Chapter 6 Assessment Multiple Choice 1. The boxplot summarizes the test scores of a math class? Test Scores Based on the box plot, which of these must be true? 3. Which points in the data set below are outliers? 73, 73, 74, 75, 75, 75, 77, 77, 77, 77, 78, 78, 89, 90 a. b. c. d. 73, 73 73, 73, 74 78, 78, 89, 90 89, 90 4. Four teachers gave a test to their classes. A summary of the test results are shown below: TEST RESULTS a. The median score is 70. b. The lower quartile score is 65. c. Half of the scores are between 65 and 75. d. The interquartile range is half of the range. 2. For the given boxplot, what are the correct summary statistics? Teacher Min Score Q1 Med Score Q3 Max Score Mrs. Lee 52 73 83 89 95 Mr. Green 54 75 79 89 93 Ms. Jimenez 73 78 84 93 96 Mr. Wang 42 83 91 96 100 Which teacher’s class has the widest spread in the middle 50% of the test scores? a. b. c. d. Min: 5, Max: 45, IQR: 10, Med: 20 Min: 0, Max: 45, IQR: 15, Med: 10 Min: 5, Max: 50, IQR: 10, Med: 10 Min: 0, Max: 50, IQR: 15, Med: 10 a. b. c. d. Mrs. Lee Mr. Green Ms. Jimenez Mr. Wang 5. A student rolled two 6-sided number cubes several times. The numbers below are the sums of the numbers she rolled. Which histogram represents the data? 7, 11, 2, 6, 7, 9, 12, 3, 7, 4, 8, 3, 5, 10, 7, 8, 11, 5, 4, 12 a. 6. John and Samantha discovered that the means of their grades for the second quarter of their science class were identical. They also noticed that the standard deviation of John's grades is 20.3, while the standard deviation of Samantha’s grades is 2.3. Which statement must be true? Frequency 10 8 6 4 2 2-5 b. 6-9 Sum 10-12 a. In general, Samantha’s grades were lower than John’s grades. b. Samantha’s grades are more consistent than John’s grades. c. Samantha had more failing grades during the marking period than John had. d. The median for Samantha’s grades is lower than the median for John’s grades. Frequency 10 8 7. The dot-plot represents the number of pizza orders called in during one hour of business. What is the maximum and minimum entry? 6 4 2 2-5 6-9 Sum 10-12 10 Frequency c. Number of Pizza Orders 8 6 a. b. c. d. 4 2 2-5 6-9 Sum 10-12 2-5 6-9 Sum 10-12 10 Frequency d. 8 6 4 2 min: 1; max: 4 min: 12; max: 17 min: 15; max: 14 min: 24; max: 34 8. The following are prices for a 25 inch T.V. found in different stores around Roseville: 11. Consider the following two histograms and decide which of the statements are true. 100, 98, 121, 111, 97, 135, 136, 104, 135, 138, 189, 114, 92, 69 Which of the following describes the data? a. b. c. d. Skewed to the right Symmetric Skewed to the left Uniform 9. For the following data set, calculate the standard deviation (use a calculator). Miles per Day 2 5 7 10 a. b. c. d. Frequency 5 4 3 6 1.29 3.28 3.37 6.17 10. What mathematical term would you use to describe 12 movies watched last month? Number of Movies Watched Last Month a. b. c. d. mode median range outlier I. Both graphs have gaps and clusters. II. Only one graph is symmetric. III. Both graphs have the same mean. IV. Both graphs have the same range. a. b. c. d. I, II, III, and IV II, III, and IV I, III, and IV III and IV 12. Which of the following displays a data distribution on a five number summary? a. b. c. d. box-and-whisker plot dot-plot frequency table histogram 13. The median of a distribution is 150 and the interquartile range is 50. Identify the statement(s) that must be true. 15. The box-and-whisker plots below show the average monthly temperatures for Boston and Seattle. I. 50% of the data are between 125 and 175. II. 50% of the data are less than 150. III. 75% of the data are greater than 125. a. b. c. d. I only II only I and II only I, II, and III Number of Families 14 12 10 8 6 4 2 0-2 3-5 6-8 9-11 12-14 Number of Pets Which statement is true about the histogram? a. b. c. d. Boston Which of the following statements are true? 14. The histogram shows the number of pets that families own. 0 Seattle All families have 2 or more pets Most families have 12 pets Most families have less than 9 pets Most families have more than 9 pets I. The temperatures in Seattle