Data associated with the paper "Spin noise of localized electrons in CdTe/CdMgTe quantum well". The data are presented in hdf5 format and correspond to Fig. 6 from the article https://arxiv.org/abs/2512.20527 . The file contains (i) differential spin noise spectra (B=0 - B=0.16 mT) measured at to probe power of 60 µW, probe energy 1.616 eV and temperatures varying from T = 3.5 K to 17 K, as well as (ii) the corresponding theoretical calculation.