. The heights (in feet) and the numbers of stories of nine buildings inHouston are

In Exercises 1 and 2, use the data set, which represents the student-to-faculty ratios for 20 public colleges. (Source: Kiplinger) 13 15 15 8 16 20 28 19 18 15 21 23 30 17 10 16 15 16 20 15Construct a frequency distribution for the data set using five classes. Include class limits, midpoints, boundaries, frequencies, relative frequencies, and cumulative frequencies.

In Exercises 1 and 2, use the data set, which represents the student-to-faculty ratios for 20 public colleges. (Source: Kiplinger) 13 15 15 8 16 20 28 19 18 15 21 23 30 17 10 16 15 16 20 15Construct a relative frequency histogram using the frequency distribution in Exercise 1. Then determine which class has the greatest relative frequency and which has the least relative frequency.

In Exercises 3 and 4, use the data set shown in the table at the left, which represents the actual liquid volumes (in ounces) in 24 twelve-ounce cansConstruct a frequency histogram for the data set using seven classes.

In Exercises 3 and 4, use the data set shown in the table at the left, which represents the actual liquid volumes (in ounces) in 24 twelve-ounce cansConstruct a relative frequency histogram for the data set using seven classes.

In Exercises 5 and 6, use the data set, which represents the numbers of rooms reserved during one nights business at a sample of hotels. 153 104 118 166 89 104 100 79 93 96 116 94 140 84 81 96 108 111 87 126 101 111 122 108 126 93 108 87 103 95 129 93 Construct a frequency distribution for the data set with six classes and draw a frequency polygon.

In Exercises 5 and 6, use the data set, which represents the numbers of rooms reserved during one nights business at a sample of hotels. 153 104 118 166 89 104 100 79 93 96 116 94 140 84 81 96 108 111 87 126 101 111 122 108 126 93 108 87 103 95 129 93 Construct an ogive for the data set using six classes

In Exercises 7 and 8, use the data set, which represents the air quality indices for 30 U.S. cities. (Source: AIRNow) 25 35 20 75 10 10 61 89 44 22 34 33 38 30 47 53 44 57 71 20 42 52 48 41 35 59 53 61 65 25

. Use a stem-and-leaf plot to display the data set. Describe any patterns.

Use a pie chart to display the data set. Describe any patterns.In Exercises 9 and 10, use the data set, which represents the results of a survey that asked U.S. adults where they would be at midnight when the new year arrived. (Adapted from Rasmussen Reports) Response At home At friends home At restaurant or bar Somewhere else Not sure Number 620 110 50 100 130

Use a Pareto chart to display the data set. Describe any patterns.In Exercises 9 and 10, use the data set, which represents the results of a survey that asked U.S. adults where they would be at midnight when the new year arrived. (Adapted from Rasmussen Reports) Response At home At friends home At restaurant or bar Somewhere else Not sure Number 620 110 50 100 130

. The heights (in feet) and the numbers of stories of nine buildings in Houston are listed. Use a scatter plot to display the data. Describe any patterns. (Source: Emporis Corporation) Height (in feet) 992 780 762 756 741 732 714 662 579 Number of stories 71 56 53 55 47 53 50 49 40

The U.S. unemployment rates over a 12-year period are listed. Use a time series chart to display the data. Describe any patterns. (Source: U.S. Bureau of Labor Statistics) Year 2001 2002 2003 2004 2005 2006 Unemployment rate 4.7% 5.8% 6.0% 5.5% 5.1% 4.6% Year 2007 2008 2009 2010 2011 2012 Unemployment rate 4.6% 5.8% 9.3% 9.6% 8.9% 8.1%

In Exercises 13 and 14, find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.The vertical jumps (in inches) of a sample of 10 college basketball players at the 2012 NBA Draft Combine (Source: DraftExpress) 24.5 29.5 32.5 28.0 28.5 25.5 34.0 24.5 30.0 31.0

In Exercises 13 and 14, find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.The responses of 1009 adults who were asked whether they would vote for or against a law that would allow undocumented immigrants living in the United States the chance to become legal residents or citizens if they meet certain requirements (Adapted from Gallup) Vote for: 734 Vote against: 255 No opinion: 20

Six test scores are shown below. The first 5 test scores are 15% of the final grade, and the last test score is 25% of the final grade. Find the weighted mean of the test scores. 78 72 86 91 87 80

Four test scores are shown below. The first 3 test scores are 20% of the final grade, and the last test score is 40% of the final grade. Find the weighted mean of the test scores. 96 85 91 86

Estimate the mean of the frequency distribution you made in Exercise 1.

The frequency distribution shows the numbers of magazine subscriptions per household for a sample of 60 households. Find the mean number of subscriptions per household. Number of magazines 0 1 2 3 4 5 6 Frequency 13 9 19 8 5 2 4

Describe the shape of the distribution for the histogram you made in Exercise 3 as symmetric, uniform, skewed left, skewed right, or none of these

Describe the shape of the distribution for the histogram you made in Exercise 4 as symmetric, uniform, skewed left, skewed right, or none of these.

In Exercises 21 and 22, determine whether the approximate shape of the distribution in the histogram is symmetric, uniform, skewed left, skewed right, or none of these.

In Exercises 21 and 22, determine whether the approximate shape of the distribution in the histogram is symmetric, uniform, skewed left, skewed right, or none of these.

For the histogram in Exercise 21, which is greater, the mean or the median? Explain your reasoning.

For the histogram in Exercise 22, which is greater, the mean or the median? Explain your reasoning.

In Exercises 25 and 26, find the range, mean, variance, and standard deviation of the population data set.

