[issue27181] Add geometric mean to `statistics` module

[Steven D'Aprano]

Steven D'Aprano added the comment:

On Thu, Jun 09, 2016 at 09:24:04AM +0000, Mark Dickinson wrote:

> On the other hand, apparently `exp(mean(log(...)))` is good enough for SciPy:

Hmm, well, I don't have SciPy installed, but I've found that despite 
their (well-deserved) reputation, numpy (and presumably scipy) often 
have rather naive algorithms that can lose accuracy rather 
spectacularly.

py> statistics.mean([1e50, 2e-50, -1e50, 2e-50])
1e-50
py> np.mean(np.array([1e50, 2e-50, -1e50, 2e-50]))
5e-51

py> statistics.mean([1e50, 2e-50, -1e50, 2e-50]*1000)
1e-50
py> np.mean(np.array([1e50, 2e-50, -1e50, 2e-50]*1000))
5.0000000000000002e-54

On the other hand, np is probably a hundred times (or more) faster, so I 
suppose accuracy/speed makes a good trade off.

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<http://bugs.python.org/issue27181>
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