Describe the similarities and differences of qualitative and quantitative variables

Alexandra Damonte will be building a new resort in Myrtle Beach, South Carolina. She must decide how to design the resort based on the type of activities that the resort will offer to its customers. A recent poll of 300 potential customers showed the following results about customers’ preferences for planned resort activities: a. What is the table called? b. Draw a bar chart to portray the survey results. c. Draw a pie chart for the survey results. d. If you are preparing to present the results to Ms. Damonte as part of a report, which graph would you prefer to show? Why?

Speedy Swift is a package delivery service that serves the greater Atlanta, Georgia, metropolitan area. To maintain customer loyalty, one of Speedy Swift’s performance objectives is on-time delivery. To monitor its performance, each delivery is measured on the following scale: early (package delivered before the promised time), on-time (package delivered within 15 minutes of the promised time), late (package delivered more than 15 minutes past the promised time), or lost (package never delivered). Speedy Swift’s objective is to deliver 99% of all packages either early or on-time. Speedy collected the following data for last month’s performance: a. What kind of variable is delivery performance? What scale is used to measure delivery performance? b. Construct a frequency table for delivery performance for last month. c. Construct a relative frequency table for delivery performance last month. d. Construct a bar chart of the frequency table for delivery performance for last month. e. Construct a pie chart of on-time delivery performance for last month. f. Write a memo reporting the results of the analyses. Include your tables and graphs with written descriptions of what they show. Conclude with a general statement of last month’s delivery performance as it relates to Speedy Swift’s performance objectives.

The following is the number of minutes to commute from home to work for a group of 25 automobile executives. a. How many classes would you recommend? b. What class interval would you suggest? c. What would you recommend as the lower limit of the first class? d. Organize the data into a frequency distribution. e. Comment on the shape of the frequency distribution.

The following data give the weekly amounts spent on groceries for a sample of 45 households. a. How many classes would you recommend? b. What class interval would you suggest? c. What would you recommend as the lower limit of the first class? d. Organize the data into a frequency distribution.

A social scientist is studying the use of iPods by college students. A sample of 45 students revealed they played the following number of songs yesterday. Organize the information into a frequency distribution. a. How many classes would you suggest? b. What is the most suitable class interval? c. What is the lower limit of the initial class? d. Create the frequency distribution. e. Describe the shape of the distribution.

David Wise handles his own investment portfolio and has done so for many years. Listed below is the holding time (recorded to the nearest whole year) between purchase and sale for his collection of 36 stocks. a. How many classes would you propose? b. What class interval would you suggest? c. What quantity would you use for the lower limit of the initial class? d. Using your responses to parts (a), (b), and (c), create a frequency distribution. e. Describe the shape of the frequency distribution.

You are exploring the music in your iTunes library. The total play counts over the past year for the 27 songs on your “smart playlist” are shown below. Make a frequency distribution of the counts and describe its shape. It is often claimed that a small fraction of a person’s songs will account for most of their total plays. Does this seem to be the case here?

The monthly issues of the Journal of Finance are available on the Internet. The table below shows the number of times an issue was downloaded over the last 33 months. Suppose that you wish to summarize the number of downloads with a frequency distribution. a. How many classes would you propose? b. What class interval would you suggest? c. What quantity would you use for the lower limit of the initial class? d. Using your responses to parts (a), (b), and (c), create a frequency distribution. e. Describe the shape of the frequency distribution.

The following histogram shows the scores on the first exam for a statistics class. a. How many students took the exam? b. What is the class interval? c. What is the class midpoint for the first class? d. How many students earned a score of less than 70?

The following chart summarizes the selling price of homes sold last month in the Sarasota, Florida, area. a. What is the chart called? b. How many homes were sold during the last month? c. What is the class interval? d. About 75% of the houses sold for less than what amount? e. One hundred seventy-five of the homes sold for less than what amount?

A chain of sport shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a beginning skier spends on his or her initial purchase of equipment and supplies. Based on these figures, it wants to explore the possibility of offering combinations, such as a pair of boots and a pair of skis, to induce customers to buy more. A sample of 44 cash register receipts revealed these initial purchases: a. Arrive at a suggested class interval. b. Organize the data into a frequency distribution using a lower limit of $70. c. Interpret your findings.

