Description Answer the following questions using what you've learned from this unit. Write your ...
Description Answer the following questions using what you've learned from this unit. Write your responses in the space provided. Scoring: Each question is worth 1 point. For questions 1 – 3, describe the shape of each distribution. Use these distributions to answer questions 1 – 6. 1. Describe the shape of distribution A: Answer choices: Symmetric Negatively skewed Positively skewed Uniform 2. Describe the shape of distribution B: Answer choices: Symmetric Negatively skewed Positively skewed Uniform 3. Describe the shape of distribution C: Answer choices: Symmetric Negatively skewed Positively skewed Uniform For questions 4 – 6, compare the mean and median of each distribution. 4. The median of distribution A is 8. Which of these could be the mean? Answer choices: 7 8 9 It can't be determined. 5. The median of distribution B is 8. Which of these could be the mean? Answer choices: 7 8 9 It can't be determined. 6. The median of distribution C is 8. Which of these could be the mean? Answer choices: 7 8 9 It can't be determined. For questions 7 – 9, use the dot plots to compare the shapes, centers, and spreads of the distributions. 7. Compare the shapes of distributions A and B: Answer choices: A is positively skewed, and B is negatively skewed. Both A and B are positively skewed. Both A and B are negatively skewed. A is negatively skewed, and B is positively skewed. 8. Compare the centers of distributions A and B: Answer choices: The median of A (7) is greater than the median of B (3). The median of A (8.5) is greater than the median of B (2). The median of A (6.3) is greater than the median of B (3.9). 9. Compare the spreads of distributions A and B: Answer choices: The spread of A (8) is greater than the spread of B (6). The spread of A (9) is less than the spread of B (10). The spread of A (8) is less than the spread of B (9). For questions 10 – 13, use the box plots to compare the shapes, centers, and spreads of the distributions. 10. Compare the shapes of the distributions for team A and team B. Answer choices: A is positively skewed, and B is negatively skewed. A is positively skewed, and B is symmetric. Both A and B are positively skewed. Both A and B are symmetric. 11. Compare the centers of team A and team B. Answer choices: The median of A (8) is the same as the median of B (8). The mean of A (6) is less than the mean of B (6.5). The median of A (10) is greater than the median of B (9). The median of A (6) is less than the median of B (6.5). 12. Compare the spreads of team A and team B. Answer choices: The IQR of team A (3) is the same as the IQR of team B (3). The IQR of team A (2) is greater than the IQR of team B (1.5). The IQR of team A (1) is less than the IQR of team B (1.5). The range of team A (4) is less than the range of team B (2.5). 13. Compare the team scores in context. Select all true statements. Answer choices: The low score for both teams is 4. Team A's scores varied more than team B's. The typical score was the same for both teams. Team A had the highest score. For questions 14 – 15, identify the effect of each transformation. The mean of a data set is a, and the median is b. Identify the result of each transformation. 14. If each value is multiplied by 3, the new mean will be: Answer choices: a 3a 9a a + 3 15. If 5 is added to each value, the new median will be: Answer choices: b 5b b + 5 b – 5 For questions 16 – 17, identify the effect of the transformation. The mean ticket price to a live theater show is $40. The standard deviation is $12. The ticket prices are all increased by 10% (multiplied by 1.1). 16. What is the new mean? Answer choices: $40 $41 $44 $50 17. What is the new standard deviation? Answer choices: $12 $13 $13.20 It can't be determined. For questions 18 – 20, identify the effects of each transformation. Use the following data set to answer questions 18 – 20: 8, 9, 13, 17, 18 (Consider these numbers a population.) 18. If 20 is added to each number in the above data set, what will the new median be? Answer choices: 13 29 33 37 19. If each number in the above data set is multiplied by 5, what will the new mean be? Answer choices: 13 65 85 90 20. If 20 is added to each number in the above data set, the new standard deviation will be: Answer choices: the same. greater by 20. less by 20. 20 times larger. Copyright © 2019 Apex Learning Inc. Use of this material is subject to Apex Learning's Terms of Use. Any unauthorized copying, reuse, or redistribution is prohibited. Apex Learning ® and the Apex Learning Logo are registered trademarks of Apex Learning Inc.
