Let \(X=\{x \in N: 1 \leq x \leq 19\}\) and for some \(a, b \in R, Y=\{a x+b: x \in X\}\). If the mean and variance of t…

Let \(X=\{x \in N: 1 \leq x \leq 19\}\) and for some \(a, b \in R, Y=\{a x+b: x \in X\}\). If the mean and variance of the elements of \(Y\) are \(30\) and \(750\), respectively, then the sum of all possible values of \(b\) is

[JEE Main 2026, 24 Jan (Shift 2)]