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Mission: F.C.A.T. Data Analysis & Probability 1. The test scores for Angelica for the first 9-week grading period are shown. Which value represents the mean score for Angelica? Angelica’s Test Score 86 93 84 98 89 A. 88 C. 90 B. 89 D. 91 2. A survey was taken in Mr. Taylor’s third period class, where each student was to indicate the month in which they were born. The results of the survey were 8 students were born in January, 7 were born in May, 1 was born in June, 5 were born in July and 3 were born in October. If one person, in the class, is selected at random, what is the probability they were born in July? 5 Answers: 1) C 2) or .2083 24 Mission: F.C.A.T. Data Analysis & Probability 1. Which number CANNOT represent the probability of an event? 2 5 A. C. 3 4 B. 75% D. 0.45 2. Mrs. James has 33 students in her first period class. Fifteen of the students have brown hair. If one person in her class is chosen at random what is the probability they will NOT have brown hair? 15 15 F. H. 33 18 18 1 G. I. 33 33 Answers: 1) C 2) G Mission: F.C.A.T. Data Analysis & Probability 1. Mid-Florida Credit Union has checkbook covers that are either spiral style or pocket size. The covers come in black, navy, red, or blue. The customer’s name will be imprinted on the cover in silver or gold letters. How many different choices are available for checkbook covers? 2. The heights, in inches, of the starting string for Edgewood High School’s boy’s basketball team are listed below. 71, 74, 76, 73, 76 Which of these measures of central tendency would make the team members seem as tall as possible? A. mean C. mode B. median D. range Answers: 1) 16 2) C Mission: F.C.A.T. Data Analysis & Probability 1. The chart below shows the efficiency ratings of four word processing clerks. Tracy, for example, can process between 50 and 60 words per minute. Which clerk should be given a 12,000 word document for entry if the manager wants it completed in the least amount of time? 60 55 Processing 50 Speed 45 w/p/m 40 35 Tracy Paul Vera Karl Clerk A. Tracy C. Vera B. Paul D. Karl Answers: 1) D Mission: F.C.A.T. Data Analysis & Probability 1. A bag contains 8 blue marbles, 7 red marbles, 6 green marbles and 4 yellow marbles. Determine the probability that the following events will occur. a) A blue marble is picked. b) A red or yellow marble is picked. c) A blue or red or green marble is picked. d) A purple marble is picked. a b c d 8 11 21 Answers: a) b) c) 4) 0 25 25 25 Mission: F.C.A.T. Name………………………... Data Analysis & Probability 1. How many different 3-letter combinations can be made from the letters b, p, k? (Letter do not have to form a word, but letters can be repeated) A. 27 C. 9 B. 3 D. 6 2. If an event will occur during the year and is likely to occur in any month, what is the probability it will occur by May 31? 3. The height of Janine and her siblings are listed below. 5ft. 4in.; 5ft. 8in.; 5ft. 9 in.; 4ft. 10in. What is the mean height, in inches, of the children? 4. A box contains 10 cards marked 0 to 9. If two cards are drawn at random without replacement, what is the probability that the sum of the two cards is greater than 16? 1 1 1 1 F. G. H. I. 45 14 10 18 5. Consider this set of numbers: 6, 2, 3, 4, 7, 4, 7, 7, 8, 2. The number 7 represents the: A. mode B. mean C. median D. average Mission: F.C.A.T. Name…………………………. Data Analysis & Probability 1. If you roll a pair of fair dice, complete the following. List all the possible ways the faces of the die would produce the following sums. a) sum of 2 __________________________________ b) sum of 12 __________________________________ c) sum of 3 __________________________________ d) sum of 11 __________________________________ e) sum of 4 __________________________________ f) sum of 10 __________________________________ g) sum of 5 __________________________________ h) sum of 9 __________________________________ i) sum of 6 __________________________________ j) sum of 8 __________________________________ k) sum of 7 __________________________________ 2. If your roll a pair of fair dice, what is the probability of getting the following sums? a) sum of 2 __________ g) sum of 5 __________ b) sum of 12 __________ h) sum of 9 __________ c) sum of 3 __________ i) sum of 6 __________ d) sum of 11 __________ j) sum of 8 __________ e) sum of 4 __________ k) sum of 7 __________ f) sum of 10 __________ Mission: F.C.A.T. Name ………………………… Data Analysis & Probability 1. The chart at the right shows the warmest and Warmest on Coldest on coldest recorded temperatures for Florida. What Month record record is the range between the coldest and warmest 79 9 JAN. temperatures? FEB. 80 21 A. 9 MARCH 85 22 B. 16 C. 93 APRIL 90 36 D. 102 MAY 98 47 JUNE 101 48 JULY 102 63 AUG. 99 62 SEPT. 96 50 OCT. 93 37 NOV. 87 24 DEC. 82 13 2. In a traffic survey Molly Patterson found that out of 168 vehicles passing her office building in one hour, 47 of them were sport utility vehicles. What is the probability that a vehicle passing her office building is an SUV? Give your answer as a percent. F. 3.6% H. 28.0% G. 27.9% I. 47.0% 3. When a single fair die is rolled, how many ways could the outcome be “even”? Mission: F.C.A.T. Name ………………………. Data Analysis & Probability 1. The histogram shows the frequency distribution of salaries, in thousands of dollars, among