[3.12] gh-64588: Clarify the difference between mu and xbar in statis… · python/cpython@a0f82dd · GitHub

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miss-islington

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felixxm

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[3.12] gh-64588: Clarify the difference between mu and xbar in statistics docs (GH-117333) (#118080)

gh-64588: Clarify the difference between mu and xbar in statistics docs (GH-117333) Thanks Davin Potts for the clarification idea. (cherry picked from commit fefd5d9) Co-authored-by: Mariusz Felisiak <felisiak.mariusz@gmail.com>

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Original file line number	Diff line number	Diff line change
@@ -449,9 +449,9 @@ However, for reading convenience, most of the examples show sorted sequences.
449	449	variance indicates that the data is spread out; a small variance indicates
450	450	it is clustered closely around the mean.
451	451
452		- If the optional second argument *mu* is given, it is typically the mean of
453		- the *data*. It can also be used to compute the second moment around a
454		- point that is not the mean. If it is missing or ``None`` (the default),
	452	+ If the optional second argument *mu* is given, it should be the *population*
	453	+ mean of the *data*. It can also be used to compute the second moment around
	454	+ a point that is not the mean. If it is missing or ``None`` (the default),
455	455	the arithmetic mean is automatically calculated.
456	456
457	457	Use this function to calculate the variance from the entire population. To
@@ -521,8 +521,8 @@ However, for reading convenience, most of the examples show sorted sequences.
521	521	the data is spread out; a small variance indicates it is clustered closely
522	522	around the mean.
523	523
524		- If the optional second argument *xbar* is given, it should be the mean of
525		- *data*. If it is missing or ``None`` (the default), the mean is
	524	+ If the optional second argument *xbar* is given, it should be the *sample*
	525	+ mean of *data*. If it is missing or ``None`` (the default), the mean is
526	526	automatically calculated.
527	527
528	528	Use this function when your data is a sample from a population. To calculate
@@ -538,8 +538,8 @@ However, for reading convenience, most of the examples show sorted sequences.
538	538	>>> variance(data)
539	539	1.3720238095238095
540	540
541		- If you have already calculated the mean of your data, you can pass it as the
542		- optional second argument *xbar* to avoid recalculation:
	541	+ If you have already calculated the sample mean of your data, you can pass it
	542	+ as the optional second argument *xbar* to avoid recalculation:
543	543
544	544	.. doctest::
545	545

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