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This paper gives a straightforward self-contained proof of the formula forthe variance of the number of comparisons used by the Quicksort sortingalgorithm when pivots are chosen uniformly at random. The result has been knownfor some time but we had not found a single source giving all details of theargument in a self-contained and explicit way. We hope these details may be ofinterest to students and others wishing to understand this calculation. Nooriginality is claimed for the result.

Variance of the number of Comparisons of Randomized Quicksort