The ferroelectric phase transitions in 0.5Ba(Zr0.2Ti0.8)O3-0.5(Ba0.7Ca0.3)TiO3 (BCZT 50/50) ceramics, fabricated by a solid state reaction, were studied by using X-Ray diffraction, Raman spectroscopy, and measuring electric polarization, dielectric permittivity and pyroelectric current. X-ray diffraction (XRD) confirms the coexistence of tetragonal (T) and rhombohedral (R) phases at room temperature. The temperature dependence of the Raman modes frequency reveals the existence of two phase transitions corresponding to the rhombohedral – tetragonal, and tetragonal - cubic close to 30 and 100 °C, respectively. The temperature dependence of electric polarization, pyroelectric current, and dielectric permittivity further supports the ferroelectric (tetragonal) to paraelectric (cubic) phase transition. Moreover, the dielectric permittivity reveals the diffuseness of the phase transition and is attributed to the compositional fluctuations of different polar micro-regions.