For a set of observations X = [1, 2, 4, 8, 16, 32], the relationship among Arithmetic Mean (A.M.), Geometric Mean (G.M.), and Harmonic Mean (H.M.) will be represented as:

Correct option is C

There exists a mathematical identity among the three means (when values are positive):

Information Booster:
A.M. ≥ G.M. ≥ H.M. for any set of positive numbers.
These relationships are useful in statistics, economics, and science, especially in data comparison and optimization.
Additional Information:
Option (1) and (2) are incorrect because they reverse or incorrectly square the ratios.
Option (4) contradicts the correct identity.