The nuclear properties of the Ytterbium isotopes and their evolution as the neutron number increases has been a central objective in this work. The medium-to-heavy mass Yb isotopes are known to be well-deformed rotational nuclei which can be populated to very high spins. Spectroscopic information becomes scarcer for neutron-rich nuclei, impeding the understanding of nuclear structure in this mass region, where interesting phenomena, such as shape coexistence, have been predicted to exist. The collective behavior of the even-even $^{164-180}Yb$ isotopes was investigated using several well-established theoretical models in synergy with available experimental data. In this work, reduced transition probabilities $B(E2)$ and transition quadrupole moments $Q$ for even-even $^{164-178}Yb$ isotopes have been calculated using the Interacting Boson Model(IBM--1).