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Which chart recalculates the mean with each new value in a set?

  1. Moving range

  2. Moving average

  3. X and s

  4. c

The correct answer is: Moving average

The moving average chart is designed to recalculate the mean of a dataset as new values are added. This type of chart helps smooth out fluctuations in the data and provides a clearer view of trends by averaging a specified number of recent points. As new data comes in, the moving average updates to reflect the latest values, thus continuously providing a dynamic representation of the average over the selected interval. This methodology is particularly beneficial in quality control and performance monitoring, as it allows teams to adapt to changes quickly and make informed decisions based on the most current information. The resulting graph is often used to identify overall trends in data rather than being influenced by sporadic variations. In contrast, the moving range chart focuses on the variability between successive measurements, the X and s chart deals with individual measurements and their standard deviations for process control, and the c chart is specifically for counting the number of defects per unit in a constant sample size, making them less appropriate for the context of recalculating the mean with each new value.