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Question

Mathematics Question on Statistics

Let 𝑋=11,12,13,,40,41𝑋={11,12,13,…,40,41} and 𝑌=61,62,63,,90,91𝑌={61,62,63,…,90,91} be the two sets of observations. If 𝑥ˉ\bar 𝑥 and 𝑦ˉ\bar 𝑦 are their respective means and σ2σ^2 is the variance of all the observations in 𝑋𝑌𝑋∪𝑌, then 𝑥ˉ+𝑦ˉσ2|\bar 𝑥+\bar 𝑦−σ^2| is equal to ____ .

Answer

The answer is 603.