## Moments About Mean

For a set of N numbers comprised of X

_{1}, X

_{2}, ..., X

_{N}, the k

^{th}moment about the mean is defined as:

The first moment about the
mean, μ

The second moment about the mean, μ

Find the first, second, and third moments about the mean for the set of numbers 1, 4, 6, and 9.

_{1}, is zero.The second moment about the mean, μ

_{2}, represents the variance, and is usually denoted σ^{2}, where σ represents the standard deviation.Example:

Find the first, second, and third moments about the mean for the set of numbers 1, 4, 6, and 9.

Solution:

Related Topics: