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Q.
The geometric mean of the numbers 2, 8, 16, 128, 512 is
Statistics
Solution:
Required geometric mean
$= \left(2\times8\times 16\times 128\times 512\right)^{1/5} $
(note that there are 5 items and each item is a power of 2) $= \left(2^{1} \times 2^{3}\times 2^{4}\times 2^{7}\times 2^{9}\right)^{1/5} = \left(2^{1+3+4+7+9}\right)^{1/5} $$=2^{24/5}$