User`s manual

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Standard Deviation
The formula for calculating the standard deviation of a
subgroup (sample) is:
s =
J
A$- (g&)*/n
i=l
i=l
(n- 1)
s Bar
The formula for calculating the mean of a series of standard
deviation values (s) is:
k
c
si
s = izl
k
Estimated Sigma: X Bar and R Chart
The formula for calculating estimated sigma (a) for the X
Bar and R chart is:
a
estimated CJ = d
2
Estimated Sigma: X Bar and s Chart
The formula for calculating estimated sigma (CT) for the X
Bar and s chart is:
estimated u = L
c4
c-3