AGGREGATE Tutorial: Difference between revisions
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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","$population"]}}}]);</nowiki></pre>  | ||
<  | |||
</  | |||
</div>  | </div>  | ||
==Population Density in South America==  | ==Population Density in South America==  | ||
<div class=q data-lang="mongo">  | <div class="q" data-lang="mongo">  | ||
Give the <code>name</code> and the <code>population density</code> of all countries in South America.  | Give the <code>name</code> and the <code>population density</code> of all countries in South America.  | ||
<div class="hint" title="How to calculate population density">  | <div class="hint" title="How to calculate population density">  | ||
| Line 34: | Line 59: | ||
Use a <code>$match</code>. <code>{"area":{"$ne":0}}</code>  | Use a <code>$match</code>. <code>{"area":{"$ne":0}}</code>  | ||
</div>  | </div>  | ||
<pre class=def  | <pre class="def"><nowiki>  | ||
<  | |||
db.world.aggregate([  | db.world.aggregate([  | ||
     {$match:{continent:'  |      {$match: {continent: 'Asia'}},  | ||
     {$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>  | ||
==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.  | ||
</p>  | </p>  | ||
<div class="hint" title="Division by 0 error?">  | <div class="hint" title="Division by 0 error?">  | ||
Use a <code>$match</code>. <  | Use a <code>$match</code>.  | ||
<pre>  | |||
{    | |||
  $match: {  | |||
    area: {  | |||
      "$ne": 0  | |||
    }  | |||
  }  | |||
}  | |||
</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  | ||
     }}  |      }}  | ||
])  | ]);</nowiki></pre>  | ||
<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":["$population",1000000]}}}]);</nowiki></pre>  | ||
<  | |||
db.world.aggregate([{"$match":{"continent":{"$eq":"South America"}}},{"$project":{"_id":0,"name":1,"population":{"$divide":["$population",1000000]}}}])  | |||
</  | |||
</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>  | ||
<  | |||
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>  | ||
==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>  | </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  | 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:{$gt:25000000}}}]);</nowiki></pre>  | ||
<  | |||
db.world.aggregate([  | |||
])  | |||
</div>  | </div>  | ||
==First and last country by continent==  | ==First and last country by continent==  | ||
<div class=q data-lang="mongo">  | <div class="q" data-lang="mongo">  | ||
For each continent show the first and last country alphabetically like this:  | For each continent show the first and last country alphabetically like this:  | ||
<syntaxhighlight lang="JavaScript>  | |||
  { "_id" : "Africa", "from" : "Algeria", "to" : "Zimbabwe" }  |   { "_id" : "Africa", "from" : "Algeria", "to" : "Zimbabwe" }  | ||
  { "_id" : "Asia", "from" : "Afghanistan", "to" : "Yemen" }  |   { "_id" : "Asia", "from" : "Afghanistan", "to" : "Yemen" }  | ||
| Line 204: | Line 178: | ||
  { "_id" : "Oceania", "from" : "Australia", "to" : "Vanuatu" }  |   { "_id" : "Oceania", "from" : "Australia", "to" : "Vanuatu" }  | ||
  { "_id" : "South America", "from" : "Argentina", "to" : "Venezuela" }  |   { "_id" : "South America", "from" : "Argentina", "to" : "Venezuela" }  | ||
<pre class=def>  | </syntaxhighlight>  | ||
<pre class="def"><nowiki>  | |||
db.world.aggregate([  | db.world.aggregate([  | ||
   {$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'}},},{$sort:{_id:1}}])</nowiki></pre>  | ||
<div class=  | </div>  | ||
==Countries beginning with...==  | |||
<div class="q" data-lang="mongo">  | |||
Group countries according to the first letter of the name. As shown.  | |||
Only give "U" through to "Z".  | |||
You will need to use the '''$substr''' function and the '''$push''' aggregate function.  | |||
<syntaxhighlight lang="JavaScript">  | |||
 { "_id" : "U", "list" : [ "Uganda", "Ukraine", "United Arab Emirates", "United Kingdom", "United States", "Uruguay", "Uzbekistan" ] }  | |||
 { "_id" : "V", "list" : [ "Vanuatu", "Vatican City", "Venezuela", "Vietnam" ] }  | |||
 { "_id" : "Y", "list" : [ "Yemen" ] }  | |||
 { "_id" : "Z", "list" : [ "Zambia", "Zimbabwe" ] }  | |||
</syntaxhighlight>  | |||
<pre class="def"><nowiki>  | |||
db.world.aggregate([  | db.world.aggregate([  | ||
  {$project: {  | |||
    _id: '$name',  | |||
    startsWith: {$substr: ['$name', 0, 1]}  | |||
  }},  | |||
  {$match: {  | |||
    _id: {$gte: 'U'}  | |||
  }},  | |||
  {$sort: {_id: 1}}  | |||
])  | ]);</nowiki></pre>  | ||
</  | <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>  | ||
</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: {  | |||
    _id: {  | |||
      $cond: [  | |||
        {$eq: ["$continent", "North America"]},  | |||
        "America",  | |||
        {$cond: [  | |||
          {$eq: ["$continent", "Asia"]},  | |||
          "The East",  | |||
          "$continent"  | |||
        ]}  | |||
      ]  | |||
    },  | |||
    area: {$sum: "$area"}  | |||
  }},  | |||
])  |   {$sort: {area: -1}},  | ||
</pre>  |   {$project: {  | ||
<  |     _id: 1,  | ||
db.world.aggregate([{"$group":{"_id":{"$cond":[{"$eq":["$continent","South America"]},"America",{"$cond":[{"$eq":["$continent","North America"]},"America","$continent"]}]},"area":{"$sum":"$area"}}},{"$sort":{"area":-1}},{"$project":{"_id":1,"area":1}}])    |     area: 1  | ||
</  |   }}  | ||
]);</nowiki></pre>  | |||
<pre class="ans"><nowiki>db.world.aggregate([{"$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>  | ||
==  | ==Country populations by order of magnitude==  | ||
<div class=q data-lang="mongo">  | <div class="q" data-lang="mongo">  | ||
Show the   | 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 $pow  | |||
<pre class="def"><nowiki>  | |||
<  | |||
db.world.aggregate([  | db.world.aggregate([  | ||
     {$match:{  |      {$match: {  | ||
         name:{$regex:"^  |          name: {$regex: "^N"}  | ||
     }},  |      }},  | ||
     {$project:{  |      {$project: {  | ||
         _id:0,  |          _id: 0,  | ||
         name:1  |          name: 1  | ||
     }}  |      }}  | ||
])  | ]);</nowiki></pre>  | ||
</  | <pre class="ans"><nowiki>db.world.aggregate([  | ||
</  |     {$project: {name:1,l10:{$pow:[10,{$floor:{$log10:"$population"}}]}}},  | ||
    {$group:{_id:"$l10",c:{$sum:1}}},  | |||
    {$sort:{_id:1}}  | |||
<  | ]);  | ||
</nowiki></pre>  | |||
</  | |||
</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.
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}}
]);