Chapter 3: Describing, Exploring and Comparing Data
Q2
Histogram Use the frequency distribution from Exercise 1 to construct a histogram. Use class midpoint values for the horizontal scale.
Q2
USA Today published a list consisting of the state tax on each gallon of gas. If we add the 50 state tax amounts and then divide by 50, we get 27.3 cents. Is the value of 27.3 cents the mean amount of state sales tax paid by all U.S. drivers? Why or why not?
Q2
Sleep Median What is the median of the sample values listed in Exercise 1?
Q20
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
9.6 Mbps
Q20
: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 center. Here we find measures of variation.) Then answer the given questions.
Speed Dating In a study of speed dating conducted at Columbia University, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1 = not attractive; 10 = extremely attractive). Can the results be used to describe the variation among attractiveness ratings for the population of adult males?
5 8 3 8 6 10 3 7 9 8 5 5 6 8 8 7 3 5 5 6 8 7 8 8 8 7
Q20
Critical Thinking. For Exercises 5鈥20, watch out for these little buggers. Each of these exercises involves some feature that is somewhat tricky. Find the (a) mean, (b) median, (c) mode, (d) midrange, and then answer the given question
Speed Dating In a study of speed dating conducted at Columbia University, female subjects were asked to rate the attractiveness of their male dates, and a sample of the results is listed below (1 = not attractive; 10 = extremely attractive). Can the results be used to describe the attractiveness of the population of adult males?
5 8 3 8 6 10 3 7 9 8 5 5 6 8 8 7 3 5 5 6 8 7 8 8 8 7
Q21
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
Q21
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.
P60
Q21
In Exercises 21鈥24, find the coefficient of variation for each of the two samples; then compare the variation. (The same data were used in Section 3-1.) 21. 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 a systolic and diastolic measurement.
Systolic: 118 128 158 96 156 122 116 136 126 120
Diastolic: 80 76 74 52 90 88 58 64 72 82
Q22
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.
Q1