Collection Of Formulas - KERN YKT-01 Bedienungsanleitung

Appendix E

Collection of formulas

n
Max
Min
R
x
Σ
σ
n
σ
n-1
>OT
<UT
Def. %
Cm
Cmk
Cp
Cpk
OT
UT
Stpgröße
Process mean of population
+ + +
x x . . . x
=
X 1 2
n
Standard deviation of population
(
1
∑ ∑
2 −
x
i
n
σ
=
n
n
Standard deviation of a sample
1
∑
2 −
x
i
n
σ
=
−
n 1
−
n 1
74
: Number of measuring values
: Maximum value of populations
: Minimum value of populations
: Range of populations (max. value – min. value)
: Mean value of all measuring ranges
: Sum of all measuring ranges
: Standard deviation of population
: Standard deviation of a sample
: Number of excesses; upper tolerance
: Number of excesses; lower tolerance
: Number of defective parts in %
: Maschine potential
: Maschine capability index
: Process potential
: Process capability
: Upper limit value OGW (Nominal value + OTol)
: Lower limit value UGW (Nominal value – UTol)
: Number of parts sampled
n
)
2
x
i
( )
∑
2
x
i