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单词 geometric mean
释义
geometric mean

Physics
  • See mean.


Mathematics
  • See mean.


Statistics
  • For a set of positive observations x1, x2,…, xn, the geometric mean, g, is given by geometric mean


Chemical Engineering
  • A type of mean value that is the average value of a set of n numbers, and calculated by multiplying them together, and extracting the nth root of the product. For example, the geometric mean of 10, 20, and 40 is 10×20×403=20 and is less than the arithmetic mean, which is (10 + 20 + 40)/3 = 23.33.


Economics
  • The geometric mean G of n numbers (x1,…,xn) is defined by

    G=(x1x2xn)1/n.

    The value of the geometric mean is always greater than that of the harmonic mean but less than the arithmetic mean. The geometric mean is used to compute average growth rates. For example, if an economy grows 5 per cent in year 1 and 3 per cent in year 2 then the geometric mean growth rate is G = (1.05 × 1.03)1/2 = 1.039952.


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