Core Focus on Proportions & Probability Block 4 Test - PDF

Form A Core Focus on Proportions & Probability Block 4 Test ~ Probability and Random Sampling Name__________________________________________ Period______ Date____________ Part I – Selected Response 1. Corie...

Form A Core Focus on Proportions & Probability Block 4 Test ~ Probability and Random Sampling Name__________________________________________ Period______ Date____________ Part I – Selected Response 1. Corie hit 5 homeruns at batting practice out 4. Maria tossed a coin three times. She wrote of 20 pitches thrown. What is the a list of her possible outcomes. How many experimental probability that Corie will hit a outcomes on her list had at least one Tail? homerun at batting practice? A. 1 A. 1 5 B. 1 4 B. 3 C. 7 C. 1 D. 1 D. 8 3 2 5. You roll a number cube two times. Which A spinner has 4 blue sections, 6 red sections of the theoretical probabilities are accurate? and 2 green sections. It is spun 24 times. Circle all that apply. For numbers 2a – 2c, circle YES or NO to indicate whether you would expect the 1 A. P(1 then 0) = 2 spinner to land on the given color the number of times stated. B. P(even number then odd number) = 1 4 2a. 8 times on blue YES NO C. P(6 then 2) = 361 2b. 18 times on red YES NO D. P(even number then 5) = 1 12 2c. 4 times on green YES NO 1 E. P(odd number then 2) = 6 3. Barak asked 50 students which type of 6. Six people are running a race. In how flower they liked best. The results are many different ways can they finish first and displayed in the pie chart. If Barak asked 200 second? students which flower they liked best, how many students would you predict would A. 2 B. 12 choose tulips? Favorite Flower C. 30 D. 36 Pansies 5 7. Kyle has a lock combination with three Daisies Tulips digits. Every number in the combination must 10 20 be a 0 – 4. What is the probability his Roses combination is 000? 15 1 A. 20 students A. 125 B. 80 students B. 1 64 C. 150 students 1 D. 4,000 students C. 5 1 D. 4 ©2014 SMC Curriculum Core Focus on Proportions & Probability  Form A 8. Yolanda wants to know which seventh 10. The five-number summary and mean for grade student will win the class election. two data sets is shown below. Each data set Which sample will give her the best chance to has 15 values. Which data set has the greatest make an accurate prediction? mean absolute deviation? A survey of 70 students _______. Data Set 1: 5 ~ 10 ~ 15 ~ 20 ~ 25 mean = 16 A. in leadership class. Data Set 2: 40 ~ 42 ~ 44 ~ 46 ~ 48 B. randomly selected from the seventh grade mean = 43 list of students. C. in music class. A. Data Set 1 D. who first respond to the questionnaire given to all seventh grade students. B. Data Set 2 C. Data Set 1 and Data Set 2 have equal mean absolute deviations 9. Fifty students at school were surveyed about their favorite type of music. The data is D. Cannot be determined below. Which inference is the weakest? Favorite Music 11. The scores for tests taken by Kelli and Robert are shown below. Each test is worth Country 20 points. Which statement best compares 14 Rock their median scores? 20 Rap Kelli: 15, 18, 20, 15, 16, 19, 16 16 Robert: 16, 18, 16, 19, 17, 20, 20 A. There are about the same number of A. Their median scores differ by 1 point. students who like rap as like country B. Their median scores differ by 2 points. music. C. They have equal median scores. B. Most students prefer rock music. D. Kelli has a larger median score than C. If given the choice between ‘Rock’ and Robert. ‘Country or Rap’ music, most students would probably choose ‘Country or Rap’. D. Students least prefer country music. ©2014 SMC Curriculum Core Focus on Proportions & Probability  Form A Core Focus on Proportions & Probability Block 4 Test ~ Probability and Random Sampling Name__________________________________________ Period______ Date____________ Part II – Constructed Response Carla had a deck of cards numbered 1 to 20. She randomly chose a card from the deck. Find each probability for the card she chose. 1. P(5) 2. P(even number) 3. P(25) 4. P(not 1 through 5) 5. There are 6 red, 9 blue and 5 green marbles in a bag. Samantha reaches into the bag and chooses one marble. Which color has a 14 chance of being chosen? Explain how you know your answer is correct. 6. Javier wanted to estimate the number of mustangs in a wild herd. He tagged 8 mustangs and sent them back to their herd. The next month he spotted 2 tagged mustangs out of the 15 mustangs spotted. Estimate the size of the mustang population. Show all work necessary to justify your answer. 7. Quinn rolled a regular number cube 42 times. How many times would you predict he rolled a 6? Explain your reasoning. 8. The following histogram shows the number of homeruns hit by students at a baseball camp. Homerun Totals a. How many students were at the baseball camp? b. Find the probability that a randomly chosen student hit between 5 and 10 homeruns. ©2014 SMC Curriculum Core Focus on Proportions & Probability  Form A 9. You have three cards numbered 1, 2 and 3 and three cards labeled A, B and C. You choose one card from each deck. How many different pairs of cards are possible? Show a tree diagram, list or table to support your answer. 10. Tami takes a multiple choice test. It has five questions. There are three possible answers for each question. If Tami guesses on each question, what is the probability she answers them all correctly? 11. Shaun spins a spinner with the numbers 1 – 8, each equally likely. She then rolls a number cube. What is the probability Shaun spins a 5 and rolls a 5? 12. There are two school activities Friday night. One is a basketball game and the other is a talent show. Isla wants to know which activity more people will attend. She decides to ask her 20 closest friends. She decides most people will be going to the talent show based on their responses. Is her prediction accurate based on the sample surveyed? Explain your reaoning. 13. Two different random samples were used to determine students’ favorite park in town. The results are below. Make at least two inferences. Lake Park Tree Park Bird Park Dog Park TOTAL Sample 1 10 35 20 10 75 Sample 2 20 40 15 5 80 ©2014 SMC Curriculum Core Focus on Proportions & Probability  Form A Use the data below to answer numbers 14 – 20. The data shows the number of minutes it took students to run a mile at the start of the year and at the end of the year. Start of the year: 5, 6, 7, 8, 8, 9, 10, 10, 13, 14 End of the year: 6, 5, 10, 4, 5, 8, 8, 9, 5, 10 14. Find the mean of each data set. 15. Find the median of each data set. 16. Charlie said the means differed by 1.5 minutes. Is his comparison accurate? Explain your reasoning. 17. Find the five-number summary of 18. Find the interquartile range of each data set. each data set. 19. Find the mean absolute deviation of each data set. 20. Write one sentence comparing a measure of variability between the two data sets. ©2014 SMC Curriculum Core Focus on Proportions & Probability  Form A Core Focus on Proportions & Probability Block 4 Test ~ Probability and Random Sampling Name__________________________________________ Period______ Date____________ Part III – Problem Solving Javier interviewed a random sample of 200 students at his school. He asked each student what type of movie they preferred to watch and what one snack they preferred to eat with a movie. The results are below. Favorite Movie Favorite Number of Drama Snack Students 40 Action 80 Popcorn 100 Candy 80 Comedy 80 Other 20 There are 600 students in Javier’s school. Based on the data Javier gathered, what is the probability the next student Javier asks will prefer an action movie and a snack of popcorn? ©2014 SMC Curriculum Core Focus on Proportions & Probability