This is a classic case of rule #1 of programming: "I'm a dumbass". The problem is I did not put in the underscores on the function declaration as I forgot you had to do that in VB. Why the preview did not complain, I will never know. The corrected code is:
Public Shared Function GetStdDev(ByVal Sum1 as Integer, ByVal Sum2 as Integer, _
ByVal Sum3 as Integer, ByVal Sum4 as Integer, _
ByVal Sum5 as Integer, ByVal WAvg as double) as Double
Dim aleph as double = 5/60
Dim w1 as double = (Sum1 - WAvg)^2
Dim w2 as double = 2 * ((Sum2 - WAvg)^2)
Dim w3 as double = 3 * ((Sum3 - WAvg)^2)
Dim w4 as double = 4 * ((Sum4 - WAvg)^2)
Dim w5 as double = 5 * ((Sum5 - WAvg)^2)
Dim alpha as double = (w1 + w2 + w3 + w4 + w5) / 5
Dim beta as double = sqrt(alpha * aleph)
Return beta
End Function