How to Calculate the Upper Control Limit with a Formula in Excel – 4 Steps

The general formula to determine the upper control limit is:

UCL = Average + (3*Standard Deviation)

 

STEP 1-  Enter Sample Data to calculate the Upper Control Limit

  • Data was entered in the Sample Data column.

Including Sample Data for Upper Control Limit Calculation with formula in excel


STEP 2 – Determine the Average of Sample Data

  • Enter the following formula in D5.
=AVERAGE($C$5:$C$14)

Determining average of sample data to find upper control limit with formula

Note: A fixed cell reference was used in the formula. Press Alt + F4 to make a cell reference fixed.
  • Drag down the Fill Handle to see the result in the rest of the cells.

Using Fill Handle to copy formula


STEP 3 – Find the Standard Deviation

  • Enter the following formula in C16.
=STDEV.S($C$5:$C$14)

Finding Standard Deviation to calculate upper control limit with formula


STEP 4 – Calculate the Upper Control Limit with a Formula

  • Enter the following formula in E5 and press Enter.
=D5+3*$C$16
  • The upper control limit is displayed in E5.
  • Drag down the Fill Handle to see the result in the rest of the cells.

Calculating Upper Control Limit with Formula


How to Determine LCL with UCL and Create a Chart

Calculate the upper control limit following the previous steps.

  • Enter the following formula in F5 to get the lower control limit.
=D5-3*$C$16
  • Drag down the Fill Handle to see the result in the rest of the cells.

Determining LCL

Note: In the formula for the lower control limit 3*Standard Deviation was subtracted from the Average.
  • Select the whole dataset.

Selecting Data for chart

  • Go to the Insert tab and select Line or Area Chart > 2-D > Line.

Applying option from ribbon

  • The line chart is displayed. Name it.

Primary Chart

  • Select any data point in the line chart and right-click it.
  • Select Add Data Label.

Adding data label

  • Add other Data Labels.

Final chart with UCL and LCL


Download Practice Workbook

Download the practice workbook here.


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