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University of Wisconsin, Milwaukee *

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CME200

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Statistics

Date

Feb 20, 2024

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33 Write the basic formulas for Population Variance, Population Standard Deviation. o Ans: Write the basic formulas for Sample Variance and Sample Standard Deviation o Ans: What does the Standard Deviation of a data set tell us? o Ans: Using the data in Example 3-6 and the basic formula on P. 99, calculate the Sample Standard Deviation. You will need to calculate the mean of the data set, subtract that mean from each observation, square each of those differences, and plug that sum into the numerator of the formula. Show all work. Why did you have to square the differences in the example you did above? Try adding the differences without squaring them first and see what happens. Also see Table 3.5 on P. 99. Write the Short-Cut formulas for Population Standard Deviation and Sample Standard Deviation. o Ans: Do the work for Example 3-14 on PP. 100-101 and show the work. Do the work for Example 3-15 on P. 102 and show the work. What are the Two Observations about Standard Deviation listed in bold on PP. 101-102? o Ans: What is Coefficient of Variation of a data set? Why is it sometimes preferable to use instead of Standard Deviation? o Ans: Show each of the formulas for Coefficient of Variation. o Ans: Do Example 3-16 and interpret the results. o Ans: What is the difference between a Parameter and a Statistic? o Ans: Mean, Variance, and Standard Deviation for Grouped Data: Read this section and answer the following questions. What are the formulas for Mean of Grouped Data, for a population, and for a sample? o Ans: Do the work for Examples 3-17 and 3-18 and show that work.

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