The numbers of outstanding shares for 24 publicly traded companies are listed in the following table. a. Using the number of outstanding shares, summarize the companies with a frequency distribution. b. Display the frequency distribution with a frequency polygon. c. Create a cumulative frequency distribution of the outstanding shares. d. Display the cumulative frequency distribution with a cumulative frequency polygon. e. Based on the cumulative relative frequency distribution, 75% of the companies have less than what number of outstanding shares? f. Write a brief analysis of this group of companies based on your statistical summaries of number of outstanding shares.

A recent survey showed that the typical American car owner spends $2,950 per year on operating expenses. Below is a breakdown of the various expenditure items. Draw an appropriate chart to portray the data and summarize your findings in a brief report.

Midland National Bank selected a sample of 40 student checking accounts. Below are their end-of-the-month balances. a. Tally the data into a frequency distribution using $100 as a class interval and $0 as the starting point. b. Draw a cumulative frequency polygon. c. The bank considers any student with an ending balance of $400 or more a “preferred customer.” Estimate the percentage of preferred customers. d. The bank is also considering a service charge to the lowest 10% of the ending balances. What would you recommend as the cutoff point between those who have to pay a service charge and those who do not?

A recent study of home technologies reported the number of hours of personal computer usage per week for a sample of 60 persons. Excluded from the study were people who worked out of their home and used the computer as a part of their work. a. Organize the data into a frequency distribution. How many classes would you suggest? What value would you suggest for a class interval? b. Draw a histogram. Describe your results.

Merrill Lynch recently completed a study regarding the size of online investment portfolios (stocks, bonds, mutual funds, and certificates of deposit) for a sample of clients in the 40 up to 50 years old age group. Listed following is the value of all the investments in thousands of dollars for the 70 participants in the study. a. Organize the data into a frequency distribution. How many classes would you suggest? What value would you suggest for a class interval? b. Draw a histogram. Financial experts suggest that this age group of people have at least five times their salary saved. As a benchmark, assume an investment portfolio of $500,0

Refer to the following chart: a. What is the name given to this type of chart? b. Suppose that 1,000 graduates will start a new job shortly after graduation. Estimate the number of graduates whose first contact for employment occurred through networking and other connections. c. Would it be reasonable to conclude that about 90% of job placements were made through networking, connections, and job posting websites? Cite evidence.

The following chart depicts the annual revenues, by type of tax, for the state of Georgia. a. What percentage of the state revenue is accounted for by sales tax and individual income tax? b. Which category will generate more revenue: corporate taxes or license fees? c. The total annual revenue for the state of Georgia is $6.3 billion. Estimate the amount of revenue in billions of dollars for sales taxes and for individual taxes.

In 2016, the United States exported a total of $266 billion worth of products to Canada. The five largest categories were: a. Use a software package to develop a bar chart. b. What percentage of the United States’ total exports to Canada is represented by the two categories Machinery and Electrical Machinery? c. What percentage of the top five exported products do Machinery and Electrical Machinery represent?

In the United States, the industrial revolution of the early 20th century changed farming by making it more efficient. For example, in 1910, U.S. farms used 24.2 million horses and mules and only about 1,000 tractors. By 1960, 4.6 million tractors were used and only 3.2 million horses and mules. An outcome of making farming more efficient is the reduction of the number of farms from over 6 million in 1920 to about 2.2 million farms today. Listed below is the number of farms, in thousands, for each of the 50 states. Summarize the data and write a paragraph that describes your findings.

The number of families who used the Minneapolis YWCA day care service was recorded during a 30-day period. The results are as follows: a. Construct a cumulative frequency distribution. b. Sketch a graph of the cumulative frequency polygon. c. How many days saw fewer than 30 families utilize the day care center? d. Based on cumulative relative frequencies, how busy were the highest 80% of the days?

Consider these data on the selling prices ($000) of homes in the city of Warren, Pennsylvania, last year a. What is the class interval? b. How many homes were sold last year? c. How many homes sold for less than $210,000? d. What is the relative frequency for the $210 up to $240 class? e. What is the midpoint of the $150 up to $180 class? f. What were the maximum and minimum selling prices? g. Construct a histogram of these data. h. Make a frequency polygon of these data.

Describe the similarities and differences of qualitative and quantitative variables. Be sure to include the following: a. What level of measurement is required for each variable type? b. Can both types be used to describe both samples and populations?

