Defined for samples 
,
,
..., 
by
 |
(1)
|
where
 |
(2)
|
The first few are
 |  |  |
(3)
|
 |  |  |
(4)
|
 |  |  |
(5)
|
 |  |  |
(6)
|
Standardized Moment
See also
Kurtosis, Moment, SkewnessExplore with Wolfram|Alpha
References
Kenney, J. F. and Keeping, E. S. "Moments in Standard Units." §7.8 in Mathematics of Statistics, Pt. 1, 3rd ed. Princeton, NJ: Van Nostrand, pp. 98-99, 1962.Referenced on Wolfram|Alpha
Standardized MomentCite this as:
Weisstein, Eric W. "Standardized Moment." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StandardizedMoment.html