In this study, the elastic stiffness and the degree of anisotropy will be compared for the femur human and bovine bones are presented. A scale for measuring the overall elastic stiffness of the bone at different locations is introduced and its correlation with the calculated bulk modulus is analyzed. Based on constructing orthonormal tensor basis elements using the form-invariant expressions, the elastic stiffness for orthotropic system materials is decomposed into two parts; isotropic (two terms) and anisotropic parts. The overall elastic stiffness is calculated and found to be directly proportional to bulk modulus. A scale quantitative comparison of the contribution of the anisotropy to the elastic stiffness and to measure the degree of anisotropy in an anisotropic material is proposed using the Norm Ratio Criteria (NRC). It is found that bovine femure plexiform has the largest overall elastic stiffness and bovine has the most isotropic (least anisotropic) symmetry.