Upper Control Limit Calculator

Find the control chart limits from the mean and standard deviation.

Upper control limit 56
Lower control limit 44

Formula: UCL = mean + kσ; LCL = mean − kσ

Step-by-step with your numbers:
1. Values used:
2. Process mean = 50
3. Standard deviation = 2
4. Sigma multiple = 3
5.
6. Upper control limit = 56
7. Lower control limit = 44
Did we solve your problem today?

Control limits flag when a process drifts out of its normal range.

The math behind it

UCL = mean + kσ, LCL = mean − kσ, usually with k = 3 (the 3-sigma rule).

Worked example

Mean 50, σ 2, 3σ → UCL 56, LCL 44.

FAQ

What does crossing a limit mean?

A likely special cause — the process may be out of control.