We present a novel \emph{weakest pre calculus} for \emph{reasoning about quantitative hyperproperties} over \emph{non-deterministic programs}. Whereas existing quantitative weakest pre allows reasoning about the expected or anticipated values that a quantity assumes after program termination from a \emph{single initial state}, we do so for \emph{initial sets of states} or \emph{initial probability distributions}. We thus (i) obtain a weakest pre calculus for hyper Hoare logic and (ii) enable reasoning about so-called \emph{hyperquantities} such as expected values and variances.