Select the best answer. 1. Use this bar graph to identify how many more candies are blue than red. A 3 B 6 C 9 D 15 Form A 2. Which type of graph would be best for displaying this data? Board Members Opinions About Restoring Town Hall Opinion Board members In Favor 18 Oppose Undecided 2 A circle graph B line graph 3. This stem-and-leaf plot gives the number of items correct on a test for ten students. Which data set is plotted? Stem Leaves 3 5 6 9 4 2 3 5 5 8 5 0 0 A { 5, 5, 24, 34, 53, 54, 54, 63, 84, 93 } B { 35, 36, 39, 42, 43, 45, 45, 48, 50, 50 } The high temperatures for Concord, CA, for October 1 15, 2005, are given below. Use this data for questions 4 7. High Temperatures F 80 73 72 76 84 86 82 73 81 84 78 85 87 84 70 4. Which frequency table reflects the data? A B Temp Freq. Temp Freq. ( F) ( F) 70 74 4 70 74 4 75 79 2 75 79 2 80 84 3 80 84 6 85 89 6 85 89 3 5. What is wrong with this histogram? Frequency 7 6 5 4 3 2 1 0 High Temperatures for Oct. 1 15, 2005 70 73 74 77 78 81 82 85 86 89 Temperature ( F) A The bar for 74 77 is too short. B The bar for 78 81 is too tall. C The bar for 82 85 is too tall. D The bar for 86 89 is too short. 6. Find the mean, median, and mode. (Round answers to the nearest tenth.) mean median mode A 79.5 80.5 no mode B 79.7 81 84 C 79.7 81 no mode D 79.8 81 84 187 Holt Algebra 1
7. What, if anything, is wrong with this boxand-whisker plot? A The value of Q1 is incorrect. B The value of the median is incorrect. C The value of Q3 is incorrect. D The boxplot is correct. 8. This graph shows Jenna s average in math class over a few months. Explain why the graph is misleading. Form A continued A The intervals on the vertical axis are not equal. B The scale on the vertical axis does not begin at zero. A manufacturer inspects 50 computer monitors and finds that 45 have no defects. Use this information for questions 9 and. 9. What is the experimental probability that a monitor chosen at random has no defects? A 5% C 45% B % D 90%. If the manufacturer sells 20,000 computer monitors, predict the number that have no defects. A 00 C 9000 B 2000 D 18,000 11. Find the theoretical probability of rolling a number greater than 4 on a standard number cube. A 1 3 B 1 2 12. The probability of picking a red marble from a bag is 1. What are the odds in 5 favor of picking a red marble? A 1:4 B 1:6 13. A number cube is rolled 2 times in a row. What is the probability of rolling a 3 both times? A 1 C 1 36 3 B 1 30 D 11 30 14. A bag has marbles, and 4 are black. Joseph picks 2 marbles without replacing the first. What is the probability that both are black? A 3 25 B 2 15 C 4 25 D 8 45 15. A race has runners, and awards are given to first, second, and third place finishers. How many different ways can the awards be won by the runners? A 120 B 720 188 Holt Algebra 1
Form B Select the best answer. 1. Use this line graph to identify the period that saw the greatest change in gross revenue. A 2001 2002 C 2003 2004 B 2002 2003 D 2004 2005 2. Which type of graph would be best for displaying this data? Actors/Actresses with The Most Oscar Nominations Actor/Actress Nominations Meryl Streep 13 Katherine Hepburn 12 Jack Nicholson 12 Bette Davis Laurence Olivier F bar graph G circle graph 3. This stem-and-leaf plot gives the number of gold medals won by ten countries during the 2004 Olympics. Which data set is plotted. H histogram J line graph Stem Leaves 0 9 9 1 0 1 4 6 7 2 7 3 2 5 Key: 3 2 means 32 A { 0, 1, 2, 4, 5, 6, 7, 7, 9, 9 } B { 1, 11, 23, 41, 53, 61, 71, 72, 90, 90 } C { 9, 9,, 11, 14, 16, 17, 27, 32, 35 } D { 27, 99, 325, 1,467 } The ages of the U.S. Presidents that were inaugurated during the 1900 s are given below. Use this data for questions 4 7. Ages at Inauguration 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 46 4. Which frequency table reflects the data? F Ages Freq. H Ages Freq. 41 50 3 41 50 3 51 60 4 51 60 61 70 5 61 70 4 G Ages Freq. 41 50 3 51 60 9 61 70 5 J Ages Freq. 41 50 6 51 60 8 61 70 3 5. What is wrong with this histogram? A The bar for 40 44 is too short and the bar for 45 49 is too tall. B The bar for 50 54 is too tall. C The bar for 50 54 is too short and the bar for 55 59 is too tall. D The bar for 55 59 is too short. 