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Chapter 3: Q28 (page 126)
In Exercises 21鈥�28, use the same list of Sprint airport data speeds (Mbps) given for Exercises 17鈥�20. Find the indicated percentile or quartile.
P85
The data speed equal to 8.2 Mbpscorresponds to the 85th percentile
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Chebyshev鈥檚 Theorem Based on Data Set 1 鈥淏ody Data鈥� in Appendix B, blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.4. (All units are 1000 cells>L.) Using Chebyshev鈥檚 theorem, what do we know about the percentage of women with platelet counts that are within 3 standard deviations of the mean? What are the minimum and maximum platelet counts that are within 3 standard deviations of the mean?
In Exercises 17鈥�20, use the following cell phone airport data speeds (Mbps) from Sprint. Find the percentile corresponding to the given data speed.
0.2 0.3 0.3 0.3 0.3 0.3 0.3 0.4 0.4 0.4 0.5 0.5 0.5 0.5 0.5 0.6 0.6 0.7 0.8 1.0 1.1 1.1 1.2 1.2 1.6 1.6 2.1 2.1 2.3 2.4 2.5 2.7 2.7 2.7 3.2 3.4 3.6 3.8 4.0 4.0 5.0 5.6 8.2 9.6 10.6 13.0 14.1 15.1 15.2 30.4
13.0 Mbps
In Exercises 5鈥�20, find the range, variance, and standard deviation for the given sample data. Include appropriate units (such as 鈥渕inutes鈥�) in your results. (The same data were used in Section 3-1, where we found measures of centre. Here we find measures of variation.) Then answer the given questions.
Sales of LP Vinyl Record Albums Listed below are annual U.S. sales of vinyl record albums (millions of units). The numbers of albums sold are listed in chronological order, and the last entry represents the most recent year. Do the measures of variation give us any information about a changing trend over time?
0.3 0.6 0.8 1.1 1.1 1.4 1.4 1.5 1.2 1.3 1.4 1.2 0.9 0.9 1.0 1.9 2.5 2.8 3.9 4.6 6.1
In Exercises 21鈥�24, find the mean and median for each of the two samples, then compare the two sets of results.
Blood Pressure A sample of blood pressure measurements is taken from Data Set 1 鈥淏ody Data鈥� in Appendix B, and those values (mm Hg) are listed below. The values are matched so that 10 subjects each have systolic and diastolic measurements. (Systolic is a measure of the
force of blood being pushed through arteries, but diastolic is a measure of blood pressure when the heart is at rest between beats.) Are the measures of center the best statistics to use with these data? What else might be better?
Systolic: 118 128 158 96 156 122 116 136 126 120
Diastolic: 80 76 74 52 90 88 58 64 72 82
In Exercises 29鈥�32, find the mean of the data summarized in the frequency distribution. Also, compare the computed means to the actual means obtained by using the original list of data values, which are as follows: (Exercise 29) 36.2 years; (Exercise 30) 44.1 years; (Exercise 31) 224.3; (Exercise 32) 255.1..
Age (year) of Best Actor when Oscar was won | Frequency |
20鈥�29 | 1 |
30鈥�39 | 28 |
40鈥�49 | 36 |
50鈥�59 | 15 |
60鈥�69 | 6 |
70鈥�79 | 1 |
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