diff --git a/Doc/library/random.rst b/Doc/library/random.rst
index 7d051e1..79a7bdd 100644
--- a/Doc/library/random.rst
+++ b/Doc/library/random.rst
@@ -404,7 +404,7 @@
 size five::
 
    # http://statistics.about.com/od/Applications/a/Example-Of-Bootstrapping.htm
-   from statistics import mean
+   from statistics import fmean as mean
    from random import choices
 
    data = 1, 2, 4, 4, 10
@@ -419,7 +419,7 @@
 between the effects of a drug versus a placebo::
 
     # Example from "Statistics is Easy" by Dennis Shasha and Manda Wilson
-    from statistics import mean
+    from statistics import fmean as mean
     from random import shuffle
 
     drug = [54, 73, 53, 70, 73, 68, 52, 65, 65]
diff --git a/Doc/library/statistics.rst b/Doc/library/statistics.rst
index 26bb592..20a2c1c 100644
--- a/Doc/library/statistics.rst
+++ b/Doc/library/statistics.rst
@@ -39,6 +39,7 @@
 
 =======================  =============================================
 :func:`mean`             Arithmetic mean ("average") of data.
+:func:`fmean`            Fast, floating point arithmetic mean.
 :func:`harmonic_mean`    Harmonic mean of data.
 :func:`median`           Median (middle value) of data.
 :func:`median_low`       Low median of data.
@@ -111,6 +112,23 @@
       ``mean(data)`` is equivalent to calculating the true population mean μ.
 
 
+.. function:: fmean(data)
+
+   Convert *data* to floats and compute the arithmetic mean.
+
+   This runs faster than the :func:`mean` function and it always returns a
+   :class:`float`.  The result is highly accurate but not as perfect as
+   :func:`mean`.  If the input dataset is empty, raises a
+   :exc:`StatisticsError`.
+
+   .. doctest::
+
+      >>> fmean([3.5, 4.0, 5.25])
+      4.25
+
+   .. versionadded:: 3.8
+
+
 .. function:: harmonic_mean(data)
 
    Return the harmonic mean of *data*, a sequence or iterator of
diff --git a/Doc/whatsnew/3.8.rst b/Doc/whatsnew/3.8.rst
index 2f759f3..bf7300d 100644
--- a/Doc/whatsnew/3.8.rst
+++ b/Doc/whatsnew/3.8.rst
@@ -254,6 +254,15 @@
 post-handshake authentication.
 (Contributed by Christian Heimes in :issue:`34670`.)
 
+
+statistics
+----------
+
+Added :func:`statistics.fmean` as a faster, floating point variant of
+:func:`statistics.mean()`.  (Contributed by Raymond Hettinger and
+Steven D'Aprano in :issue:`35904`.)
+
+
 tokenize
 --------