6. Find the mean, median, and mode. (Round answers to the nearest tenth.) mean median mode F 54.6 55 51 G 54.6 62 51 H 55 54.6 no mode J 55 55 no mode 189 Holt Algebra 1
Form B continued 7. What, if anything, is wrong with this boxand-whisker plot? A The value of Q1 is incorrect. B The value of the median is incorrect. C The value of Q3 is incorrect. D The boxplot is correct. 8. This graph shows how Russell spends his income each month. Explain why the graph is misleading. F The entertainment sector is too small relative to the groceries sector. G The rent sector is too large relative to the entertainment sector. H The sample size is too small. J The sectors do not add to 0%. An experiment consists of spinning a spinner. Use these results for questions 9 and. Outcome Freq. Red 4 Green Blue 6 9. What is the experimental probability that that the spinner lands on red? A 4% C 25% B 20% D 40%. If Angie spins the spinner 250 times, predict the number of times it will land on green. F H 50 G 25 J 125 11. Find the theoretical probability of randomly choosing a vowel from the letters in EXPERIMENT. A 1 C 2 5 5 B 3 D 3 5 12. The probability of picking a red marble from a bag is 2. What are the odds 7 against picking a red marble? F 2:5 H 5:7 G 5:2 J 7:5 13. A number cube is rolled 2 times in a row. What is the probability of rolling a multiple of 3 both times? A 1 C 1 36 15 B 1 D 1 18 9 14. A game board has 8 cards, and 2 say WIN. Mayela picks 2 cards without replacing the first. What is the probability that neither say WIN? F 15 32 G 15 28 H 9 16 J 9 14 15. From 5 players, 2 are chosen to play the bonus round. How many different teams of two are possible? Does the situation involve permutations or combinations? A ; combinations B 20; combinations C 20; permutations D 60; permutations 190 Holt Algebra 1
Form C Select the best answer. 1. Use this circle graph to identify how many more candies are blue than orange, if the bag contains 200 candies. A 4 C 44 B 8 D 80 2. Which type of graph would be best for displaying this data? Top Three Countries for Visitors to a Website Country Number of Visitors US 124,598 UK 26,902 Canada 16,077 F bar graph H histogram G circle graph J line graph 3. This stem-and-leaf plot gives the number of points scored by two football teams during the first half of the 2004 season. Which data set is plotted for the Cowboys? Cowboys Texans 3 0 Key: 2 4 means 24 9 7 0 1 3 6 1 2 means 21 1 0 0 2 0 0 0 4 8 1 3 0 A { 1, 2, 2, 12, 13, 30, 91, 71 } B { 2, 2, 2, 3, 31, 42, 61, 82 } C { 3,, 17, 19, 20, 20, 21, 31 } D { 13, 16, 20, 20, 20, 24, 28, 30 } The fuel economy in miles per gallon (mi/gal) of several vehicles are given below. Use this data for questions 4 7. miles per gallon 15.8 26.5 19.1 19.5 25.3 20.2 19.2 20.0 18.0 27.8 27.3 18.9 28.9 22.5 4. Which frequency table reflects the data? F mi/gal freq. H mi/gal freq. 15 19.9 4 15 19.9 6 20 24.9 5 20 24.9 4 25 29.9 5 25 29.9 4 G mi/gal freq. J mi/gal freq. 15 19.9 6 15 19.9 7 20 24.9 3 20 24.9 2 25 29.9 5 25 29.9 5 5. What is wrong with this histogram? A The bar for 15 17.9 is too short and the bar for 18 20.9 is too tall. B The bar for 18 20.9 is too short. C The bar for 21 23.9 is too short and the bar for 24 26.9 is too tall. D The bar for 27 29.9 is too tall. 6. Find the mean, median, and mode. (Round answers to the nearest tenth.) mean median mode F 21.6 20 19 G 22.1 19.6 no mode H 22.1 20 19 and 20 J 22.1 20.1 no mode 191 Holt Algebra 1
