In industrial
statistics, the X-bar chart is a type of
control chart that is used to monitor the
arithmetic means of successive samples of constant size, n. This type of control chart is used for characteristics that can be measured on a continuous scale, such as weight, temperature, thickness etc.For the purposes of
control limit calculation, the sample means are assumed to be
normally distributed, an assumption justified by the
Central Limit Theorem.The X-bar chart is often used in conjunction with a variation chart such as the R-chart or s-chart. The average sample range, R, or the average sample
standard deviation, s, can be used to derive the X-bar chart's control limits.
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