Activity 3.9 Statistics Quality
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Procedure
In this activity you will collect data and then perform a statistical analysis to estimate measures of central tendency and variation of a product (wooden cubes). You will represent the data using a histogram, establish criteria for an acceptable size of the product, and use the Empirical Rule to eliminate product samples that are outside an acceptable range. Conclusion 1. You have calculated statistics related to your 27 wooden cubes. Consider how your statistical analysis results would change if all of the data values for all of the cubes measured by all of the students in your class were compiled and used for analysis. Then answer the following questions. a. How would the histogram of the entire class’ data change compared to your histogram? The histogram of my data will change compared to the entire class because it would be more trials which means it will be the sample STDV will change b. What value would you expect for the mean of the length measurements if the data from the entire class were used? Explain. I expect the mean of the length measurements to be around the same ,not much change if the entire class data is added, because there was not much difference with just my data c. Would you expect the standard deviation of the class’ measurements be larger, smaller, or about the same as the standard deviation of your measurements? Why? I expect the class standard deviation to the smaller because data we have it continues to get smaller 2. In which phase(s) of a design process might statistics be most useful? Why? Planning the phase is most applicable. There is also the matter of attempting to build and how well it will handle itself. 3. How can statistics of a product’s dimensions be used to assess the quality of the product? It can show if the product is in stable condition and equal measurable condition. |