diff --git a/py/autoevals/json.py b/py/autoevals/json.py
index a299e29..2ebeb56 100644
--- a/py/autoevals/json.py
+++ b/py/autoevals/json.py
@@ -171,13 +171,25 @@ def json_diff(self, o1, o2):
             all_keys = set(o1.keys()).union(set(o2.keys()))
             base_scores = [self.json_diff(o1.get(k), o2.get(k)) for k in all_keys]
             base_scores = [s for s in base_scores if s is not None]
+            # Every key was skipped, so there is nothing to average. Propagate the
+            # skip rather than dividing by zero.
+            if not base_scores:
+                return None
             return sum(base_scores) / len(base_scores)
         elif isinstance(o1, list) and isinstance(o2, list):
             if len(o1) == 0 and len(o2) == 0:
                 return 1
-            base_scores = [self.json_diff(e1, e2) for (e1, e2) in zip(o1, o2)]
-            base_scores = [s for s in base_scores if s is not None]
-            return sum(base_scores) / max(len(o1), len(o2))
+            paired_scores = [self.json_diff(e1, e2) for (e1, e2) in zip(o1, o2)]
+            base_scores = [s for s in paired_scores if s is not None]
+            # A skipped comparison must not be scored as a mismatch, so drop it from
+            # the denominator the way the dict branch above does. Elements with no
+            # counterpart are a real difference and stay counted, which is what
+            # max(len(o1), len(o2)) contributes over the zip.
+            skipped = len(paired_scores) - len(base_scores)
+            denominator = max(len(o1), len(o2)) - skipped
+            if denominator <= 0:
+                return None
+            return sum(base_scores) / denominator
         elif isinstance(o1, str) and isinstance(o2, str):
             return self.string_scorer.eval(o1, o2).score
         elif (isinstance(o1, int) or isinstance(o1, float)) and (isinstance(o2, int) or isinstance(o2, float)):
diff --git a/py/autoevals/test_json_skipped_scores.py b/py/autoevals/test_json_skipped_scores.py
new file mode 100644
index 0000000..159eb13
--- /dev/null
+++ b/py/autoevals/test_json_skipped_scores.py
@@ -0,0 +1,83 @@
+"""A skipped sub-score must not be averaged as if it were a zero.
+
+`Score.score` is documented as "If the score is None, the evaluation is considered to be
+skipped", and `JSONDiff.json_diff` filters those out before averaging. The dict branch then
+divided by the filtered length, correctly ignoring the skip, while the list branch divided
+by `max(len(o1), len(o2))`, which still counts it. The same skip was therefore ignored
+inside an object and scored as a mismatch inside an array.
+
+The dict branch also divided by `len(base_scores)` with no guard, so an object whose every
+comparison was skipped raised ZeroDivisionError instead of reporting a skip.
+"""
+
+import pytest
+
+from autoevals.json import JSONDiff
+from autoevals.score import Score
+
+
+class _SkipStrings:
+    """Stands in for a string scorer that skips, e.g. an LLM judge that abstained."""
+
+    def eval(self, output, expected=None, **kwargs):
+        return Score(name="skipped", score=None)
+
+
+class _ExactStrings:
+    def eval(self, output, expected=None, **kwargs):
+        return Score(name="exact", score=1 if output == expected else 0)
+
+
+def _diff(**kwargs) -> JSONDiff:
+    return JSONDiff(**kwargs)
+
+
+class TestSkippedScoresAreNotCountedAsMismatches:
+    def test_skipped_element_in_a_list_is_not_scored_as_zero(self):
+        """One of two elements is skipped; the other matches, so the score is 1."""
+        scorer = _diff(string_scorer=_SkipStringsForOne())
+        assert scorer.json_diff(["skip", "same"], ["skip", "same"]) == 1
+
+    def test_list_and_dict_treat_an_identical_skip_the_same_way(self):
+        """The same pair of values, once in an array and once in an object."""
+        scorer = _diff(string_scorer=_SkipStringsForOne())
+        as_list = scorer.json_diff(["skip", "same"], ["skip", "same"])
+        as_dict = scorer.json_diff({"a": "skip", "b": "same"}, {"a": "skip", "b": "same"})
+        assert as_list == as_dict
+
+    def test_a_fully_skipped_object_reports_a_skip_rather_than_raising(self):
+        scorer = _diff(string_scorer=_SkipStrings())
+        assert scorer.json_diff({"a": "x"}, {"a": "y"}) is None
+
+    def test_a_fully_skipped_list_reports_a_skip_rather_than_raising(self):
+        scorer = _diff(string_scorer=_SkipStrings())
+        assert scorer.json_diff(["x"], ["y"]) is None
+
+    def test_missing_elements_are_still_penalised(self):
+        """Dropping skips from the denominator must not also drop real differences."""
+        scorer = _diff(string_scorer=_ExactStrings())
+        assert scorer.json_diff(["a"], ["a", "b"]) == 0.5
+
+    def test_unskipped_lists_are_unchanged(self):
+        scorer = _diff(string_scorer=_ExactStrings())
+        assert scorer.json_diff(["a", "b"], ["a", "b"]) == 1
+        assert scorer.json_diff(["a", "x"], ["a", "b"]) == 0.5
+
+    def test_unskipped_dicts_are_unchanged(self):
+        scorer = _diff(string_scorer=_ExactStrings())
+        assert scorer.json_diff({"a": "1"}, {"a": "1"}) == 1
+        assert scorer.json_diff({"a": "1", "b": "2"}, {"a": "1", "b": "3"}) == 0.5
+
+    def test_empty_containers_still_score_one(self):
+        scorer = _diff(string_scorer=_ExactStrings())
+        assert scorer.json_diff({}, {}) == 1
+        assert scorer.json_diff([], []) == 1
+
+
+class _SkipStringsForOne:
+    """Skips only the value "skip", so a single element of a pair is skipped."""
+
+    def eval(self, output, expected=None, **kwargs):
+        if output == "skip":
+            return Score(name="skipped", score=None)
+        return Score(name="exact", score=1 if output == expected else 0)