Form C continued 7. What, if anything, is wrong with this boxand-whisker plot? A The value of Q1 is incorrect. B The value of the median is incorrect. C The value of Q3 is incorrect. D The boxplot is correct. 8. Malcolm surveys 200 members at a fitness club and calculates the median number of hours they exercise per week. Explain why this statement is misleading: The average person spends hours per week exercising. F Outliers may make the median an extreme measure of central tendency. G The mean is always a better measure of central tendency to describe data. H The sample is biased because people attending a fitness club are more likely to exercise frequently. J The sample size is much too small. An experiment consists of rolling a number cube. Use these results for questions 9 and. Outcome 1 2 3 4 5 6 Frequency 24 8 3 30 15 9. To the nearest percent, what is the experimental probability of NOT rolling a 1? A 24% C 73% B 27% D 76%. If Jonelle rolls the number cube 400 times, predict the number of times it will land on an even number. F 44 H 124 G 80 J 276 11. Find the theoretical probability of choosing a face card king, queen, or jack from a standard deck of cards. A B 3 52 3 26 C D 3 13 4 13 12. The odds in favor of picking a red marble from a bag are 3:8. What is the probability against picking a red marble? F 3 11 H 8 11 G 3 J 8 8 3 13. Two number cubes are rolled 3 times in a row. What is the probability of rolling a sum of all three times? A 1 C 1 7140 144 B 1 1728 D 1 12 14. A sock drawer contains white, 6 black, and 4 brown mismatched socks. Cooper randomly picks two socks without replacing the first. What is the probability that he gets a white pair? F 9 40 G 9 38 H 1 4 J 5 19 15. From 8 TV commercials, 3 are chosen to play during a commercial break. How many different commercial line-ups are possible? Does this situation involve permutations or combinations? A ; combinations B 56; combinations C 336; permutations D 6720; permutations 192 Holt Algebra 1
1. Use this bar graph to identify how many more candies are green than yellow. Form A 2. Use this data to make a graph. Explain why you chose that type of graph. Average Price for a Gallon of Regular Gasoline, October 2005 Date Price ($) Oct. 3 2.92 Oct. 2.82 Oct. 17 2.69 Oct. 24 2.56 Oct. 31 2.44 3. The number of items correct on a test for ten students are given below. Use the data to make a stem-and-leaf plot. { 32, 48, 50, 46, 35, 49, 35, 45, 33, 50 } The low temperatures for Nashville, TN, for October 1 15, 2005, are given below. Use this data for questions 4 7. Low Temperatures F 56 66 67 63 64 60 52 52 54 56 58 54 55 55 49 4. Complete this frequency table. Temperature (F) 45 49 50 54 55 59 60 64 65 69 Frequency 5. Use your frequency table in question 4 to make a histogram. 6. Find the mean, median, and mode. mean: median: mode: 193 Holt Algebra 1
Form A continued 7. Use the data to make a box-andwhisker plot.. If the manufacturer sells 20,000 computer monitors, predict the number that have no defects. 8. This graph shows the number of absences for students at Central High School. Explain why the graph is misleading. 11. Find the theoretical probability of rolling a number less than 4 on a standard number cube. 12. The probability of picking a red marble from a bag is 1. What are the odds in 9 favor of picking a red marble? 13. A number cube is rolled 2 times in a row. What is the probability of rolling a 5 both times? A manufacturer inspects 40 computer monitors and finds that 32 have no defects. Use this information for questions 9 and. 9. What is the experimental probability that a monitor chosen at random has no defects? 14. A bag has marbles, and 7 are black. Petra picks 2 marbles without replacing the first. What is the probability that both are black? 15. A race has 8 runners, and awards are given to first and second place. How many different ways can the awards be won by the runners? 194 Holt Algebra 1
