Unit Test - Probability and Statistics

*KEY* Probability & Statistic Unit Test 1. Equally likely 2. Conditional Probability 3. Permutation 4. Probability 5. Dependent 6. A 7. A 8. C 9. 6 10. 21 11. 30 12. 0.2 13. 30/49 14. 12/19 15. Not mutually exclusive 16. Mean: 54.7, Median: 53.5, Mode: no mode, Q1: 42, Q2: 69 17. 220, 84 18. Sample answer: The mean is the average of a data set. The mode is the value that occurs most often in a data set. The median is the number in the middle when a data set is arranged in order from least to greatest. *KEY* Probability & Statistic Unit Test 1. Equally likely 2. Conditional Probability 3. Permutation 4. Probability 5. Dependent 6. B 7. A 8. C 9. 30 10. 10 11. 744 12. 0.2 13. 1/8 14. 30/49 15. 18/25 16. 12/19 17. Not mutually exclusive 18. Not mutually exclusive 19. Mean: 54.7, Median: 53.5, Mode: no mode, Q1: 42, Q2: 69 20. 220, 84 21. Sample answer: Measures of central tendency are ways to describe a “middle” value of a data set. Standard deviation describes how data are spread out from a particular middle value. Probability & Statistic Unit Test Directions: You may use a calculator to complete the test, but be sure to show all your work when necessary. Partial credit is possible, and points are list in parentheses. Vocabulary – Fill-in the blank with the appropriate vocabulary word. (1 point each) 1. If each outcome has the same chance of occurring, then the events are _______________. 2. The probability that an event, B, will occur given that another event, A, has already occurred is called a _______________________. 3. A ___________________ is an arrangement of items in a particular order. 4. _______________ measures how likely it is for an event to occur. 5. Two events are ___________________ if the occurrence of one event affects the probability of the second event. Multiple Choice – Circle the best answer. (1 point each) 6. A value that is substantially different from the other data values is called the ________? a. Mode b. Outlier c. Median d. Interquartile range 7. A selection in which order does not matter is called ________________. a. Combination b. Fundamental Counting Principle c. Mutually Exclusive d. Permutation 8. The mean of a data set is also known as the ___________________. a. Median b. Range c. Average d. Standard Deviation Computation – Read the questions carefully and be sure to show all work. Evaluate each of the following (2 points each): 9. 10. 4C3 + 6C5 11. 4P3 + 6P5 Q and R are independent events. Find P(A and B). (2 points each) 12. P(Q) = 0.5, P(R) = 0.4 13. P(Q) = , P(Q) = Use the table for #14-16. (2 points each) Age of Respondent < 30 0-4 7 5 or more 18 ≥ 30 12 12 14. Find P(5 or more). 15. Find P(5 or more | age < 30). 16. Find P(age ≥ 30 | 0-4) Number of Groups Two standard dice are tossed. For #17 and #18, state whether the events are mutually exclusive. (1 point each) 17. One of the numbers is 1 less than the other. The sum is odd. 18. The sum is greater than 10. Six is one of the numbers. Find the mean, median, mode, Q1, and Q3 for #19. (5 points) 19. 36 38 42 47 51 56 62 69 70 74 20. On a camping trip, you bring 12 items for 4 dinners. For each dinner, you use 3 items. In how many ways can you choose the 3 items for dinner for the first dinner? For the second dinner? (4 points) Short Answer – Answer the following question using complete and proper sentences. (5 points) 21. How are measures of central tendency different from standard deviation? Probability & Statistic Unit Test (Modified) Directions: You may use a calculator to complete the test, but be sure to show all your work when necessary. Partial credit is possible, and points are list in parentheses. Vocabulary – Fill-in the blank with the appropriate vocabulary word. (1 point each) Word Bank: Conditional Probability Equally Likely Probability Dependent Permutation 1. If each outcome has the same chance of occurring, then the events are _______________. 2. The probability that an event, B, will occur given that another event, A, has already occurred is called a _______________________. 3. A ___________________ is an arrangement of items in a particular order. 4. _______________ measures how likely it is for an event to occur. 5. Two events are ___________________ if the occurrence of one event affects the probability of the second event. Multiple Choice – Circle the best answer. (1 point each) 6. A value that is substantially different from the other data values is called the ________? a. Outlier b. Median c. Interquartile range 7. A selection in which order does not matter is called ________________. a. Combination b. Fundamental Counting Principle c. Permutation 8. The mean of a data set is also known as the ___________________. a. Median b. Range c. Average Computation – Read the questions carefully and be sure to show all work. Evaluate each of the following (2 points each): 9. 3! 10. 7C2 11. 6P2 Q and R are independent events. Find P(A and B). (2 points) 12. P(Q) = 0.5, P(R) = 0.4 Use the table for #13 & #14. (2 points each) Age of Respondent 13. Find P(5 or more). 14. Find P(age ≥ 30 | 0-4) Number of Groups < 30 0-4 7 5 or more 18 ≥ 30 12 12 Two standard dice are tossed. For #15, state whether the events are mutually exclusive. (1 point) 15. One of the numbers is 1 less than the other. The sum is odd. Find the mean, median, mode, Q1, and Q3 for #19. (5 points) 16. 36 38 42 47 51 56 62 69 70 74 a. Mean – b. Median – c. Mode – d. Q1 – e. Q2 – 17. On a camping trip, you bring 12 items for 4 dinners. For each dinner, you use 3 items. In how many ways can you choose the 3 items for dinner for the first dinner? For the second dinner? (4 points) Short Answer – Answer the following question using complete and proper sentences. (5 points) 18. List and describe the three measures of central tendency.