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Statistics question

2021 · 26 Feb · Shift 2 · Q46
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Statistics question

2021 · 26 Feb · Shift 2 · Q46

JEE MainMathematicsStatisticsNumerical+4 / −1
Let X1, X2, ......., X18 be eighteen observations such that ∑i=118(Xi−α)=36\sum\limits_{i = 1}^{18} {({X_i} - } \alpha ) = 36i=1∑18​(Xi​−α)=36 and ∑i=118(Xi−β)2=90\sum\limits_{i = 1}^{18} {({X_i} - } \beta {)^2} = 90i=1∑18​(Xi​−β)2=90, where α\alphaα and β\betaβ are distinct real numbers. If the standard deviation of these observations is 1, then the value of |α−β\alpha-\betaα−β | is ‾\underline{\hspace{2cm}}​.
Numerical answer
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