The rth moment of a set {x1, x2,…, xn} about the point a is the following sum:
Thus, the mean is also known as the first moment about zero. The second moment about zero is the quantity μ2 + σ2, where μ is the mean and σ2 is the variance of the data. The rth moment about the mean is the sum
Statistics + Moment
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First moment about 0 : .7 Second moment about 0 : 32.11
.123,.703,.445,.284
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First moment about 0 : .389 Second moment about 0 : .197
.123,.703,.445,.284
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First moment about the mean : 0 Second moment about the mean : 4.59×10-2