Other than central tendency, the other important parameter to describe a set of data is spread or dispersion. Three main measures of dispersion are range, variance, and standard deviation. Another tool use for comparative analysis is coefficient of variation 1. Calculate the range of the following data set Day Production 1 700 2 850 3 600 4 575 5 450 6 900 7 300 2. Using the table of data above, calculate the variance. Consider the data set as a population 2. Using the table above, calculate the standard deviation Consider the data set as a population 4. A sample of 100 students was taken to compare their income and expenditure on books. The standard deviations and means are summarized in the table below. How do the relative dispersions for incom and expenditure on books compare. Statistics Expenditure on Mean 70 Std Dev 15 00 Income 15) 750 books S. Procene capability analysis the specified limits for a product are 75 for the upper limits and 69 for the lower limit with a standard deviation of 179. Find Co. What can we say about the procese capabilitie 6. You are the process improvement manager and have developed a new machine to cut insoles for the company's top of the line running shoes you are excited because the company's goal is no more than 34 defects per million ad this machine may be the innovation you need. The insoles cannot be more than 0.001 of an inch from the required thickness of 0.250 inches. You want to know if you should replace the existing machine which has apk of 10 The mean of the new process is 0.250 inches. The standard deviation of the new process is 0.00 inches Determine the pk of the new machine and make a decision on that basis. Other than central tendency, the other important parameter to describe a set of data is spread or dispersion. Three main measures of dispersion are range, variance, and standard deviation. Another tool use for comparative analysis is coefficient of variation 1. Calculate the range of the following data set Day Production 1 700 2 850 3 600 4 575 5 450 6 900 7 300 2. Using the table of data above, calculate the variance. Consider the data set as a population 2. Using the table above, calculate the standard deviation Consider the data set as a population 4. A sample of 100 students was taken to compare their income and expenditure on books. The standard deviations and means are summarized in the table below. How do the relative dispersions for incom and expenditure on books compare. Statistics Expenditure on Mean 70 Std Dev 15 00 Income 15) 750 books S. Procene capability analysis the specified limits for a product are 75 for the upper limits and 69 for the lower limit with a standard deviation of 179. Find Co. What can we say about the procese capabilitie 6. You are the process improvement manager and have developed a new machine to cut insoles for the company's top of the line running shoes you are excited because the company's goal is no more than 34 defects per million ad this machine may be the innovation you need. The insoles cannot be more than 0.001 of an inch from the required thickness of 0.250 inches. You want to know if you should replace the existing machine which has apk of 10 The mean of the new process is 0.250 inches. The standard deviation of the new process is 0.00 inches Determine the pk of the new machine and make a decision on that basis