This paper is devoted to analyzing the consequence of the presence of a scalar field on the statistical properties of the hairy black holes in 2+1 dimensions. The presence of the scalar field can be related to the fluctuations of thermal effects. Consequences of the entropy and temperature corrections, on the statistical characteristics of the black holes investigated. Different types of hairy black holes are considered and their modified thermodynamics quantities are calculated up to the first-orders corrections. The model has some novel outcomes on the P − V plane of space and its features as the phase shifts and critical points. These significant effects are studied, and special attention is paid to checking the local and global steadiness of the black holes under the applied conditions. The influences of the model on the related thermodynamic characteristics are obtained and explained
