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In statistical process control (SPC), the ¯ and R chart is a type of scheme, popularly known as control chart, used to monitor the mean and range of a normally distributed variables simultaneously, when samples are collected at regular intervals from a business or industrial process. [1]
The moving ranges involved are serially correlated so runs or cycles can show up on the moving average chart that do not indicate real problems in the underlying process. [ 2 ] : 237 In some cases, it may be advisable to use the median of the moving range rather than its average, as when the calculated range data contains a few large values ...
The terms sounding range, written range, designated range, duration range and dynamic range have specific meanings. The sounding range [ 3 ] refers to the pitches produced by an instrument, while the written range [ 3 ] refers to the compass (span) of notes written in the sheet music, where the part is sometimes transposed for convenience.
Vocal range plays such an important role in classifying singing voices into voice types that sometimes the two terms are confused with one another. A voice type is a particular kind of human singing voice perceived as having certain identifying qualities or characteristics; vocal range being only one of those characteristics.
The above eight rules apply to a chart of a variable value. A second chart, the moving range chart, can also be used but only with rules 1, 2, 3 and 4. Such a chart plots a graph of the maximum value - minimum value of N adjacent points against the time sample of the range.
Control charts are graphical plots used in production control to determine whether quality and manufacturing processes are being controlled under stable conditions. (ISO 7870-1) [1] The hourly status is arranged on the graph, and the occurrence of abnormalities is judged based on the presence of data that differs from the conventional trend or deviates from the control limit line.
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 ...
A range table was a list of angles of elevation a particular artillery gun barrel needed to be set to, to strike a target at a particular distance with a projectile of a particular weight using a propellant cartridge of a particular weight.