Daniel, according to that figure the total deaths from droughts in the 1980s was around 50,000 people. The 1983-5 drought in Ethiopia alone killed 400,000 (exacerbated by corruption etc., yes, but still waaaay more than the figure there, by whatever reckoning). What about the 2011 drought in Somalia, which conservatively killed at least 50,000 people, whereas the graph shows hardly any? Do they have an explanation for these discrepancies? If not, then I suspect that entire diagram is just a little untrustworthy!
Edit: OK, just seen that I misread the caption. That might explain the 1980s, if there was very little famine over the rest of the decade. But still: the Somalian 2011 drought alone, averaged over seven years, gives more deaths per year than the global total, according to this. Something's not right.