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Algebra 1B Name: __________________________ Ch.12 Review Simplify. 10 7 2 3 1. 5 2 3 1 8 1.1 4 2.4 2. 3 3.8 3 2.2 10 4.7 4 0.9 2 1 3. 3 7 5 2.5 0.2 4. 6 4.2 2 1.8 5.4 5. Use the data given to answer the following questions. Cost (dollars): 9, 13, 48, 31, 20, 26, 39, 11, 7, 13, 38, 42, 23, 29, 22 a. Make a frequency table and a cumulative frequency table. Weight 0-9 10-19 20-29 30-39 40-49 b. Make a histogram. Frequency Cumul. Freq. Find the mean, median, mode and range of each data set. 6. 10, 23, 30, 42, 14, 21, 40, 30, 24, 9, 33, 35 6. Mean: _________________ Median: ________________ Mode: _________________ Range: _________________ 7. Brianna scored 15, 21, 12, 16, 8, 14 points in the first 6 basketball games. How many does she have to score in the 7th game to have an average of at least 15 points a game? 8. Points per Game: 103, 91, 83, 105, 97, 89, 110, 96, 91, 97, 101 a. Minimum: ____________ b. Maximum: ____________ c. First Quartile: __________ d. Median: ______________ e. Third Quartile: _________ f. Make a box and whisker plot. Determine whether each data set is qualitative or quantitative (circle one) 9. Cost of gas 9. qualitative or quantitative 10. Colors 10. qualitative or quantitative Determine whether each data set in univariate or bivariate (circle one) 11. Height and weight of babies 11. univariate or bivariate 12. Grades on a test 12. univariate or bivariate Determine whether the sampling method is random, systematic or stratified (circle one). Tell whether the method will produce a good sample and why. 13. A bicycle maker checks the quality of every 5 bike. random, systematic or stratified 14. A counselor chooses 25 students from each grade level to survey about their extracurricular activities. random, systematic or stratified Determine whether each question or sampling is biased or non-biased (circle one). Explain your answer. 15. Would you rather read a paper copy of a book or an electronic version of a book? Biased or non- biased 16. You want to find out how many times a month students at your school go to the movies. You ask all your friends. Biased or non- biased You spin a spinner that has 20 equal sized sections numbered 1 to 20. Find the theoretical probability. 17. P(16) 18. P(even number) 17. _______________________ 18. _______________________ 19. P(not 9) 20. P(prime number) 19. _______________________ 20. _______________________ You choose a marble at random from a bag containing 7 yellow marbles, 5 black marbles and 6 blue marbles. Find the odds. 21. Odds in favor of yellow 22. Odds in favor of blue 21. _______________________ 22. _______________________ 23. Odds against black 24. Odds against blue 23. _______________________ 24. _______________________ One hundred and twenty randomly selected students at Central High School were asked to name their favorite subject. The results are as follows: Art – 24, Math – 36, English – 31, Social Studies - 29. Find the experimental probability that a student selected at random makes the given response. 25. P(english) 25. _______________________ 26. P(math) 26. _______________________ 27. P(art) 27. _______________________ 28. P(social studies) 28. _______________________ You spin a spinner that has 18 equal sized sections numbered 1 to 18. Find each probability. 29. P(2 or 4) 30. P(odd or 6) 29. _______________________ 30. _______________________ 31. P(multiple of 2 or odd) 32. P(odd or greater than 3) 31. _______________________ 32. _______________________ You roll a black number cube and a white number cube. Find each probability. 33. P(black less than 4 and white even) 34. P(black odd and white 5) 33. _______________________ 34. _______________________ 35. P(black greater than 3 and black even) 36. P(black 3 or 4 and white prime) 35. _______________________ 36. _______________________ You choose a tile at random from a bag containing 10 tiles with R, 8 tiles with S and 5 tiles with T. You replace the tile and then choose again. Find each probability. 37. P(S and S) 38. P(T and T) 37. _______________________ 38. _______________________ 39. P(R and T) 40. P(T and S) 39. _______________________ 40. _______________________ You choose a marble at random from a bag containing 8 yellow marbles, 6 red marbles and 9 blue marbles. You pick a second marble without replacing the first. Find each probability. 41. P(red then blue) 42. P(yellow then yellow) 41. _______________________ 42. _______________________ 43. P(yellow then blue) 44. P(red then red) 43. _______________________ 44. _______________________