-1- You still didn’t make clear if you want to calculate actual moments for known populations or estimator values based on samples.

-2- I personally can implement one of the formulas I find for the topic by user code, but having not done anything in the field of “higher statistics” for decades now, I cannot take any responsibility concerning the applicability under specific conditions. Not having means to at least check results of higher order than 3 (skewness) there should, of course, also implementation errors be expected.

-3- Since I don’t feel sure you can reliably decide what’s needed to get correct and meaningful results, I should not make tools for you. They might tempt you to use them without the sharp criticism they deserve.

This said, I yet post a demo document containing a user function for the purpose which I made in a playful mood.

ask275423HigherStatisticalMoments.ods

Be careful! There’s surely enough bad (evil?) statistics in the world.

===Edit 2020-11-08 about 21:40 UTC===

If this wasn’t about statistical moments, the use-case should have been clearly explained from the beginning.

The code below will calculate moments in the most primitive way. If central moments are required, the `pAxis`

parameter must get passed the AVERAGE of the sequence.

```
Function simpleGeneralMoment(pAxis As Double, pOrder As Long, pSequence)
REM No centralization, no normalization, no anythingation! No statistics at all.
REM pSequence must be data from a contiguous part of a single column.
fa = CreateUnoService("com.sun.star.sheet.FunctionAccess")
N = Ubound(pSequence)
count = fa.callFunction ("COUNT", Array(pSequence))
If count<N Then
simpleGeneralMoment = "numbers only!"
Exit Function
End If
For j = 1 To N
pSequence(j, 1) = (pSequence(j, 1)-pAxis)^pOrder
Next j
simpleGeneralMoment = fa.callFunction("AVERAGE", Array(pSequence))
End Function
```

The formula `=SUM(($A$2:$A$21 - pAxis)^3) / COUNT($A$2:$A$21)`

entered for array-evaluation would also return the third moment for your example. I just don’t know by what value (for pAxis) you want to replace the center.