Enter the control mean, the control limit, and the standard deviation into the calculator to determine the control limit LCL and UCL.

Control Limit Formula

The following formula can be used to calculate the upper and lower control limits.

LCL = x - (l*x*s)
UCL = x - (-l*x*s)
  • Where LCL is the lower limit
  • UCL is the upper limit
  • x is the mean
  • s is the standard deviation
  • l is the control limit

Control Limit (Data) Definition

The control limit is a statistical concept used in quality control to assess the variation and performance of data within a process. It represents the boundaries within which data points are expected to fall under normal circumstances.

These limits are defined using statistical calculations based on historical data and are used to monitor and maintain the stability and predictability of a process.

Control limits are typically set at a fixed number of standard deviations from the mean of the data.

The upper control limit (UCL) is calculated by adding a certain number of standard deviations to the mean, while the lower control limit (LCL) is obtained by subtracting the same number of standard deviations from the mean.

This establishes a range within which data points are considered expected and acceptable.

The importance of control limits lies in their ability to help organizations identify variation beyond what is considered normal, known as special cause variation.

When data points fall outside the control limits, the process may have experienced a significant change or a special cause that needs to be investigated. This indicates that the process is no longer stable and predictable, which may lead to defects, errors, or deviations from desired outcomes.

Control Limit Example

How to calculate control limit?

  1. First, determine the mean.

    Measure of calculate the mean of the data.

  2. Next, determine the standard deviation.

    Calculate the standard deviation of the data.

  3. Next, determine the total control limit.

    Measure the total control limit.

  4. Finally, calculate the upper and lower bounds.

    Calculate the upper and lower bounds using the formula above.


What is a control limit?

A control limit is the upper and lower bounds of a set of elements.

What are control charts?

Control charts are charts that monitor the quality of the elements in a data set.