[issue27181] Add geometric mean to `statistics` module

[Mark Dickinson]

Mark Dickinson added the comment:

A failing case:

>>> statistics.geometric_mean([0.7 for _ in range(5000)])
Traceback (most recent call last):
  File "/Users/mdickinson/Python/cpython-git/Lib/statistics.py", line 362, in float_nroot
    isinfinity = math.isinf(x)
OverflowError: int too large to convert to float

During handling of the above exception, another exception occurred:

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "/Users/mdickinson/Python/cpython-git/Lib/statistics.py", line 595, in geometric_mean
    s = 2**p * _nth_root(2**q, n)
  File "/Users/mdickinson/Python/cpython-git/Lib/statistics.py", line 346, in nth_root
    return _nroot_NS.float_nroot(x, n)
  File "/Users/mdickinson/Python/cpython-git/Lib/statistics.py", line 364, in float_nroot
    return _nroot_NS.bignum_nroot(x, n)
  File "/Users/mdickinson/Python/cpython-git/Lib/statistics.py", line 489, in bignum_nroot
    b = 2**q * _nroot_NS.nroot(2**r, n)
  File "/Users/mdickinson/Python/cpython-git/Lib/statistics.py", line 384, in nroot
    r1 = math.pow(x, 1.0/n)
OverflowError: int too large to convert to float

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Python tracker <report at bugs.python.org>
<http://bugs.python.org/issue27181>
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