In this thesis, we investigate the thermodynamic geometry of intermediate statistic systems. Using a qualitative tool, namely the thermodynamic curvature, we consider the thermodynamic behaviors of ideal gases with particles obeying Haldane fractional exclusion statistics, Gentile statistics, Polychronakos statistics, non-Abelian fractional statistics and q-deformed bosons and fermions. Thermodynamic curvature can be used as a measure of statistical interaction and therefore, we find the statistical interaction of various intermediate statistic systems in low and high temperature limit. Also, by studying the singular point of thermodynamic curvature, we explore the phase transition points in these systems. It is shown that the statistical interaction of these systems is related to the fractional or deformation parameter and it may be attractive or repulsive, however in low temperature limit the dominant behavior is repulsive interaction. In some intermediate statistic systems, there is a phase transition such as Bose-Einstein condensation and we work out the related phase transition temperature. Key Words : Intermediate statistics, Thermodynamic geometry, Thermodynamic curvature, Bose-Einstein condensation