Name: Class: Date: Chapter 1 Midterm Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A survey typically records many variables of interest to the researchers involved. Below are some of the variables from a survey conducted by the U.S. Postal Service. Which of the variables is categorical? A. County of residence B. Number of people, both adults and children, living in the household C. Total household income, before taxes, in 1993 D. Age of respondent E. Number of rooms in the dwelling 2. Scenario 1-2 Below is a two-way table summarizing the number of cylinders in selected car models manufactured in six different countries in the 1990 s. Number of cylinders 4 5 6 8 Total France 0 0 1 0 1 Germany 4 1 0 0 5 Italy 1 0 0 0 1 Japan 6 0 1 0 7 Sweden 1 0 1 0 2 U.S.A. 7 0 7 8 22 Total 19 1 10 8 38 Use Scenario 1-2. The percent of cars with 4-cylinder engines that are made in Germany is A. 10.5%. B. 21%. C. 50%. D. 80%. E. 91%. 3. Use Scenario 1-2. From this table, we might conclude that A. there is a strong association between country of origin and number of cylinders. B. about 18% of the cars sold in the United States were manufactured in Japan. C. these data could be more effectively presented with a box plot. D. the only eight cylinder cars in this data set were manufactured in Germany. E. All the cars on Italian roads have four cylinders. 1
Name: 4. The table below shows the results of the New Hampshire Democratic Presidential Primary on January 8, 2008. Candidate Percentage of votes Hillary Clinton 39 Barack Obama 37 John Edwards 17 Bill Richardson 5 Other 2 Which of the following lists of graphs are all appropriate ways of presenting these data? A. Bar graph, Pie Chart, Box plot B. Bar graph, Box plot C. Bar graph, Pie Chart D. Bar Graph only E. Pie Chart only Scenario 1-3 For a physics course containing 10 students, the maximum point total for the quarter was 200. The point totals for the 10 students are given in the stemplot below. 11 6 8 12 1 4 8 13 3 7 14 2 6 15 16 17 9 5. Use Scenario 1-3. This stemplot is most similar to A. a histogram with class intervals 110 score < 120, 120 score < 130, etc. B. a time plot of the data with the observations taken in increasing order. C. a boxplot of the data. D. reporting the 5 number summary for the data, with the mean. E. a dot plot of the data. 2
Name: 6. The ages of people in a college class are as follows: Age 18 19 20 21 22 23 24 25 32 Number of 14 120 200 200 90 30 10 2 1 students What is true about the median age? A. It must be 20. B. It must be 20.5. C. It could be any number between 19 and 21. D. It must be 21. E. It must be over 21. 7. A set of data has a mean that is much larger than the median. Which of the following statements is most consistent with this information? A. The distribution is symmetric. B. The distribution is skewed left. C. The distribution is skewed right. D. The distribution is bimodal. E. The data set probably has a few low outliers. 3
Name: Scenario 1-4 Mr. Williams asked the 26 seniors in his statistics class how many A.P. courses they had taken during high school. Below is a dot plot summarizing the results of his survey. 8. Use Scenario 1-4. Which of the following is a correct box plot for these data? A. A B. B C. C D. D E. E 4
