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Statistical Process Control 2. Sample Versus Population Exercises For the 125 data points on Sample Data Sheet 2 (Figure 1-34), calculate: 1. The average and standard deviation of the 125 values. 2. The sample average and range of the 25 subgroups of 5 values each. 3. The average of the averages from Step 2 and the standard deviation of the subgroup average. Compare them to the values calculated in Step 1. 4. Construct histograms of the individual values and of the sample averages using the blank graph paper provided with Figure 134). Note the similarities and differences between the two. (Note: A histogram of the individual values was done in Section D on the Display/Distribution of Data.) H. CONTROL CHARTS The Control Chart is one of the most important tools of SPC. Control charts are simple, yet powerful tools for checking the stability of a process over time, as well as verifying the results of any improvement actions taken. Remember: The measured quality of any manufactured product is subject to a certain amount of variation as the result of chance. A stable “system of chance causes” is inherent in any scheme of production and inspection. This variation is unavoidable as long as the production and inspection system remain unchanged. However, causes of variation outside this stable pattern can be discovered and corrected. The power of the control chart is in its ability to separate these assignable causes of quality variation from inherent, unavoidable causes. AIDT - Statistical Process Control - October 5, 2006 71