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Statistics Review Date: Name: 1. A set of data consists of 3, 3, 6, 4, and 9. The median for these data is A. 2. B. 5 C. 3 D. 4 90 B. 89 C. 87 6 B. 8 10. C. 9 D. 10 B. C. 3 D. 7 2 84 B. 81 C. 80 11. 12. 84 B. 83 C. 82 D. 80 6. Express, in terms of x, the mean of (4x (2x + 3), and (3x + 3). 7. Thirteen students took a math test. The number of errors was 3, 7, 4, 0, 4, 1, 5, 4, 7, 3, 4, 5, and 7. What is the mode of this distribution? Find, in terms of x, the mean of 3x and 4x + 11. 6), 5, 5x B. 3y + 2 C. 3y + 4 D. y + 1 13 B. 41 C. 72 D. 75 Which statement is true about the data set 3, 4, 5, 6, 7, 7, 10? A. mean = mode B. mean > mode C. mean = median D. mean < median 13. The heights, in inches, of 10 high school varsity basketball players are 78, 79, 79, 72, 75, 71, 74, 74, 83, and 71. Find the interquartile range of this data set. 14. The mean of four numbers is 10. If three of the numbers are 7, 8, and 11, what is the fourth number? 15. The mean of 10, 12, 14, and x is 13. Find the value of x. 16. Given the set of numbers f30; 42; x; 50; 54; 80g. If the median is 49, what is the value of x ? 6, page 1 3y + 1 1? What is the range of the following data? 72, 65, 97, 56, 85 A. D. 78 The set of scores on a mathematics test is 72, 80, 80, 82, 87, 89, and 91. The mean score is A. What is the mean (average) of 4y + 3 and 2y A. In Syracuse, high temperatures for six days were recorded at 90 , 84 , 84 , 78 , 73 , and 71 . What is the median temperature for these days? A. 8. 5 What is the median of the following group of numbers? A. 5. A. D. 82 5, 6, 6, 10, 10, 17 4. The accompanying histogram shows the distribution of the number of children in the families of the students in a ninth-grade class. The mode of the set of data in the histogram is Pat's grades on Course I tests were 90, 75, 98, 82, 90, and 87. The mode of her grades is A. 3. 6 9. 17. When Paula went bowling, she scored 118 and 138 in her rst two games. What must she score in a third game to have an average score of 132? 18. Three numbers are represented by 2x, 3x, and 4x. If the mean of these three numbers is 15, what is the value of x ? 19. For the group data, 3, 3, 5, 8, 18, which is true? A. median > mean B. C. mean > median D. median = mode The mean of four numbers is 5. Find the sum of the four numbers. 21. If a group of data consists of the numbers 2, 2, 5, 6, and 15, which statement is true? A. median > mean B. C. mode < median D. median = mode The scores on a test were 70, 75, 75, 85, and 90. Which statements about the scores is true? A. The mean, median, and mode have the same value. B. Only the mean and the median have the same value. C. Only the mode and the median have the same value. D. The mean, median, and mode have di erent values. mode > mean 20. 22. 24. 25. In a basketball game, the number of points scored by ve members of the team were 28, 20, 16, 15, and 8. How many players scored fewer than the mean number of points? 26. Which inequality is true for the set of data 9, 12, 6, 7, 8, 9, 3? mean = mode Which statement is true about the following set of data? A. mean < median < mode B. median < mean < mode C. mode < mean < median D. mean < mode < median 85, 80, 90, 85, 85 23. A. mean > mode B. C. median > mode D. mean = median 27. mean > median The chart shows how the cost of a speci c notebook varied over a 5-week period. For which group of data does the mean equal the mode? A. 4, 4, 5, 6 B. 4, 5, 6, 6 C. 4, 5, 5, 6 D. 4, 5, 5, 8 Week Cost 1 2 3 4 5 $5.00 $5.25 $3.00 $3.50 $4.75 Based on the chart, which statement is true about the cost of this notebook over this period? A. The mode was $3.00. B. The mean was $4.30. C. The median was $4.50. D. The median was $3.00. page 2 Statistics Review 28. Mr. Taylor raised all his students' scores on a recent test by ve points. How were the mean and the range of the scores a ected? A. The mean increased by increased by ve. ve and the range B. The mean increased by remained the same. ve and the range C. The mean remained the same and the range increased by ve. 33. A. 30. The mean (average) weight of three dogs is 38 pounds. One of the dogs, Sparky, weighs 46 pounds. The other two dogs, Eddie and Sandy, have the same weight. Find Eddie's weight. A. 31. 32. Tuesday 73 Wednesday 75 Thursday 69 Friday 67 Saturday 63 69 B. 70 C. 37. D. 75 Judy needs a mean (average) score of 86 on four tests to earn a midterm grade of B. If the mean of her scores for the rst three tests was 83, what is the lowest score on a 100-point scale that she can receive on the fourth test to have a midterm grade of B? 38. For ve algebra examinations, Maria has an average of 88. What must she score on the sixth test to bring her average up to exactly 90? A. 92 B. 94 C. 98 D. 100 A. Eighty scores are at or below 75. B. Seventy- ve scores are at or below 80. C. Seventy- ve percent of the scores are at or below 80. On a quiz taken by 24 students, the 75th percentile was 84. How many students scored higher than 84? A. 73 80 For a set of scores, 80 is the score for the 75th percentile. Which statement is true? 36. 