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These are comprehensive baseline data on the geochemical composition of archeological ceramics analyzed using instrumental neutron activation analysis (INAA). The data obtained support the research article conducted to evaluate the elemental composition of 70 sherds that were collected from different locations [1], [2], [3]. The mass fractions in wt% and in mg/kg of 39 oxides and elements were determined, respectively. Quality control of analytical measurements was carried out using different certified reference materials. Univariate and multivariate statistical analyses were performed. The common geochemical composition of the archeological pottery was used to decipher the provenance of ceramics and to establish reference groups based on various statistical approaches. For instance, hierarchical clustering (HC), linear discriminant analysis (LDA), principal component analysis (PCA) were used. The data was used to extract information about the important elements using machine learning (ML) methods. The obtained data show that chromium was the most important element and was used along with other elements as a fingerprint to distinguish the fragments. The chemical and statistical analyzes help to establish reference groups for medieval archeological pottery, which will be used in the future to classify and identify various unknown sherds. These reference groups serve as baseline data for determining where the fragments were made and are considered a reasonable judgment based on experimental data., Competing Interests: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper, (© 2023 The Authors.)