have a greater spread than the temperatures in Boston. II. Boston and Seattle have nearly identical median temperatures. III. The interquartile range for the temperatures in Boston is greater than the interquartile range for the temperatures in Seattle. a. b. c. d. I and II only II only II and III only III only Chapter 7 Assessment Multiple Choice 1. Claire makes monthly payments on her loan at the bank. She pays different amounts each month. However, she can approximate the total amount that she owes the bank by using the linear equation y = -150x + 1250, where y is the total amount owed and x is the number of months in repaying the loan. Which statement is true based on the equation? a. She started with a total loan of $150 b. She started with a total loan of $1,100. c. She pays approximately $1,250 each month. d. She pays approximately $150 each month. 2. Merideth planted tulips around her house. Each day, she tracks the number of blossoming buds. For the 10 days that she tracks the tulips, she finds that the linear equation y = 2x + 3 estimates the number of blossoming buds on any of the days from 1-10. What does the slope represent in this context? a. Approximately 3 buds blossom each day. b. Approximately 2 buds blossom each day. c. The day Merideth started tracking blossoming buds, there were already 2 blossoming buds. d. The day Merideth started tracking blossoming buds, there were already 3 blossoming buds. 3. Ms. Rosenberg collects information about her students. She records students’ favorite movie type in the table below, and separates the responses by age. Age Comedy Favorite movie genre Romantic Action comedy Thriller 15 years old 8 14 22 9 16 years old 13 16 18 5 How many students are 15-year-olds and prefer action movies? a. b. c. d. 8 14 18 22 4. A survey of 900 students was conducted regarding the Mascot for their new junior high school. The results are summarized in the table below. Male Female Total Cougars 143 119 262 Hawks 153 165 318 Knights 166 154 320 What percentage of females preferred Knights? a. b. c. d. 35.16% 35.93% 48.13% 48.67% Total 462 438 900 5. Which scatter plot is most likely to have a correlation coefficient of r = -0.5? 6. What should be true in order for a scatter plot to show that a linear fit may be appropriate for a data set? a. a. The points should appear as an upward curve. b. The points should be scattered randomly. c. The points should appear to lie generally along a line. d. The points for should all lie above the line or below the line. b. 7. The scatter plot shows a relationship between the amount of time a customer waits in line and the number of people in line ahead of that customer when he/she entered the line. c. Minutes Waiting 60 50 40 30 20 10 0 2 4 6 8 10 12 People Ahead of Customer d. Which equation would represent the line of best fit for this data? a. b. c. d. y = 7.5x + 2.6 y = 4.5x + 12.4 y = 2.5x + 27.5 y = 0.2x – 2 8. Using line of best fit in the graph below, what is the best prediction of electrical use when the high temperature is 90°? 10. The scatter plot below shows the relationship between the age and value of Judy’s car. A curve of best fit has been drawn. Energy Consumption Value of Judy’s Car Electricity (×1,000 kWh) 1000 20000 800 Value (in dollars) 16000 600 400 200 80 90 100 ○ High Temperature ( F) 700,000 kWh 780,000 kWh 850,000 kWh 1,000,000 kWh 9. The table shows the growth of the world population. Use the table of data below to determine which equation best models this data. Year 1650 1850 1930 1975 2004 a. b. c. d. 8000 4000 70 a. b. c. d. 12000 Population (millions) 500 1000 2000 4000 6400 y = -22958.64x – 13.68 y = (.005)(1.01)x y = (1.01)(.005)x y = 13.68x – 22958.64 0 1 2 3 4 5 Age of Car (in years) 6 Use the curve of best fit to approximate how much Judy’s car will have decreased in value when the car is 6 years old. a. b. c. d. $4,000 $6,000 $16,000 $20,000 11. A data set has a correlation coefficient of 0.013. Which statement about the data is true? a. The data has a strong negative linear correlation. b. The data has a weak negative linear correlation. c. The data has a strong positive linear correlation. d. The data has little or no linear correlation. 