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Let X1,X2,….,X(18) be eighteen observati...

Let `X_1,X_2,….,X_(18)` be eighteen observations such that `sum_(i=1)^(18)(X_i-alpha)=36 and sum_(i=1)^(18)(X_i-beta)^2=90` , where `alpha and beta` are distinct real number. If the standard deviation of these observations is 1 then the value of `|alpha-beta|` is `"_____"`

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