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Mathematics
Problem
In the derivation of population variance for an ungrouped data set, the value of
∑
i
=
1
n
(
x
i
−
x
ˉ
)
\sum_{i=1}^{n}(x_i-\bar{x})
∑
i
=
1
n
(
x
i
−
x
ˉ
)
is required. Which of the following equals this sum? a)
∑
i
=
1
n
x
i
\displaystyle \sum_{i=1}^{n}x_i
i
=
1
∑
n
x
i
b)
n
x
ˉ
n\bar{x}
n
x
ˉ
c) 0 d)
x
ˉ
\bar{x}
x
ˉ
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