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mathematics
practice of statistics

Questions and Answers of Practice of Statistics

How old is the oldest person you know?Prudential Insurance Company asked 400 people to place a blue sticker on a huge wall next to the age of the oldest person they have ever known. An image of the
The dotplot shows the difference (Highway − City) in EPA mileage ratings, in miles per gallon (mpg) for each of 24 model year 2018 cars.a. Explain what the dot above −3 represents.b. What does
Earlier, we examined data on the number of goals scored by the 2016 U.S. women’s soccer team in 20 games played.The following dotplot displays the goal differential for those same games, computed
Here are data on the lengths of the first 25 words on a randomly selected page from Toni Morrison’s Song of Solomon:a. Make a dotplot of these data.b. Long words can make a book hard to read. What
Students in a high school statistics class responded to a survey designed by their teacher. One of the survey questions was “How much sleep did you get last night?” Here are the data (in
A high school lacrosse team is planning to go to Buffalo for a three-day tournament. The tournament’s sponsor provides a list of available hotels, along with some information about each hotel. The
The following partially completed two-way table shows the marginal distributions of gender and handedness for a sample of 100 high school students.If there is no association between gender and
The Dallas Mavericks won the NBA championship in the 2010–2011 season. The two-way table displays the relationship between the outcome of each game in the regular season and whether the Mavericks
The following bar graph shows the distribution of favorite subject for a sample of 1000 students. What is the most serious problem with the graph?a. The subjects are not listed in the correct
For which of the following would it be inappropriate to display the data with a single pie chart?a. The distribution of car colors for vehicles purchased in the last monthb. The distribution of
Accident victims are sometimes taken by helicopter from the accident scene to a hospital. Helicopters save time. Do they also save lives? The two-way table summarizes data from a sample of patients
Here’s another table that summarizes data on survival status by gender and class of travel on the Titanic:a. Find the distributions of survival status for males and for females within each class of
Here are the row and column totals for a two-way table with two rows and two columns:Find two different sets of counts a, b, c, and d for the body of the table that give these same totals. This shows
The bar graph displays data on the percent of people in several age groups who attended a movie in the past 12 months.a. Describe what the graph reveals about the relationship between age group and
The bar graph displays data on the percent of smartphone owners in several age groups who say that they use their phone for turn-by-turn navigation.a. Describe what the graph reveals about the
Favorite car colors may differ among countries. The side-by-side bar graph displays data on the most popular car colors in a recent year for North America and Asia. Write a few sentences comparing
A survey asked first-year college students, “How many miles is this college from your permanent home?” Students had to choose from the following options: 5 or fewer, 6 to 10, 11 to 50, 51 to 100,
Refer to Exercise 26.a. Of the eggs that hatched, what proportion were randomly assigned to hot water?b. Of the eggs that were randomly assigned to hot water, what percent hatched?c. The segmented
Refer to Exercise 25.a. Of the respondents who felt that their body weight was about right, what proportion were female?b. Of the female respondents, what percent felt that their body weight was
Refer to Exercise 24.a. Find the distribution of superpower preference for the students in the sample from each country (i.e., the United States and the United Kingdom). Make a segmented bar graph to
Refer to Exercise 23.a. Find the distribution of responses about whether there was broken glass at the accident for each of the three treatment groups. Make a segmented bar graph to compare these
Refer to Exercise 24.a. What proportion of students in the sample who prefer invisibility as their superpower are from the United States?b. What percent of students in the sample who are from the
Refer to Exercise 23.a. What proportion of subjects who said they saw broken glass at the accident received the “hit” treatment?b. What percent of subjects who received the “smashed into”
How is the hatching of water python eggs influenced by the temperature of the snake’s nest? Researchers randomly assigned newly laid eggs to one of three water temperatures: hot, neutral, or cold.
A random sample of 1200 U.S. college students was asked, “What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?” The two-way table summarizes
A total of 415 children from the United Kingdom and the United States who completed a survey in a recent year were randomly selected. Each student’s country of origin was recorded along with which
Researchers asked 150 subjects to recall the details of a car accident they watched on video. Fifty subjects were randomly assigned to be asked, “About how fast were the cars going when they
A news network reported the results of a survey about a controversial court decision. The network initially posted on its website a bar graph of the data similar to the one that follows. Explain how
The Pew Research Center surveyed a random sample of U.S. teens and adults about their use of social media. The following pictograph displays some results. Explain how this graph is misleading. AGE
About 3 million first-year students enroll in colleges and universities each year. What do they plan to study? The pie chart displays data on the percent of first-year students who plan to major in
Do you “binge-watch” television series by viewing multiple episodes of a series at one sitting? A survey of 800 people who binge-watch were asked how many episodes is too many to watch in one
Email spam is the curse of the Internet. Here is a relative frequency table that summarizes data on the most common types of spam:Type of spam .................................. PercentAdult
Students in a high school statistics class were given data about the main method of transportation to school for a group of 30 students. They produced the pictograph shown. Explain how this graph is
Here is a pie chart prepared by the Census Bureau to show the origin of the more than 50 million Hispanics in the United States in 2010. About what percent of Hispanics are Mexican? Puerto Rican?
The most popular colors for cars and light trucks change over time. Silver advanced past green in 2000 to become the most popular color worldwide, then gave way to shades of white in 2007. Here is a
Here is a list of the breeds of dogs that won the World Canine Disc Championships from 1975 through 2016. Make a relative frequency bar graph for these data. Describe what you see. Whippet Mixed
The brands of the last 45 digital single-lens reflex (SLR) cameras sold on a popular Internet auction site are listed here. Make a relative frequency bar graph for these data. Describe what you see.
As of 2015, there were over 75,000 elevators in New York City. The frequency table summarizes data on the number of elevators of each type.Type ...............................................
The frequency table summarizes data on the numbers of babies born on each day of the week in the United States in a recent week.Day ........................................................
The individuals in this data set area. Households.b. People.c. Adults.d. 120 variables.e. Columns.At the Census Bureau website www.census.gov, you can view detailed data collected by the American
This data set containsa. 7 variables, 2 of which are categorical.b. 7 variables, 1 of which is categorical.c. 6 variables, 2 of which are categorical.d. 6 variables, 1 of which is categorical.e. None
You are preparing to study the social media habits of high school students. Describe two categorical variables and two quantitative variables that you might record for each student.
Popular magazines rank colleges and universities on their “academic quality” in serving undergraduate students. Describe two categorical variables and two quantitative variables that you might
Data from a medical study contain values of many variables for each subject in the study. Some of the variables recorded were gender (female or male); age (years); race (Asian, Black, White, or
What measures can be taken, especially when restoring historic wooden buildings, to help wood surfaces resist weathering? In a study of this question, researchers prepared wooden panels and then
According to the Internet Movie Database, Avatar is tops based on box office receipts worldwide as of January 2017. The following table displays data on several popular movies. Identify the
Here is some information about the tallest buildings in the world as of February 2017. Identify the individuals and variables in this data set. Classify each variable as categorical or quantitative.
Each month, the U.S. Census Bureau selects a random sample of about 300,000 U.S. households to participate in the American Community Survey (ACS). The chosen households are notified by mail and
Many people like to ride roller coasters. Amusement parks try to increase attendance by building exciting new coasters. The following table displays data on several roller coasters that were opened
Here is a small part of the data set that describes the students in an AP® Statistics class. The data come from anonymous responses to a questionnaire filled out on the first day of class.a.

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