68 73 C. D. Eighty percent of the scores are at or below 75. Temperature (F ) Monday 65 35. Daily High Temperature in Middletown Sunday B. On the rst six tests in her social studies course, Jerelyn's scores were 92, 78, 86, 92, 95, and 91. Determine the median and the mode of her scores. If Jerelyn took a seventh test and raised the mean of her scores exactly 1 point, what was her score on the seventh test? What was the median high temperature in Middletown during the 7-day period shown in the accompanying table? Day 58 34. D. The mean remained the same and the range remained the same. 29. During each marking period, there are ve tests. If Vanita needs a 65 average to pass this marking period and her rst four grades are 60, 72, 55, and 80, what is the lowest score she can earn on the last test to have a passing average? 6 B. 12 C. 18 D. 21 Which measure is always the same as the 50th percentile? A. mean B. median C. mode D. lower quartile On a math test, 5 out of 20 students scored 70 or below. A score of 70 on this test would be the A. lower quartile B. median C. upper quartile D. 70th percentile D. 100 page 3 Statistics Review 39. On a mathematics test, Bob scored at the 80th percentile. Which statement is true? 43. In the accompanying diagram, the shaded area represents approximately 95% of the scores on a standardized test. If these scores ranged from 78 to 92, which could be the standard deviation? A. Bob scored 80% on his test. B. Bob answered 80 questions correctly. A. 3.5 B. C. Eighty percent of the students who took the test had the same score as Bob did. C. 14.0 D. 20.0 7.0 D. Eighty percent of the students who took the test had a score equal to or less than Bob's score. 40. 41. 44. The term “snowstorms of note” applies to all snowfalls over 6 inches. The snowfall amounts for snowstorms of note in Utica, New York, over a four-year period are as follows: 7.1, 9.2, 8.0, 6.1, 14.4, 8.5, 6.1, 6.8, 7.7, 21.5, 6.7, 9.0, 8.4, 7.0, 11.5, 14.1, 9.5, 8.6 Which measure is always the same as the 25th percentile? A. mean B. median C. upper quartile D. lower quartile What are the mean and population standard deviation for these data, to the nearest hundredth? On a standardized test, the distribution of scores is normal, the mean of the scores is 75, and the standard deviation is 5.8. If a student scored 83, the student's score ranks A. below the 75th percentile B. between the 75th percentile and the 84th percentile C. between the 84th percentile and the 97th percentile 45. The freshman class held a canned food drive for 12 weeks. The results are summarized in the table below. 46. Canned Food Drive Results Week 1 Number 20 of Cans 2 3 4 35 32 45 5 6 7 8 58 46 28 23 9 10 11 12 31 79 65 62 Which number represents the second quartile of the number of cans of food collected? A. 29.5 B. 30.5 C. 40 mean = 9.46; standard deviation = 3.74 B. mean = 9.46; standard deviation = 3.85 C. mean = 9.45; standard deviation = 3.74 D. mean = 9.45; standard deviation = 3.85 D. above the 97th percentile 42. A. On a standardized test with a normal distribution, the mean is 20 and the standard deviation is 2.6. In which interval would the greatest number of scores occur? A. 12.2–14.8 B. C. 22.6–25.2 D. 27.8–30.4 On a standardized test with normal distribution, the mean is 75 and the standard deviation is 3. Within which range should approximately 95% of the score lie? A. D. 60 47. 72–78 B. 69–81 C. 66–84 D. 63–87 In a standardized test with a normal distribution of scores, the mean was 75 and the standard deviation was 5.2. Which score could be expected to occur less than 5% of the game? A. page 4 17.4–20.0 95 B. 85 C. 75 D. 65 Statistics Review 48. On a standardized test with normal distribution of scores, the mean score is 82 and the standard deviation is 6. Which interval contains 95% of the scores? A. 49. 50. 70–94 C. 76–88 D. 76–94 A. 61–66 inches B. C. 63.5–68.5 inches D. 66–71 inches 61–71 inches 68 B. 71 C. 77 D. 80 On a standardized test with a standard deviation of 2, a score of 26 will occur fewer than 5 times out of 100. Which score could be the mean for this test? 20 B. 23 C. 24 72 B. 78 C. 84 A. The standard deviation for the English scores is greater than the standard deviation for the math scores. B. The standard deviation for the math scores is greater than the standard deviation for the English scores. C. The standard deviations for both sets of scores are equal. 