You have made the classical mistake to have arbitrary field names. MongoDB is "schema-free", but it doesn't mean you don't need to think about your schema. Key names should be descriptive, and in your case, f.e. "S2" does not really mean anything. In order to do most kinds of queries and operations, you will need to redesign you schema to store your data like this:
_id:...
Segment:[
{ field: "S1", value: 1 },
{ field: "S2", value: 5 },
{ field: "Sn", value: 10 },
]
You can then run your query like:
db.collection.aggregate( [
{ $unwind: "$Segment" },
{ $group: {
_id: '$_id',
sum: { $sum: '$Segment.value' }
} }
] );
Which then results into something like this (with the only document from your question):
{
"result" : [
{
"_id" : ObjectId("51e4772e13573be11ac2ca6f"),
"sum" : 16
}
],
"ok" : 1
}
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