SECTION 2.4 Measures of Variation 95 20. Salary Offers You are applying for jobs at two...

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SECTION 2.4 Measures of Variation 95 20. Salary Offers You are applying for jobs at two companies. Company C offers starting salaries with $59,000 and a $1500. Company D offers starting salaries with $59,000 and or $1000. From which company are you more likely to get an offer of $62,000 or more? Explain your reasoning. Graphical Analysis In Exercises 21-24, you are asked to compare three data sets. (a) Without calculating, determine which data set has the greatest sample standard deviation and which has the least sample standard deviation. Explain your reasoning. (b) How are the data sets the same? How do they differ? (c) Estimate the sample standard deviations. Then determine how close each of your estimates is by finding the sample standard deviations. 21. (i) (ii) (iii) 22. (i) Frequency 10 11 12 13 14 10 11 12 13 14 10 11 12 13 14 Frequency (iii) Aouonbaua 4 5 6 7 8 9 10 Data entry 4 5 6 7 8 9 10 Data entry 45678910 Data entry 23. (i) 0 9 1 58 3377 2 3 25 (ii) 0 9 15 24. (i) 4 1 Key: 1/5 15 2 3 3 3 7 77 3 5 (iii) o 15 2 3 3 3 3 7777 35 4 1 Key: 15 15 Key: 1/5 = 15 (ii) (iii) 123 4 5 78 1 2 3 4 5 6 7 8 12 3 4 5 678 Constructing Data Sets In Exercises 25-28, construct a data set that has the given statistics. 25. N = 6 = 5 2 27. n = 7 x=9 s = 0 26. N = 8 = 6 = 3 28. n = 6 x=7 S 2 SECTION 2.4 Measures of Variation 95 20. Salary Offers You are applying for jobs at two companies. Company C offers starting salaries with $59,000 and a $1500. Company D offers starting salaries with $59,000 and or $1000. From which company are you more likely to get an offer of $62,000 or more? Explain your reasoning. Graphical Analysis In Exercises 21-24, you are asked to compare three data sets. (a) Without calculating, determine which data set has the greatest sample standard deviation and which has the least sample standard deviation. Explain your reasoning. (b) How are the data sets the same? How do they differ? (c) Estimate the sample standard deviations. Then determine how close each of your estimates is by finding the sample standard deviations. 21. (i) (ii) (iii) 22. (i) Frequency 10 11 12 13 14 10 11 12 13 14 10 11 12 13 14 Frequency (iii) Aouonbaua 4 5 6 7 8 9 10 Data entry 4 5 6 7 8 9 10 Data entry 45678910 Data entry 23. (i) 0 9 1 58 3377 2 3 25 (ii) 0 9 15 24. (i) 4 1 Key: 1/5 15 2 3 3 3 7 77 3 5 (iii) o 15 2 3 3 3 3 7777 35 4 1 Key: 15 15 Key: 1/5 = 15 (ii) (iii) 123 4 5 78 1 2 3 4 5 6 7 8 12 3 4 5 678 Constructing Data Sets In Exercises 25-28, construct a data set that has the given statistics. 25. N = 6 = 5 2 27. n = 7 x=9 s = 0 26. N = 8 = 6 = 3 28. n = 6 x=7 S 2