Statistical control limits for individuals calculator

Calculate individuals center and average moving range, span 2 with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use individuals center and average moving range, span 2 to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Time-ordered individual readings (measurement units)
10,12,11,13
Individuals center (measurement units)
11.5
Average moving range, span 2 (measurement units)
1.666667
Individuals lower limit (measurement units)
7.067376
Individuals upper limit (measurement units)
15.932624
Moving range lower limit (measurement units)
0
Moving range upper limit (measurement units)
5.445

Try another scenario

Time-ordered individual readings (measurement units)
10,14,12,16
Individuals center (measurement units)
13
Average moving range, span 2 (measurement units)
3.333333
Individuals lower limit (measurement units)
4.134752
Individuals upper limit (measurement units)
21.865248
Moving range lower limit (measurement units)
0
Moving range upper limit (measurement units)
10.89
Calculation method

Calculation method

Individuals center (measurement units)

mean(x).

Average moving range, span 2 (measurement units)

mean(abs(x[i]-x[i-1])).

Individuals lower limit (measurement units)

mean(x)-3*MRbar/1.128.

Individuals upper limit (measurement units)

mean(x)+3*MRbar/1.128.

Moving range lower limit (measurement units)

0.

Moving range upper limit (measurement units)

3.267*MRbar.

Symbols and units
a
Time-ordered individual readings (measurement units)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Classical I-MR span 2, rounded normal-theory constants. Baseline exploratory limits, not engineering specifications or automatic process certification. Supported limits: 2..1000 finite chronological observations; no gaps or missing values.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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