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.
- G.M. = 0 iff a single variate value is zero.
- 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.