Name: Scenario 1-5 A sample was taken of the salaries of 20 employees of a large company. The following boxplot shows the salaries (in thousands of dollars) for this year. 9. Use Scenario 1-5. Based on the boxplot, the five-number summary is A. 28, 39, 48, 60.5, 77. B. 28, 41, 48, 58, 77. C. 28, 39, 51, 58, 77. D. 28, 41, 51, 60.5, 77. E. 26, 39, 48, 60.5, 81. 10. A lobster fisherman is keeping track of the productivity of a set of traps he has placed in a favorite location. Below are the numbers of lobsters in these traps over the course of 12 different hauls. 0 3 3 3 4 5 5 6 7 7 12 14 According to the 1.5 x IQR rule, which values in the above distribution are outliers? A. 0 only B. 14 only C. 12 and 14 D. 0 and 14 E. 0, 12, and 14 Short Answer Scenario 1-10 A student studying the sleeping habits of seniors at his school asked 34 randomly-selected seniors how many hours of sleep they got the previous night. The data, rounded to the nearest half-hour, is given in the table below. 8 7.5 9 7.5 9 6 5 9 7.5 7 8 7 6.5 8.5 8 6.5 8.5 6 7 7.5 7 6 8.5 7 8 7 7.5 7 6 7 8 7.5 6 7 1. Use Scenario 1-10. Use your calculator to find the mean and standard deviation of these data. 5
Name: Scenario 1-1 Below is some information about films for the Best Movie Academy Award (Oscar) in 2009. Budget (millions of dollars) Total # of Oscar Nominations Running time MMPA Name Genre (minutes) Rating Avatar Adventure 237 9 162 PG-13 The Blind Side Drama 29 2 128 PG-13 District 9 Action 30 4 112 R An Education Drama 7 3 95 PG-13 The Hurt Locker Action 11 9 131 R Inglourious Basterds Drama 70 8 153 R Precious Drama 10 6 110 R A Serious Man Comedy 7 2 106 R Up Animated 175 5 96 PG Up in The Air Comedy 30 6 109 R 2. Use Scenario 1-1. Here is a pie chart for the distribution of the variable MMPA rating. Fill in the blanks with the appropriate values of the variable. 3. Below are dotplots for three small data sets: A, B, and C. Without performing any calculations, rank the standard deviations of the datasets from lowest to highest. Justify your answer. 6
Name: Scenario 1-9 One of the important factors in determining population growth rates is the birth rate per 1000 individuals in a population. Below are the birth rates per 1000 individuals for 54 African Nations from a 2009 Population Reference Bureau report. The data is provided in ascending order, along with a dotplot. 14 23 25 31 34 36 38 39 41 43 46 17 23 26 31 35 37 38 39 41 43 46 18 24 28 32 35 38 39 39 41 44 47 21 25 29 33 36 38 39 40 43 45 53 23 25 30 33 36 38 39 40 43 45 4. Use Scenario 1-9. Are there any outliers? Justify your answer. 7
Chapter 1 Midterm Review Answer Section MULTIPLE CHOICE 1. ANS: A PTS: 1 TOP: Categorical vs Quantitative variables 2. ANS: B PTS: 1 TOP: Conditional distribution--calculation 3. ANS: A PTS: 1 TOP: Interpret two-way table 4. ANS: C PTS: 1 TOP: When to use bar graphs and pie charts 5. ANS: A PTS: 1 TOP: Interpret stem plot 6. ANS: A PTS: 1 TOP: Finding median from frequency distribution 7. ANS: C PTS: 1 TOP: Mean, median, and skew 8. ANS: B PTS: 1 TOP: Box plot from dot plot 9. ANS: A PTS: 1 TOP: Interpret boxplot 10. ANS: B PTS: 1 TOP: 1.5 x IQR rule (from data) SHORT ANSWER 1. ANS: Mean = 7.309 hours; Standard deviation = 0.977 hours. PTS: 1 REF: Quiz 1.3C TOP: Describing Quantitative Data with Numbers 2. ANS: 1. PG; 2. PG-13; 3. R PTS: 1 REF: Quiz 1.1A TOP: Analyzing Categorical Data 3. ANS: C < A < B. B is largest since none of the scores are near the mean. C is less than A because the extra scores that are equal to the mean have a deviation of 0 from the mean and thus reduce the average deviation. PTS: 1 REF: Quiz 1.3A TOP: Describing Quantitative Data with Numbers 4. ANS:.5 x IQR = 1.5 x 12 = 18; 29 18 = 11 so no low outliers; 41 + 18 = 59 so no high outliers. PTS: 1 REF: Quiz 1.3B TOP: Describing Quantitative Data with Numbers 1