Standard Deviation and Absolute Difference (Jee… | ExamDuo
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Dispersion and Variance
Hard
Standard Deviation and Absolute Difference
Let
X
1
,
X
2
,
.
.
.
,
X
18
be eighteen observations, such that
18
∑
i
=
1
(
X
i
−
α
)
=
36
and
18
∑
i
=
1
(
X
i
−
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 ______.
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