Final Answer:
When monitoring a process distribution, both the mean (average) and the standard deviation must be tracked. The mean provides information about the central tendency, while the standard deviation indicates the variability or dispersion of data points.
Step-by-step explanation:
In statistical analysis and process monitoring, understanding the central tendency and variability is crucial. The mean represents the average value of a dataset, providing insight into the typical value or central point around which the data cluster. It's a reference point that helps to understand the general trend or expected outcome in a distribution.
However, tracking only the mean can be insufficient. The standard deviation complements the mean by showcasing the spread or dispersion of data points around the mean. It gives an idea of how much individual data points deviate from the average.
A larger standard deviation indicates greater variability among data points, while a smaller one suggests that the data points are closer to the mean. Thus, monitoring the standard deviation alongside the mean helps to grasp the distribution's consistency and the extent of variations within the dataset.
Therefore, both the mean and the standard deviation are essential parameters when observing and analyzing a process distribution. While the mean provides information about the central value, the standard deviation offers insights into the dispersion or variability of the data points, collectively enabling a comprehensive understanding of the distribution's characteristics.
Complete Question
When monitoring a process distribution, both the ___________ and the _________ must be tracked.