Let \(X=\{11,12,13, \ldots . ., 40,41\}\) and \(Y=\{61,62,63, \ldots \ldots\), \(90,91\}\) be the two sets of observatio…

Let \(X=\{11,12,13, \ldots . ., 40,41\}\) and \(Y=\{61,62,63, \ldots \ldots\), \(90,91\}\) be the two sets of observations. If \(\bar{x}\) and \(\bar{y}\) are their respective means and \(\sigma^2\) is the variance of all the observations in \(X \cup Y\), then \(\left|\bar{x}+\bar{y}-\sigma^2\right|\) is equal to__________