Describe the similarities and differences between a frequency table and a frequency distribution. Be sure to include which requires qualitative data and which requires quantitative data.

A data set consists of 83 observations. How many classes would you recommend for a frequency distribution?

A data set consists of 145 observations that range from 56 to 490. What size class interval would you recommend?

Residents of the state of South Carolina earned a total of $69.5 billion in adjusted gross income. Seventy-three percent of the total was in wages and salaries; 11% in dividends, interest, and capital gains; 8% in IRAs and taxable pensions; 3% in business income pensions; 2% in Social Security; and the remaining 3% from other sources. Develop a pie chart depicting the breakdown of adjusted gross income. Write a paragraph summarizing the information.

A total of 5.9% of the prime-time viewing audience watched shows on ABC, 7.6% watched shows on CBS, 5.5% on Fox, 6.0% on NBC, 2.0% on Warner Brothers, and 2.2% on UPN. A total of 70.8% of the audience watched shows on other cable networks, such as CNN and ESPN. You can find the latest information on TV viewing from the following website: http://www.nielsen.com/us/en/top10s.html/. Develop a pie chart or a bar chart to depict this information. Write a paragraph summarizing your findings.

One of the most popular candies in the United States is M&M’s, produced by the Mars Company. In the beginning M&M’s were all brown. Now they are produced in red, green, blue, orange, brown, and yellow. Recently, the purchase of a 14-ounce bag of M&M’s Plain had 444 candies with the following breakdown by color: 130 brown, 98 yellow, 96 red, 35 orange, 52 blue, and 33 green. Develop a chart depicting this information and write a paragraph summarizing the results.

Refer to the North Valley Real Estate data, which report information on homes sold during the last year. For the variable price, select an appropriate class interval and organize the selling prices into a frequency distribution. Write a brief report summarizing your findings. Be sure to answer the following questions in your report. a. Around what values of price do the data tend to cluster? b. Based on the frequency distribution, what is the typical selling price in the first class? What is the typical selling price in the last class? c. Draw a cumulative relative frequency distribution. Using this distribution, fifty percent of the homes sold for what price or less? Estimate the lower price of the top ten percent of homes sold. About what percent of the homes sold for less than $300,000? d. Refer to the variable bedrooms. Draw a bar chart showing the number of homes sold with 2, 3, or 4 or more bedrooms. Write a description of the distribution.

Refer to the Baseball 2016 data that report information on the 30 Major League Baseball teams for the 2016 season. Create a frequency distribution for the Team Salary variable and answer the following questions. a. What is the typical salary for a team? What is the range of the salaries? b. Comment on the shape of the distribution. Does it appear that any of the teams have a salary that is out of line with the others? c. Draw a cumulative relative frequency distribution of team salary. Using this distribution, forty percent of the teams have a salary of less than what amount? About how many teams have a total salary of more than $220 million?

Refer to the Lincolnville School District bus data. Select the variable referring to the number of miles traveled since the last maintenance, and then organize these data into a frequency distribution. a. What is a typical amount of miles traveled? What is the range? b. Comment on the shape of the distribution. Are there any outliers in terms of miles driven? c. Draw a cumulative relative frequency distribution. Forty percent of the buses were driven fewer than how many miles? How many buses were driven less than 10,500 miles? d. Refer to the variables regarding the bus manufacturer and the bus capacity. Draw a pie chart of each variable and write a description of your results.

A grouping of qualitative data into mutually exclusive classes showing the number of observations in each class is known as a ______.

A grouping of quantitative data into mutually exclusive classes showing the number of observations in each class is known as a _____ .

A graph in which the classes for qualitative data are reported on the horizontal axis and the class frequencies (proportional to the heights of the bars) on the vertical axis is called a _______ .

A circular chart that shows the proportion or percentage that each class represents of the total is called a ______ .

A graph in which the classes of a quantitative variable are marked on the horizontal axis and the class frequencies on the vertical axis is called a ______ .

A set of data included 70 observations. How many classes would you suggest to construct a frequency distribution? ______

The distance between successive lower class limits is called the ______ .

The average of the respective class limits of two consecutive classes is the class ______.

In a relative frequency distribution, the class frequencies are divided by the ______ .

A cumulative frequency polygon is created by line segments connecting the class ______ and the corresponding cumulative frequencies.