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Explain the difference between attribute control charts and variable control charts.

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Final answer:

Attribute control charts are used for categorical data, while variable control charts are for numerical data measured on a continuous scale. This distinction allows for appropriate monitoring of different types of quality characteristics in manufacturing and other processes.

Step-by-step explanation:

The difference between attribute control charts and variable control charts lies in the type of data they monitor and analyze. Attribute control charts are used for data that can be categorized and counted, such as the number of defective items or the presence of an attribute such as color or shape. These charts are typically used for quality control in manufacturing when products are either 'good' or 'bad' with no in-between.

On the other hand, variable control charts are used for data that can be measured on a continuous scale, such as weight, size, or temperature. These charts can provide more detailed information and are useful in situations where the quality characteristic is numerical and more granular monitoring is required.

Both types of charts plot data points over time against control limits to determine whether a process is stable or whether there are out-of-control conditions that need to be addressed.

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