Xbar-R chart

Plots the process mean (Xbar chart) and process range (R chart) over time for variables data in subgroups. This combination control chart is widely used to examine the stability of processes in many industries. For example, you can use Xbar-R charts to examine the process mean and variation for subgroups of part lengths, call times, or hospital patients' blood pressure over time.

The Xbar and R chart are displayed together because you should interpret both charts to determine if your process is stable. Examine the R chart first. The process variation must be in control to correctly interpret the Xbar chart because the control limits of the Xbar chart are calculated considering both process spread and center. If the R is out of control, then the control limits on the Xbar chart may be inaccurate and may falsely indicate an out-of-control condition.

Consider the below Xbar-R chart. A plastic manufacturer wants to assess if its production process is in control for one of its new products. They sample 5 products every hour for 20 hours and assess the strength of the plastic.

The points vary randomly  around the center line and are within the control limits for both charts. No trends or patterns are shown. The strength of the plastic product is stable across the 20 subgroups.

Use the Xbar-R chart when your subgroup size is eight or less. Use the Xbar-S chart when your subgroup size is nine or more.