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X bar, x̄ (or X̄) or X-bar may refer to: X-bar theory, a component of linguistic theory; Arithmetic mean, a commonly used type of average; An X-bar, a rollover protection structure; Roman numeral 10,000 in vinculum form
The X-bar chart is always used in conjunction with a variation chart such as the ¯ and R chart or ¯ and s chart. The R-chart shows sample ranges (difference between the largest and the smallest values in the sample), while the s-chart shows the samples' standard deviation. The R-chart was preferred in times when calculations were performed ...
The arithmetic mean of a series of values ,, …, is often denoted by placing an "overbar" over the symbol, e.g. ¯, pronounced "bar". Some commonly used symbols for sample statistics are given below: the sample mean ¯,
¯ ¯ for monitoring the process mean where x ¯ {\displaystyle {\bar {x}}} and s ¯ = ∑ i = 1 m s i m {\displaystyle {\bar {s}}={\frac {\sum _{i=1}^{m}s_{i}}{m}}} are the estimates of the long-term process mean and range established during control-chart setup and A 3 , B 3 , and B 4 are sample size-specific anti-biasing constants.
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
¯ = sample mean of differences d 0 {\displaystyle d_{0}} = hypothesized population mean difference s d {\displaystyle s_{d}} = standard deviation of differences
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¯ ¯ ¯ for monitoring the process mean where x ¯ ¯ {\displaystyle {\bar {\bar {x}}}} and R ¯ {\displaystyle {\bar {R}}} are the estimates of the long-term process mean and range established during control-chart setup and A 2 , D 3 , and D 4 are sample size-specific anti-biasing constants.