Select the method or formula of your choice.

Plotted points

Each data point, MR i , is the moving range of the x values in each group. MR i is not plotted for i < w because it is undefined.

Notation

TermDescription
MRmoving range
w Number of observations in the moving range. By default, w = 2.

Center line

The center line is the unbiased estimate of the average of the moving range.

When the average moving range is used to estimate the standard deviation, the center line = MR

When the median moving range is used to estimate the standard deviation, the center line = d2(w) * MR.

Notation

MR
the estimate of the average moving range for the method that you use to estimate the standard deviation
d2(w)
an unbiasing constant
w
the number of observations that are used in the moving range

Control limits

Lower control limit (LCL)

The LCL is the greater of the following:

or

Upper control limit (UCL)

Notation

TermDescription
d2() a constant used to estimate the standard deviation
wnumber of observations in the moving range. By default, w = 2.
σ process standard deviation
k parameter for Test 1 (default is 3)
d3() A constant used to estimate LCL and UCL.