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The geometric mean of the observations x1, x2, ……, xn  is defined as


For simple frequency distribution,

For grouped frequency distribution, x1 is taken as class mark.


NOTE: 1. The logarithm of the G.M. of a variate is the A.M. of its logarithm.

  1. G.M. = 0 iff a single variate value is zero.
  2. G.M. is not used if any variate value is negative.


Example 2. Find the G.M. of the following distribution

Solution. Here N = No. of days = 15.