We consider various data-analysis queries on two-dimensional points. We give new space/
time tradeoffs over previous work on geometric queries such as dominance and rectangle
visibility, and on semigroup and group queries such as sum, average, variance, minimum
and maximum. We also introduce new solutions to queries less frequently considered in
the literature such as two-dimensional quantiles, majorities, successor/predecessor, mode,
and various top-k queries, considering static and dynamic scenarios.