SciPy

scipy.stats.mstats.gmean

scipy.stats.mstats.gmean(a, axis=0)[source]

Compute the geometric mean along the specified axis.

Returns the geometric average of the array elements. That is: n-th root of (x1 * x2 * ... * xn)

Parameters :

a : array_like

Input array or object that can be converted to an array.

axis : int, optional, default axis=0

Axis along which the geometric mean is computed.

dtype : dtype, optional

Type of the returned array and of the accumulator in which the elements are summed. If dtype is not specified, it defaults to the dtype of a, unless a has an integer dtype with a precision less than that of the default platform integer. In that case, the default platform integer is used.

Returns :

gmean : ndarray

see dtype parameter above

See also

numpy.mean
Arithmetic average
numpy.average
Weighted average
hmean
Harmonic mean

Notes

The geometric average is computed over a single dimension of the input array, axis=0 by default, or all values in the array if axis=None. float64 intermediate and return values are used for integer inputs.

Use masked arrays to ignore any non-finite values in the input or that arise in the calculations such as Not a Number and infinity because masked arrays automatically mask any non-finite values.