the top engineers in a chemical plant. What percentage of the engineers earn between $55,000 and $60,000? Salaries of Chemical Enginners 6 5 Number of engineers 4 3 2 1 0 35 to 40 40 to 45 45 To 50 50 to 55 55 To 60 60 To 65 Salaries in thousands of dollars A. 20% C. 15% B. 25% D. 33.33% 2. A coin is tossed 70 times, and it comes up heads 43 times. Based on this experiment determine the following probabilities. a) The probability the coin will be a head b) The probability the coin will be a tail. c) The probability the coin will be a head or a tail. a) b) c) Mission: F.C.A.T. Name ……………………………. Data Analysis & Probability 1. Patty is packing for a trip. She is bringing four shirts, three pairs of THINK shorts, and 2 vests. All the clothes are color-coordinated and a SOLVE complete outfit consists of one shirt, one pair of shorts and one vest. EXPLAIN PART A. Use a tree diagram and multiplication to show all the possible combinations for the above situation. PART B. How many possible different outfits can be made? 2. There are six contestants in a local talent show. A picture was taken of the contestants. How many different ways could the contestants be lined up for the picture? 3. A whole number from 1 to 20 is selected randomly. What is the probability that the number is odd? Write your answer as a fraction. Mission: F.C.A.T. Name ………………………... Data Analysis & Probability 1. The Pine Valley High School Volleyball Team is having a great season. In 12 games the opponents had the following scores. 5, 10, 15, 6, 12, 10, 8, 15, 14, 10, 7, 8 a) Find the mean score of the opponents. b) Find the median score of the opponents. c) Find the mode score of the opponents. a) b) c) 2. A manufacturer is testing a new batch of auto parts. Of the 200 parts, 12 did NOT work. Use this sample to predict the number of parts that would NOT work from a batch of 2,200 parts. 3. The Old World Restaurant menu shows 8 flavors of ice cream and 3 toppings. How many ways may a customer have 1 flavor of ice cream and 1 topping? A. 24 B. 19 C. 11 D. 8 Mission: F.C.A.T. Name .………………………... Data Analysis & Probability 1. A type of combination lock consists of 3 numbers, which may have the values of 1 to 20. How many different combinations can be made if the numbers can be repeated? 2. A math class consists of 33 students: 15 are male and 18 are female. The teacher calls students at random to answer questions on the chalkboard. What is the probability that the teacher will call on a girl for the first question? 3. Karen missed her last quiz in math. Her scores on the first three quizzes were 78, 86, and 72. What must she score on the make-up quiz for her average to be 82? A. 88 B. 96 C. 92 D. 82 4. A couple plans to have three children. What is the probability they will have all girls? 1 1 1 1 F. G. H. I. 16 8 6 2 Mission: F.C.A.T. Name.………………………... Data Analysis & Probability 1. A spinner can land on any of the numbers 1 to 8. Determine the probability of the following events. a) The spinner lands on a 4. 8 1 b) The spinner lands on an odd number. 2 c) The spinner lands on a even number 7 d) The spinner lands on a 1 or a 2. 6 e) The spinner lands on a 3 or 4 or 5. 3 f) The spinner lands on a 3 or 5 or 6 or 8. 5 4 a) b) c) d) e) f) Mission: F.C.A.T. Name ………………………... Data Analysis & Probability 1. How many lines are determined by 3 points, no two of which are collinear? 2. How many lines are determined by 4 points, no two of which are collinear? 3. How many lines are determined by 5 points, no two of which are collinear? 4. How many lines are determined by 6 points, no two of which are collinear? 5. How many lines are determined by 7 points, no two of which are collinear? 1. 2. 3. 4. 5. Mission: F.C.A.T. Name …………………………… Data Analysis & Probability 1. There are 12 questions on a true/false test. If all the questions are answered, in how many ways can the test be completed? 2. How many ways can 8 different books be arranged on a shelf? 3. How many six-digit license plates can be made if the first digit cannot be zero and no digits may be repeated? A. 1,000,000 C. 136,080 B. 151,200 D. 60,480 4. How many six-digit license plates can be made if the first digit cannot be zero, but digits can be repeated. F. 1,000,000 H. 136,080 G. 900,000 I. 151,200 Mission: F.C.A.T. Name.………………………... Data Analysis & Probability 1. A bank plans to assign an ID number to each account. Each number will have 5 digits, and no digit will be repeated. How many different account numbers can be form A. 30,240 C. 15,120 B. 100,000 D. 3,125 2. The manager of a baseball team needs to create a lineup for the game. If the lineup consists of 9 players, how many different lineups are possible? F. 5,040 H. 40,320 G. 362,880 I. 100,000 3. The manager of a baseball team needs to create a lineup for the game, but he wants his best hitter to bat 4th. If the lineup consists of 9 players, how many different lineups are possible. A. 5,040 C. 40,320 B. 362,880 D. 100,000 4. The manager of a baseball team needs to create a lineup for the game, but he wants his most consistent hitter to bat 1st and his best hitter to bat 4th. If the lineup consists of 9 players, how many different lineups are possible. F. 5,040 H. 40,320 G. 362,880 I. 100,000 5. Six books labeled A through F are arranged at random on the shelf. What is the probability that they are arranged in alphabetical order?