\begin{table}%t3 \caption{\label{Tab:observedMDF}The MDF of the Galactic halo field stars as constructed from the sample of 1638~HES with available spectroscopic follow-up observations, by means of scaling to the full candidate sample of 3439~stars (for details see text).} \small%\centerline { \begin{tabular}{r|rrrrrrrrrrrrr} \hline\hline \rule{0ex}{2.3ex} [Fe/H] & $-4.50$ & $-4.30$ & $-4.10$ & $-3.90$ & $-3.70$ & $-3.50$ & $-3.30$ & $-3.10$ & $-2.90$ & $-2.70$ & $-2.50$ & $-2.30$ & $-2.10$\\ $N$ & 0 & 0 & 2 & 0 & 0 & 12 & 45 & 73 & 160 & 198 & 281 & 337 & 399\\ \hline \rule{0ex}{2.3ex} [Fe/H] & $-1.90$ & $-1.70$ & $-1.50$ & $-1.30$ & $-1.10$ & $-0.90$ & $-0.70$ & $-0.50$ & $-0.30$ & $-0.10$ & $+0.10$ & $+0.30$ & $+0.50$\\ $N$ & 313 & 231 & 229 & 209 & 308 & 268 & 178 & 109 & 45 & 33 & 3 & 6 & 0 \\ \hline \end{tabular}} \medskip Note that for a proper comparison with the MDFs predicted by theoretical models, or the MDFs of other stellar populations, the selection efficiency of the HES as a function of [Fe/H] and $(B-V)_0$ must be taken into account (see Table~\ref{Tab:selfrac}). Note also that the HES~sample is increasingly contaminated with thin- and thick-disk stars as [Fe/H] approaches~$0.0$. \end{table}