Question

The geometric mean of the observations 2,4,16 and 32 is​

Answer 1

Step-by-step explanation:

Gm = ( Product of observations) ^ 1/n

where n = no. of observations

Gm = ( 2,4,16,32) ^ 1/4

= ( 2, 2^2, 2^4, 2^5) ^ 1/4

= {(a^m * a^n) = a^ m+n}

= {(2)^1+2+4+5}^ 1/4

= {(2)^12}^1/4

= (2)^ 12/4

= (2)^3

= 8

so geometric mean of 2,4,16,32 is 8