diff --git a/maths/average_weighted.py b/maths/average_weighted.py
new file mode 100644
index 000000000000..8738efb318ed
--- /dev/null
+++ b/maths/average_weighted.py
@@ -0,0 +1,38 @@
+from __future__ import annotations
+
+
+def weighted_mean(values: list[float], weights: list[float]) -> float:
+    """
+    Return the weighted mean of a list of values given their weights.
+    Wiki: https://en.wikipedia.org/wiki/Weighted_arithmetic_mean
+
+    >>> weighted_mean([10, 20, 30], [1, 2, 3])
+    23.333333333333332
+    >>> weighted_mean([5, 5, 5], [1, 1, 1])
+    5.0
+    >>> weighted_mean([], [])
+    Traceback (most recent call last):
+        ...
+    ValueError: values and weights cannot be empty
+    >>> weighted_mean([1, 2], [1])
+    Traceback (most recent call last):
+        ...
+    ValueError: values and weights must have the same length
+    >>> weighted_mean([1, 2], [0, 0])
+    Traceback (most recent call last):
+        ...
+    ValueError: sum of weights cannot be zero
+    """
+    if len(values) == 0:
+        raise ValueError("values and weights cannot be empty")
+    if len(values) != len(weights):
+        raise ValueError("values and weights must have the same length")
+    if sum(weights) == 0:
+        raise ValueError("sum of weights cannot be zero")
+    return sum(x * w for x, w in zip(values, weights)) / sum(weights)
+
+
+if __name__ == "__main__":
+    import doctest
+
+    doctest.testmod()
diff --git a/maths/weighted_average.py b/maths/weighted_average.py
new file mode 100644
index 000000000000..a6a309c1cd63
--- /dev/null
+++ b/maths/weighted_average.py
@@ -0,0 +1,44 @@
+from __future__ import annotations
+
+
+def weighted_average(values: list[float], weights: list[float]) -> float:
+    """
+    Return the weighted average of a list of values given their corresponding weights.
+
+    https://en.wikipedia.org/wiki/Weighted_arithmetic_mean
+
+    >>> weighted_average([1, 2, 3], [1, 1, 1])
+    2.0
+    >>> weighted_average([10, 20, 30], [1, 2, 3])
+    23.333333333333332
+    >>> weighted_average([5, 15], [1, 3])
+    12.5
+    >>> weighted_average([100], [0.5])
+    100.0
+    >>> weighted_average([], [])
+    Traceback (most recent call last):
+        ...
+    ValueError: Inputs cannot be empty
+    >>> weighted_average([1, 2], [1])
+    Traceback (most recent call last):
+        ...
+    ValueError: Values and weights must have the same length
+    >>> weighted_average([1, 2, 3], [0, 0, 0])
+    Traceback (most recent call last):
+        ...
+    ValueError: Sum of weights cannot be zero
+    """
+    if not values:
+        raise ValueError("Inputs cannot be empty")
+    if len(values) != len(weights):
+        raise ValueError("Values and weights must have the same length")
+    total_weight = sum(weights)
+    if total_weight == 0:
+        raise ValueError("Sum of weights cannot be zero")
+    return sum(value * weight for value, weight in zip(values, weights)) / total_weight
+
+
+if __name__ == "__main__":
+    import doctest
+
+    doctest.testmod()