diff --git a/stdlib/3.4/statistics.pyi b/stdlib/3.4/statistics.pyi
new file mode 100644
index 000000000000..d9116e58730b
--- /dev/null
+++ b/stdlib/3.4/statistics.pyi
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+# Stubs for statistics
+
+from decimal import Decimal
+from fractions import Fraction
+import sys
+from typing import Iterable, Optional, TypeVar
+
+# Most functions in this module accept homogeneous collections of one of these types
+_Number = TypeVar('_Number', float, Decimal, Fraction)
+
+class StatisticsError(ValueError): ...
+
+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_grouped(data: Iterable[_Number]) -> _Number: ...
+def mode(data: Iterable[_Number]) -> _Number: ...
+def pstdev(data: Iterable[_Number], mu: Optional[_Number] = ...) -> _Number: ...
+def pvariance(data: Iterable[_Number], mu: Optional[_Number] = ...) -> _Number: ...
+def stdev(data: Iterable[_Number], xbar: Optional[_Number] = ...) -> _Number: ...
+def variance(data: Iterable[_Number], xbar: Optional[_Number] = ...) -> _Number: ...