A complete survey is presented of all half-life and branching-ratio measurements related to the isospin $T=1/2$ mirror \ensuremath{\beta} transitions ranging from $^{3}\mathrm{He}$ to $^{83}\mathrm{Mo}$. No measurements are ignored, although some are rejected for cause. Using the decay energies obtained in the 2003 Mass Evaluation experimental $\mathit{ft}$ values are then determined for the transitions up to $^{45}\mathrm{V}$. For the first time also all associated theoretical corrections needed to convert these results into ``corrected'' $\mathcal{F}t$ values, similar to the superallowed ${0}^{+}\ensuremath{\rightarrow}{0}^{+}$ pure Fermi \ensuremath{\beta} transitions, were calculated. Precisions of the resulting values are in most cases between 0.1 and 0.4%. These $\mathcal{F}{t}^{\mathrm{mirror}}$ values can now be used to extract precise weak interaction information from past and ongoing correlation measurements in the beta decay of the $T=1/2$ mirror \ensuremath{\beta} transitions.