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# Cumulative Sum (CUSUM) Calculator | Upper, Lower Control Limit English Español

The sequence of partial sums of the particular sequence is called as a partial sum. It is also called as the running totals and they are used to show the total sum of data as it increases with time (or any other series or progression). This lets you view the total contribution so far of a given measure against time. Here is the online cumulative sum (CUSUM) calculator that helps you to find upper, lower control limit and average run length(ARL) within a blink of an eye.

## Cumulative Sum (CUSUM) Calculation

Target Mean (μ)

The sequence of partial sums of the particular sequence is called as a partial sum. It is also called as the running totals and they are used to show the total sum of data as it increases with time (or any other series or progression). This lets you view the total contribution so far of a given measure against time. Here is the online cumulative sum (CUSUM) calculator that helps you to find upper, lower control limit and average run length(ARL) within a blink of an eye.

#### Formula:

Where, St = Average Run Length, μ = Target Mean, σ = Standard Deviation, k = Reference value, Ci+ = Upper Control Limit (UCL) Ci- = Lower Control Limit (LCL)

CUSUM is a statistical method used for detecting the quality changes and to determine the corrective action on time. Cumulative Sum calculation can be made easier with this cumulative sum (CUSUM) calculator.