Form B 1. Use this line graph to identify the period that saw the least change in gross revenue. from 2004 to 2005 2. Use this data to make a graph. Explain why you chose that type of graph. Mother Tongues for the Population of Quebec, 2001 Language People (thousands) English only 572 French only 5789 English and French 55 Other 709 A circle graph is appropriate for this data because it shows categories as parts of a whole. 3. The number of gold medals won by ten countries during the 1996 Olympics are given below. Use the data to make a stem-and-leaf plot. { 9, 16, 9, 15, 20, 13, 7, 26, 9, 44 } Stem Leaves 0 7 9 9 9 1 3 5 6 2 0 6 3 4 4 Key: 1 3 means 13 The ages of the Board of Directors of an insurance company are given below. Use this data for questions 4 7. Ages of Board of Directors 67 52 54 57 61 56 61 69 64 63 57 60 50 4. Complete this frequency table. Ages Frequency 50 54 3 55 59 3 60 64 5 65 64 2 5. Use your frequency table in question 4 to make a histogram. 6. Find the mean, median, and mode. (Round answers to the nearest tenth.) mean: 59.3 median: 60 mode: 57 and 61 195 Holt Algebra 1
Form B continued 7. Use the data to make a box-and-whisker plot. 8. This graph shows popular U.S. destinations for overseas visitors. Explain why the graph is misleading. The scale on the vertical axis does not begin at 0, which exaggerates the differences between the heights of the bars. An experiment consists of spinning a spinner. Use these results for questions 9 and. Outcome Frequency Red 6 Blue 9 Green 15 9. What is the experimental probability that the spinner lands on red? 1 20% 5. If Rhonda spins the spinner 400 times, predict the number of times it will land on blue. 120 11. Find the theoretical probability of randomly choosing a vowel from the letters in EVENTS. 1 3 12. The probability of picking a red marble from a bag is 3. What are the odds against picking a red marble? 7:3 13. A number cube is rolled 2 times in a row. What is the probability of rolling a number greater than 2 both times? 4 9 14. A game board has 9 cards, and 3 say WIN. Michal picks 2 cards without replacing the first. What is the probability that neither say WIN? 5 12 15. From players, 3 are chosen to play the bonus round. Find how many different teams of three are possible. Then tell if the situation involves permutations or combinations. 120; combinations 196 Holt Algebra 1
Form C 1. Use this circle graph to identify how many more candies are orange than yellow, if the bag contains 200 candies. 3. The number of points scored by two football teams during the first half of the 2004 season are given below. Use the data to make a stem-and-leaf plot. 49ers: 19, 27, 0, 14, 31, 14, 13, 27 Raiders: 21, 13, 30, 17, 14, 3, 26, 14 2. Use this data to make a graph. Explain why you chose that type of graph. The University of Texas System Fall Enrollment Demographics Year Male students (thousands) Female students (thousands) 1999 59 80 2000 71 83 2001 74 86 2002 78 91 The fuel economy in miles per gallon (mi/gal) of several vehicles are given below. Use this data for questions 4 7. miles per gallon 28.5 18.0 19.6 21.1 22.0 24.0 16.9 27.2 15.2 18.0 21.5 29.0 18.0 28.0 4. Complete this frequency table. mi/gal 15 17.9 18 20.9 21 23.9 24 26.9 27 29.9 frequency 5. Use your frequency table in question 4 to make a histogram. 6. Find the mean, median, and mode. (Round answers to the nearest tenth.) mean: median: mode: 197 Holt Algebra 1
