number of countries in each order.

For example UK has a population of 64,105,700 so it belongs in the 10,000,000 bucket.

You will need the functions $floor, $log10 and $pow

db.world.aggregate([
    {$match: {
        name: {$regex: "^N"}
    }},
    {$project: {
        _id: 0,
        name: 1
    }}
]);
db.world.aggregate([
    {$project: {name:1,l10:{$pow:[10,{$floor:{$log10:"$population"}}]}}},
    {$group:{_id:"$l10",c:{$sum:1}}},
    {$sort:{_id:1}}
]);