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gh-64588: Clarify the difference between mu and xbar in statistics docs (#117333)
Thanks Davin Potts for the clarification idea.
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@ -501,9 +501,9 @@ However, for reading convenience, most of the examples show sorted sequences.
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variance indicates that the data is spread out; a small variance indicates
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variance indicates that the data is spread out; a small variance indicates
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it is clustered closely around the mean.
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it is clustered closely around the mean.
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If the optional second argument *mu* is given, it is typically the mean of
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If the optional second argument *mu* is given, it should be the *population*
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the *data*. It can also be used to compute the second moment around a
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mean of the *data*. It can also be used to compute the second moment around
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point that is not the mean. If it is missing or ``None`` (the default),
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a point that is not the mean. If it is missing or ``None`` (the default),
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the arithmetic mean is automatically calculated.
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the arithmetic mean is automatically calculated.
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Use this function to calculate the variance from the entire population. To
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Use this function to calculate the variance from the entire population. To
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@ -573,8 +573,8 @@ However, for reading convenience, most of the examples show sorted sequences.
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the data is spread out; a small variance indicates it is clustered closely
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the data is spread out; a small variance indicates it is clustered closely
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around the mean.
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around the mean.
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If the optional second argument *xbar* is given, it should be the mean of
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If the optional second argument *xbar* is given, it should be the *sample*
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*data*. If it is missing or ``None`` (the default), the mean is
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mean of *data*. If it is missing or ``None`` (the default), the mean is
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automatically calculated.
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automatically calculated.
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Use this function when your data is a sample from a population. To calculate
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Use this function when your data is a sample from a population. To calculate
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@ -590,8 +590,8 @@ However, for reading convenience, most of the examples show sorted sequences.
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>>> variance(data)
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>>> variance(data)
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1.3720238095238095
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1.3720238095238095
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If you have already calculated the mean of your data, you can pass it as the
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If you have already calculated the sample mean of your data, you can pass it
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optional second argument *xbar* to avoid recalculation:
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as the optional second argument *xbar* to avoid recalculation:
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.. doctest::
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.. doctest::
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