Variance
A measure of the average deviation from the average value
1. of a sample
Given a sample of \(n\) values \(x_i\) with mean \(\mu\), the variance is defined as
2. of a distribution
For a random variable \(X\) with the distribution in question and having a mean of \(\mu\), the variance is equal to the expectation of the function
1. of a sample
Given a sample of \(n\) values \(x_i\) with mean \(\mu\), the variance is defined as
\[
\frac{1}{n}\sum_{i=1}^{n}\left(x_i - \mu\right)^2
\]
where \(\sum\) is the summation sign.2. of a distribution
For a random variable \(X\) with the distribution in question and having a mean of \(\mu\), the variance is equal to the expectation of the function
\[
f(X) = \left(X - \mu\right)^2
\]
Gallimaufry
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