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(Bernoulli 23(4A):2617\u20132642, 2017; J Multivar Anal 168:276\u2013289, 2018) that simplicial volumes formed by independent copies of random variables can be used to extend the definition of generalised variances. It is shown in this paper that exterior algebra is a natural environment in which to study these constructions. This is used to extend the formulation to covariances and correlations. 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