diff --git a/stdlib/3/statistics.pyi b/stdlib/3/statistics.pyi
index 5041933c4..bd30885c6 100644
--- a/stdlib/3/statistics.pyi
+++ b/stdlib/3/statistics.pyi
@@ -3,12 +3,17 @@
 from decimal import Decimal
 from fractions import Fraction
 import sys
-from typing import Any, Iterable, List, Optional, SupportsFloat, Type, TypeVar, Union
+from typing import Any, Iterable, List, Optional, SupportsFloat, Type, TypeVar, Union, Protocol
 
 _T = TypeVar("_T")
 # Most functions in this module accept homogeneous collections of one of these types
 _Number = TypeVar('_Number', float, Decimal, Fraction)
 
+# Used in median_high, median_low
+class _Sortable(Protocol):
+    def __lt__(self, other) -> bool: ...
+_SortableT = TypeVar("_SortableT", bound=_Sortable)
+
 class StatisticsError(ValueError): ...
 
 if sys.version_info >= (3, 8):
@@ -18,8 +23,8 @@ def mean(data: Iterable[_Number]) -> _Number: ...
 if sys.version_info >= (3, 6):
     def harmonic_mean(data: Iterable[_Number]) -> _Number: ...
 def median(data: Iterable[_Number]) -> _Number: ...
-def median_low(data: Iterable[_Number]) -> _Number: ...
-def median_high(data: Iterable[_Number]) -> _Number: ...
+def median_low(data: Iterable[_SortableT]) -> _SortableT: ...
+def median_high(data: Iterable[_SortableT]) -> _SortableT: ...
 def median_grouped(data: Iterable[_Number], interval: _Number = ...) -> _Number: ...
 def mode(data: Iterable[_Number]) -> _Number: ...
 if sys.version_info >= (3, 8):