diff --git a/Lib/test/test_statistics.py b/Lib/test/test_statistics.py
index 9971107..4b8686b 100644
--- a/Lib/test/test_statistics.py
+++ b/Lib/test/test_statistics.py
@@ -1599,6 +1599,27 @@ def test_doubled_data(self):
         actual = self.func(data*2)
         self.assertApproxEqual(actual, expected)
 
+    def test_with_weights(self):
+        self.assertEqual(self.func([40, 60], [5, 30]), 56.0)  # common case
+        self.assertEqual(self.func([40, 60],
+                                   weights=[5, 30]), 56.0)    # keyword argument
+        self.assertEqual(self.func(iter([40, 60]),
+                                   iter([5, 30])), 56.0)      # iterator inputs
+        self.assertEqual(
+            self.func([Fraction(10, 3), Fraction(23, 5), Fraction(7, 2)], [5, 2, 10]),
+            self.func([Fraction(10, 3)] * 5 +
+                      [Fraction(23, 5)] * 2 +
+                      [Fraction(7, 2)] * 10))
+        self.assertEqual(self.func([10], [7]), 10)            # n=1 fast path
+        with self.assertRaises(TypeError):
+            self.func([1, 2, 3], [1, (), 3])                  # non-numeric weight
+        with self.assertRaises(statistics.StatisticsError):
+            self.func([1, 2, 3], [1, 2])                      # wrong number of weights
+        with self.assertRaises(statistics.StatisticsError):
+            self.func([10], [0])                              # no non-zero weights
+        with self.assertRaises(statistics.StatisticsError):
+            self.func([10, 20], [0, 0])                       # no non-zero weights
+
 
 class TestMedian(NumericTestCase, AverageMixin):
     # Common tests for median and all median.* functions.