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 numbers. If the standard deviation of these observations is 1, then the value of |\alpha-\beta| is ______. [26 Feb 2021 Shift 2]

Statistics Part 1

Section: Mathematics

Question : 43 of 100

Marks: +1, -0

Let X1,X2,...,X18 be eighteen observations, such that

∑

i=1

(Xi−α)=36 and

∑

i=1

(Xi−β)2=90, where α and β are distinct real numbers. If the standard deviation of these observations is 1, then the value of |α−β| is ______.

[26 Feb 2021 Shift 2]

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