Form C continued 7. Use the data to make a box-and-whisker plot. 11. Find the theoretical probability of choosing a multiple of 5 from a standard deck of playing cards. 8. Marissa surveys four classmates about their favorite restaurant. Three classmates answer McBurger, and one answers Salad Stop. Explain why the following statement is misleading: McBurger is the favorite restaurant of a majority of students. 12. The odds against picking a red marble from a bag are 4:3. What is the probability of picking a red marble? 13. Two number cubes are rolled 3 times in a row. What is the probability of rolling a sum of 9 all three times? An experiment consists of rolling a number cube. Use these results for questions 9 and. Outcome 1 2 3 4 5 6 Frequency 24 8 3 30 15 9. What is the experimental probability of NOT rolling a 6? 14. A kitchen drawer contains 8 forks, 8 spoons, and 6 knives. Jordan randomly picks two utensils without replacing the first. What is the probability that he gets two forks?. If James rolls the number cube 250 times, predict the number of times it will land on an odd number. 15. From 12 prepared songs, a band chooses 3 to perform on a TV show. One song will be played at the beginning of the show, one in the middle, and one at the end. Tell how many different set lists are possible. Then tell if the situation involves permutations or combinations. 198 Holt Algebra 1
Answer Key continued Form A 1. A 2. A 3. B 4. B 5. C 6. B 7. D 8. B 9. D. D 11. A 12. A 13. A 14. B 15. B Form B 1. B 2. F 3. C 4. H 5. C 6. F 7. C 8. J 9. B. J 11. C 12. G 13. D 14. G 15. A Form C 1. B 2. F 3. C 4. G 5. B 6. J 7. C 8. H 9. C. H 11. C 12. H 13. B 14. G 15. C Form A 1. 6 2. A line graph is appropriate for this data because it shows the change in prices over time. 3. Stem Leaves 3 2 3 5 5 4 5 6 8 9 5 0 0 Key: 3 2 means 32 4. Respective frequencies: 1, 4, 5, 3, 2 287 Holt Algebra 1
Answer Key continued 5. 6. mean: 57.4; median: 56; mode: 52, 54, 55, and 56 7. 8. The sections of the graph do not add to 0%. 9. 4 80% 5. 16,000 11. 1 2 12. 1:8 13. 1 36 14. 7 15 15. 56 Form B 1. from 2004 to 2005 2. 3. Stem Leaves 0 7 9 9 9 1 3 5 6 2 0 6 3 4 4 Key : 1 3 means 13 4. [frequencies for table:] 3, 3, 5, 2, 5. 6. mean: 59.3; median: 60; mode: 57 and 61 7. 8. The scale on the vertical axis does not begin at 0, which exaggerates the differences between the heights of the bars. 9. 1 20% 5. 120 11. 1 3 12. 7:3 13. 4 9 14. 5 12 15. 120; combinations A circle graph is appropriate for this data because it shows categories as parts of a whole. 288 Holt Algebra 1
Answer Key continued Form C 1. 12 2. A double-line graph is appropriate because it shows the change in male and female enrollment over time. 3. 49ers Raiders 0 0 3 9 4 4 3 1 3 4 4 7 7 7 2 1 6 1 3 0 Key: 1 3 means 13 7 2 means 27 4. Respective frequencies: 2, 4, 3, 1, 4 5. 6. mean: 21.9; median: 21.3; mode: 18 7. 8. The sample size is much too small to accurately reflect the opinion of a majority of students. 9. 5 83% 6. 172 11. 2 13 12. 3 7 13. 1 729 14. 4 33 15. 1320; permutations Performance Assessment 1. Combinations; the order of your guesses does not matter. 2. 26 C 7 26! 657,800 7!19! 3. 1 657,800 4. 267 C 6 19 C 6 27,132 5. 19 C 6 26 C 6 27,132 230,230 13,566 12% 115,115 6. 0; you are only allowed to guess 1 more vowel, but there are still 2 vowels (I and U) missing, so it is impossible. Cumulative Test 1. A 2. G 3. C 4. G 5. D 6. H 7. B 8. J 9. A. H 11. D 12. H 13. A 289 Holt Algebra 1