The mileages (in thousands of miles) for a rental car companys fleet. 4 2 9 12 15 3 6 8 1 4 14 12 3 3

In Exercises 27 and 28, find the range, mean, variance, and standard deviation of the sample data set.Dormitory room prices (in dollars) for one school year for a random sample of four-year universities 5306 6444 5304 4218 5159 6342 5713 4859 5365 5078 4334 5262 5905 6099 5113

In Exercises 27 and 28, find the range, mean, variance, and standard deviation of the sample data set.Salaries (in dollars) of a random sample of high school teachers 49,632 54,619 58,298 48,250 51,842 50,875 53,219 49,924

In Exercises 29 and 30, use the Empirical Rule. The mean rate for satellite television for a sample of households was $70.00 per month, with a standard deviation of $14.50 per month. Between what two values do 99.7% of the data lie? (Assume the data set has a bell-shaped distribution.)

In Exercises 29 and 30, use the Empirical Rule.The mean rate for satellite television for a sample of households was $72.50 per month, with a standard deviation of $12.50 per month. Estimate the percent of satellite television rates between $60.00 and $85.00. (Assume the data set has a bell-shaped distribution.)

The mean sale per customer for 40 customers at a gas station is $36.00, with a standard deviation of $8.00. Using Chebychevs Theorem, determine at least how many of the customers spent between $20.00 and $52.00.

The mean length of the first 20 space shuttle flights was about 7 days, and the standard deviation was about 2 days. Using Chebychevs Theorem, determine at least how many of the flights lasted between 3 days and 11 days. (Source: NASA)

From a random sample of households, the numbers of televisions are listed. Find the sample mean and the sample standard deviation of the data. Number of televisions 0 1 2 3 4 5 Number of households 1 8 13 10 5 3

From a random sample of airplanes, the numbers of defects found in their fuselages are listed. Find the sample mean and the sample standard deviation of the data. Number of defects 0 1 2 3 4 5 6 Number of airplanes 4 5 2 9 1 3 1

n Exercises 35 and 36, find the coefficient of variation for each of the two data sets. Then compare the results. Sample grade point averages for freshmen and seniors are listed. Freshmen 2.8 1.8 4.0 3.8 2.4 2.0 0.9 3.6 1.8 Seniors 2.3 3.3 1.8 4.0 3.1 2.7 3.9 2.6 2.9

n Exercises 35 and 36, find the coefficient of variation for each of the two data sets. Then compare the results. Sample grade point averages for freshmen and seniors are listed. Freshmen 2.8 1.8 4.0 3.8 2.4 2.0 0.9 3.6 1.8 Seniors 2.3 3.3 1.8 4.0 3.1 2.7 3.9 2.6 2.9

In Exercises 37 40, use the data set, which represents the fuel economies (in highway miles per gallon) of several Harley-Davidson motorcycles. (Source: Total Motorcycle) 53 57 60 57 54 53 54 53 54 42 48 53 47 47 50 48 42 42 54 54 60 Find the five-number summary of the data set.

In Exercises 37 40, use the data set, which represents the fuel economies (in highway miles per gallon) of several Harley-Davidson motorcycles. (Source: Total Motorcycle) 53 57 60 57 54 53 54 53 54 42 48 53 47 47 50 48 42 42 54 54 60 . Find the interquartile range of the data set.

In Exercises 37 40, use the data set, which represents the fuel economies (in highway miles per gallon) of several Harley-Davidson motorcycles. (Source: Total Motorcycle) 53 57 60 57 54 53 54 53 54 42 48 53 47 47 50 48 42 42 54 54 60 Draw a box-and-whisker plot that represents the data set.

In Exercises 37 40, use the data set, which represents the fuel economies (in highway miles per gallon) of several Harley-Davidson motorcycles. (Source: Total Motorcycle) 53 57 60 57 54 53 54 53 54 42 48 53 47 47 50 48 42 42 54 54 60 About how many motorcycles fall on or below the third quartile

Find the interquartile range of the data set from Exercise 13.

. The weights (in pounds) of the defensive players on a high school football team are shown below. Draw a box-and-whisker plot that represents the data set and describe the shape of the distribution. 173 145 205 192 197 227 156 240 172 185 208 185 190 167 212 228 190 184 195

. A students test grade of 75 represents the 65th percentile of the grades. What percent of students scored higher than 75?

As of March 2013, there were 665 oldies radio stations in the United States. One station finds that 106 stations have a larger daily audience than it has. What percentile does this station come closest to in the daily audience rankings? (Source: Radio-Locator.com)

The towing capacities (in pounds) of all the pickup trucks at a dealership have a bell-shaped distribution, with a mean of 11,830 pounds and a standard deviation of 2370 pounds. In Exercises 45 48, (a) transform the towing capacity to a z-score, (b) interpret the results, and (c) determine whether the towing capacity is unusual.16,500 pounds

The towing capacities (in pounds) of all the pickup trucks at a dealership have a bell-shaped distribution, with a mean of 11,830 pounds and a standard deviation of 2370 pounds. In Exercises 45 48, (a) transform the towing capacity to a z-score, (b) interpret the results, and (c) determine whether the towing capacity is unusual.5500 pounds

The towing capacities (in pounds) of all the pickup trucks at a dealership have a bell-shaped distribution, with a mean of 11,830 pounds and a standard deviation of 2370 pounds. In Exercises 45 48, (a) transform the towing capacity to a z-score, (b) interpret the results, and (c) determine whether the towing capacity is unusual.18,000 pound

The towing capacities (in pounds) of all the pickup trucks at a dealership have a bell-shaped distribution, with a mean of 11,830 pounds and a standard deviation of 2370 pounds. In Exercises 45 48, (a) transform the towing capacity to a z-score, (b) interpret the results, and (c) determine whether the towing capacity is unusual.11,300 pounds