diff --git a/src/Illuminate/Support/Collection.php b/src/Illuminate/Support/Collection.php
index 30b2aaec849a..77d19aeea3ed 100644
--- a/src/Illuminate/Support/Collection.php
+++ b/src/Illuminate/Support/Collection.php
@@ -80,6 +80,67 @@ public function average($key = null)
         return $this->avg($key);
     }
 
+    /**
+     * Get the median of a given key.
+     *
+     * @param  null $key
+     * @return mixed|null
+     */
+    public function median($key = null)
+    {
+        $count = $this->count();
+        if ($count == 0) {
+            return;
+        }
+
+        $collection = isset($key) ? $this->map(function ($value) use ($key) {
+            return $value->{$key};
+        }) : $this;
+
+        $values = $collection->values()->sort();
+        $middlePosition = (int) floor($count / 2);
+        $hasAnOddQuantity = $count % 2;
+
+        if ($hasAnOddQuantity) {
+            return $values->get($middlePosition);
+        }
+
+        $start = $values->get($middlePosition - 1);
+        $end = $values->get($middlePosition);
+
+        return (new static([$start, $end]))->average();
+    }
+
+    /**
+     * Get the mode of a given key.
+     *
+     * @param  null $key
+     * @return static|null
+     */
+    public function mode($key = null)
+    {
+        $count = $this->count();
+        if ($count == 0) {
+            return;
+        }
+
+        $collection = isset($key) ? $this->map(function ($value) use ($key) {
+            return $value->{$key};
+        }) : $this;
+
+        $set = new static;
+        $collection->each(function ($value) use (&$set) {
+            $set[$value] = isset($set[$value]) ? $set[$value] + 1 : 1;
+        });
+
+        $sorted = $set->sort();
+        $highestValue = $sorted->last();
+
+        return $sorted->filter(function ($value) use ($highestValue) {
+            return $value == $highestValue;
+        })->sort()->keys();
+    }
+
     /**
      * Collapse the collection of items into a single array.
      *
diff --git a/tests/Support/SupportCollectionTest.php b/tests/Support/SupportCollectionTest.php
index 2b12ae21e1df..8a91eea741e4 100755
--- a/tests/Support/SupportCollectionTest.php
+++ b/tests/Support/SupportCollectionTest.php
@@ -1282,6 +1282,68 @@ public function testPipe()
             return $collection->sum();
         }));
     }
+
+    public function testMedianValueWithArrayCollection()
+    {
+        $collection = new Collection([1, 2, 2, 4]);
+
+        $this->assertEquals(2, $collection->median());
+    }
+
+    public function testMedianValueByKey()
+    {
+        $collection = new Collection([
+            (object) ['foo' => 1],
+            (object) ['foo' => 2],
+            (object) ['foo' => 2],
+            (object) ['foo' => 4],
+        ]);
+        $this->assertEquals(2, $collection->median('foo'));
+    }
+
+    public function testEvenMedianCollection()
+    {
+        $collection = new Collection([
+            (object) ['foo' => 0],
+            (object) ['foo' => 3],
+        ]);
+        $this->assertEquals(1.5, $collection->median('foo'));
+    }
+
+    public function testMedianOnEmptyCollectionReturnsNull()
+    {
+        $collection = new Collection();
+        $this->assertNull($collection->median());
+    }
+
+    public function testModeOnNullCollection()
+    {
+        $collection = new Collection();
+        $this->assertNull($collection->mode());
+    }
+
+    public function testMode()
+    {
+        $collection = new Collection([1, 2, 3, 4, 4, 5]);
+        $this->assertEquals(new Collection([4]), $collection->mode());
+    }
+
+    public function testModeValueByKey()
+    {
+        $collection = new Collection([
+            (object) ['foo' => 1],
+            (object) ['foo' => 1],
+            (object) ['foo' => 2],
+            (object) ['foo' => 4],
+        ]);
+        $this->assertEquals(new Collection([1]), $collection->mode('foo'));
+    }
+
+    public function testWithMultipleModeValues()
+    {
+        $collection = new Collection([1, 2, 2, 1]);
+        $this->assertEquals(new Collection([1, 2]), $collection->mode());
+    }
 }
 
 class TestAccessorEloquentTestStub