L1. The sample variance of x₁,..., n E R is given by ² := 1 n-1 n i=1 (x₁ - x)², where is the sample mean. Show that the sample variance equals 0, if and only if all observations in the sample coincide.

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L1. The sample variance of x₁, ..., xn € R is given by
ô²
=
1
n - 1
n
Σ(x₁ - x)²,
i=1
where is the sample mean. Show that the sample variance equals 0, if and only if all
observations in the sample coincide.
Transcribed Image Text:L1. The sample variance of x₁, ..., xn € R is given by ô² = 1 n - 1 n Σ(x₁ - x)², i=1 where is the sample mean. Show that the sample variance equals 0, if and only if all observations in the sample coincide.
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