How to group date quarterly wise in MongoDB

You could make use of the $cond operator to check if:

• The $month is <= 3, project a field named quarter with value as "one".
• The $month is <= 6, project a field named quarter with value as "two".
• The $month is <= 9, project a field named quarter with value as "three".
• else the value of the field quarter would be "fourth".
• Then $group by the quarter field.

Code:

db.collection.aggregate([
  {
    $project: {
      date: 1,
      quarter: {
        $cond: [
          { $lte: [{ $month: "$date" }, 3] },
          "first",
          {
            $cond: [
              { $lte: [{ $month: "$date" }, 6] },
              "second",
              {
                $cond: [{ $lte: [{ $month: "$date" }, 9] }, "third", "fourth"],
              },
            ],
          },
        ],
      },
    },
  },
  { $group: { _id: { quarter: "$quarter" }, results: { $push: "$date" } } },
]);

Specific to your schema:

db.collection.aggregate([
  {
    $project: {
      dateAttempted: 1,
      userId: 1,
      topicId: 1,
      ekgId: 1,
      title: 1,
      quarter: {
        $cond: [
          { $lte: [{ $month: "$dateAttempted" }, 3] },
          "first",
          {
            $cond: [
              { $lte: [{ $month: "$dateAttempted" }, 6] },
              "second",
              {
                $cond: [
                  { $lte: [{ $month: "$dateAttempted" }, 9] },
                  "third",
                  "fourth",
                ],
              },
            ],
          },
        ],
      },
    },
  },
  { $group: { _id: { quarter: "$quarter" }, results: { $push: "$$ROOT" } } },
]);

You could use following to group documents quarterly.

{
    $project : {
        dateAttempted : 1,
        dateQuarter: {
            $trunc : {$add: [{$divide: [{$subtract: [{$month: 
            "$dateAttempted"}, 1]}, 3]}, 1]}
        }
    }
}