Hint: Use this chart to determine the Upper Control Limit (UCL) and Lower Control Limit (LCL) for an Xbar-S chart. Mean and Standard Deviation (Xbar-S) chart is used when you have Continuous data with a Sample Size of greater than eight

Grand Mean (x-bar-bar)

Calculate individual average of the observations for each time period. Then calculate the grand mean i.e average of averages

Average Standard Deviation

Calculate Standard Deviation of each time period. Then calculate the average standard deviation i.e average of all standard deviations

Sample Size (between 9 and 25)

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Lower Control Limit (LCL) for Sample Mean Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Upper Control Limit (UCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Lower Control Limit (LCL) for Sample Standard Deviation Chart

Control Limits Not Applicable

Control Limits cannot be calculated since a negative average standard deviation was entered. Enter a value greater than zero

Use Xbar-R Chart or I-MR Chart

Since the number of observations in each sub-group is less than nine, it is recommended to use a Xbar-R chart (if number of observations are between two to eight) or I-MR chart (if number of observation is one)

Incorrect number of observations

Please enter an integer between nine to twenty five