Recent research on compressed binary hydrides have unveiled the potential for achieving superconductivity at near-room-temperature. Nevertheless, the available decision-making procedures standing behind the selection of constituent elements that may potentially exhibit high values of critical temperature ($T_c$) are far from optimal. In other words, a lot of experimental and numerical effort is wasted on exploring unpromising compounds. By conducting a deep study of a database containing over $580$ binary hydride superconductors, we were able to observe some interesting relationships between $T_c$ and selected physico-chemical properties of examined compounds. Among studied parameters, the ratio of the sum of the molecular weight of heavier atoms to the total mass of all hydrogen atoms in the chemical formula of hydride ($M_X/M_H$) was found to be the most valuable indicator that can help to screen for new promising superconductor candidates. This is because the highest $T_c$ requires the lowest $M_X/M_H$ ratio. Statistical analysis indicates a $28\%$ chance of finding $T_c > 200$ K within $0 < M_X/M_H < 15$. It is expected that these findings will not only allow for more efficient use of resources by improving future superconductor candidates selection but also they will accelerate ongoing experimental and numerical research that should bring new exciting discoveries in a much shorter time.