12. Which statement describes causation? a. When event x increases, event y decreases. b. Event x and event y have a linear correlation. c. When event x increases, event y increases. d. Event x is responsible for a change in event y. 13. Victor is collecting data about number of M&Ms in a cup vs. weight of the cup. Which of the following is true about the relationship between these quantities? a. There is correlation but not causation. b. There is causation but not correlation. c. There is both causation and correlation. d. There is neither causation nor correlation. 15. What is the purpose of residual plots? a. To determine causation. b. To assess the type of relationship that exists between x and y. c. To check the appropriateness and fit of the regression equation for the data. d. To measure the variability in the residuals. 16. Consider the following residual plot: Which of the following statements is/are true? I. The residual plot indicates that a line is a reasonable model for the data. II. The residual plot indicates that there is no relationship between the data. III. The correlation between the variables is probably non-zero. 14. Hannah randomly selected 14 men and measured the height and shoe size of each. She found the correlation coefficient to be 0.93. Based on her data, which of the following is a reasonable conclusion about the relationship between these two quantities? a. There is correlation but not causation. b. There is causation but not correlation. c. There is both causation and correlation. a. There is neither causation nor correlation. a. b. c. d. I only II only I and III only II and III only Pepperoni .02 .15 .15 .32 Veggie .03 .08 .08 .19 Total .12 .53 .35 1 a. More people prefer veggie than pepperoni pizza. b. The least favorite type of crust is thin crust. c. Cheese pizza is the overall favorite type of pizza. d. Stuffed crust pizza is more popular than thick crust pizza. a. Residuals Stuffed Thick Thin Total Cheese .07 .30 .12 .49 20. Which of the following residual plots indicates a reasonable fit to a given set of data? 0 Residuals 18. The relative frequency table shows types of pizza sold at Katie’s Pizza Parlor during one day. What can you conclude for the table? a. Number of hours devoted to studying for a final exam and a student’s grade on the final b. The speed of a vehicle and the time to reach your destination c. A teacher’s salary and the number of years of teaching experience that teacher has d. The age of and the number of miles an automobile has 0 Residuals a. the number of daylight hours each day for a month b. the amount of snowfall each week during the winter season c. the number of movies rented during the summer d. the number of types of meals and types of drinks students purchase in the lunchroom 19. Which of the following associations is likely to have a negative correlation? 0 Residuals 17. Which type of information could best be displayed on a two-way frequency table? 0 b. c. d. 21. Which graph most clearly shows a positive correlation between the x and y values? a. y 10 8 Hours (x) 6 4 2 0 2 4 6 8 10 x b. y 10 6 4 2 2 4 6 8 10 x 2 4 6 8 10 x 2 4 6 8 10 x c. y 10 8 6 4 2 0 d. y 10 8 6 4 2 0 0 1 2 3 4 5 6 7 Number of Bacteria (y) 1200 780 510 330 210 140 100 85 a. all real numbers b. all real numbers greater than or equal to 0 c. all real numbers greater than or equal to 0 and less than or equal to 1200 d. all real numbers greater than or equal to 0 and less than or equal to 7 8 0 22. The table shows the number of bacteria in a culture at the start of each hour as it is being studied. If an exponential function is used to model the problem situation, what would be the domain of the function? #6 EOL Practice Test – Answers Chapter #6 1. B 2. D 3. D 4. A 5. B 6. B 7. B 8. A 9. B 10. B 11. D 12. A 13. B 14. C 15. C Chapter #7 1. D 2. B 3. D 4. A 5. C 6. C 7. B 8. A 9. B 10. C 11. D 12. D 13. C 14. A 15. C 16. C 17. D 18. C 19. B 20. C 21. C 22. B
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