54 CHAPTER 2 Exploring Data with Tables and Graphs Relative Frequencies for Comparisons. In Exercises 23 and 24, construct the relative frequency distributions and answer the given questions. 23. Oscar Winners Construct one table (similar to Table 2-5 on page 49) that includes relative frequencies based on the frequency distributions from Exercises 5 and 6, and then compare the ages of Oscar-winning actresses and actors. Are there notable differences? 24. Blood Platelet Counts Construct one table (similar to Table 2-5 on page 49) that includes relative frequencies based on the frequency distributions from Exercises 7 and 8, and then compare them. Are there notable differences? Cumulative Frequency Distributions. In Exercises 25 and 26, construct the cumulative frequency distribution that corresponds to the frequency distribution in the exercise indicated. 25. Exercise 5 (Age of Best Actress When Oscar Was Won) 26. Exercise 6 (Age of Best Actor When Oscar Was Won) Categorical Data. In Exercises 27 and 28, use the given categorical data to construct the relative frequency distribution. 27. Software Piracy Here are the countries with the five highest estimated costs of software piracy: United States ($9.1 billion), China ($8.7 billion), India ($2.7 billion), France ($2.1 billion), United Kingdom ($1.9 billion). Among these five countries, the United States has 37.1% of the cost of piracy. Is it correct to conclude that the United States has 37.1% of the total cost of piracy for all countries? What do these results tell us about the costs of piracy in the other countries not included here? 28. Births Natural births randomly selected from four hospitals in New York State occurred on the days of the week (in the order of Monday through Sunday) with these frequencies: 52, 66, 72, 57, 57, 43, 53. Does it appear that such births occur on the days of the week with equal frequency? Large Data Sets. Exercises 29–34 involve large sets of data, so technology should be used. Complete lists of the data are not listed in Appendix B, but they can be downloaded from the website TriolaStats.com. Use the indicated data and construct the frequency distribution. 29. Los Angeles Commute Time Refer to Data Set 31 “Commute Times” in Appendix B and use the 1000 Los Angeles commute times. Use a class width of 15 minutes and begin with a lower class limit of 0 minutes. How does the frequency distribution compare to Table 2-2? 30. Dallas Commute Time Refer to Data Set 31 “Commute Times” in Appendix B and use the 1000 Dallas commute times. Use a class width of 30 minutes and begin with a lower class limit of 0 minutes. How does the frequency distribution compare to the Boston commute time frequency distribution given for Exercise 1? 31. Systolic Blood Pressure Use the systolic blood pressures of the 300 subjects included in Data Set 1 “Body Data.” Use a class width of 20 mm Hg and begin with a lower class limit of 80 mm Hg. Does the frequency distribution appear to be a normal distribution? 32. Diastolic Blood Pressure Use the diastolic blood pressures of the 300 subjects included in Data Set 1 “Body Data.” Use a class width of 15 mm Hg and begin with a lower class limit of 40 mm Hg. Does the frequency distribution appear to be a normal distribution? 33. Earthquake Magnitudes Use the magnitudes of the 600 earthquakes included in Data Set 24 “Earthquakes.” Use a class width of 0.5 and begin with a lower class limit of 1.00. Does the frequency distribution appear to be a normal distribution? 34. Earthquake Depths Use the depths (km) of the 600 earthquakes included in Data Set 24 “Earthquakes.” Use a class width of 10.0 km and begin with a lower class limit of 0.0 km. Does the frequency distribution appear to be a normal distribution?
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