54. Beth's scores on the six Earth science tests she took this semester are 100, 95, 55, 85, 75, and 100. For this population, how many scores are within one standard deviation of the mean? 55. Which method of collecting data would most likely result in an unbiased random sample? A. selecting every third teenager leaving a movie theater to answer a survey about entertainment B. placing a survey in a local newspaper to determine how people voted in the 2004 presidential election C. selecting students by the last digit of their school ID number to participate in a survey about cafeteria food D. 25 On a standardized test, Phyllis scored 84, exactly one standard deviation above the mean. If the standard deviation for the test is 6, what is the mean score for the test? A. Jean's scores on ve mathematics tests were 98, 97, 99, 98, and 96. Her scores on ve English tests were 78, 84, 95, 72, and 79. Which statement is true about the standard deviations for the scores? D. More information is needed to determine the relationship between the standard deviations. On a standardized test, Cathy had a score of 74, which was exactly 1 standard deviation below the mean. If the standard deviation for the test is 6, what is the mean score for the test? A. 52. B. The heights of the girls in the eleventh grade are normally distributed with a mean of 66 inches and a standard deviation of 2.5 inches. In which interval do approximately 95% of the heights fall? A. 51. 70–82 53. D. surveying honor students taking Mathematics B to determine the average amount of time students in a school spend doing homework each night D. 90 page 5 Statistics Review 56. A school newspaper will survey students about the quality of the school's lunch program. Which method will create the least biased results? A. Twenty- ve vegetarians are randomly surveyed. B. Twenty- ve students are randomly chosen from each grade level. C. Students who dislike the school's lunch program are chosen to complete the survey. 59. What is the median score? A. D. A booth is set up in the cafeteria for the students to voluntarily complete the survey. 57. 60. The accompanying diagram is an example of which type of graph? A. bar graph B. stem-and-leaf plot C. histogram 70 B. 75 C. 77 D. 85 The accompanying box-and-whisker plots can be used to compare the annual incomes of three professions. Based on the box-and-whisker plots, which statement is true? D. box-and-whisker plot 58. The accompanying box-and-whisker plot represents the scores earned on a science test. The accompanying diagram shows a box-and-whisker plot of student test scores on last year's Mathematics A midterm examination. What is the median score? A. The median income for nuclear engineers is greater than the income of all musicians. B. The median income for police o cers and musicians is the same. C. All nuclear engineers earn more than all police o cers. D. A musician will eventually earn more than a police o cer. 61. A. 62 B. 71 C. 81 D. 92 What is the value of the third quartile shown on the box-and-whisker plot below? A. page 6 6 B. 8.5 C. 10 D. 12 Statistics Review 62. A movie theater recorded the number of tickets sold daily for a popular movie during the month of June. The box-and-whisker plot shown below represents the data for the number of tickets sold, in hundreds. 65. The box-and-whisker plot below represents the math test scores of 20 students. What percentage of the test scores are less than 72? A. Which conclusion can be made using this plot? 66. A. The second quartile is 600. B. The mean of the attendance is 400. C. The range of the attendance is 300 to 600. D. Twenty- ve percent of the attendance is between 300 and 400. 63. 25 B. 50 C. 75 D. 100 The box-and-whisker plot below represents the results of test scores in a math class. What do the scores 65, 85, and 100 represent? The box-and-whisker plot below represents students' scores on a recent English test. A. Q1 , median, Q3 B. Q1 , Q3 , maximum C. median, Q1 , maximum D. minimum, median, maximum 67. What is the value of the upper quartile? A. 68 B. 76 C. 84 D. 94 The box-and-whisker plot shown below represents the number of magazine subscriptions sold by members of a club. 64. The test scores from Mrs. Gray's math class are shown below. Which statistical measures do points B, D, and E represent, respectively? 72, 73, 66, 71, 82, 85, 95, 85, 86, 89, 91, 92 Construct a box-and-whisker plot to display these data. A. minimum, median, maximum B. rst quartile, median, third quartile C. rst quartile, third quartile, maximum D. median, third quartile, maximum page 7 Statistics Review 68. The relationship of a woman's shoe size and length of a woman's foot, in inches, is given in the accompanying table. Women's Shoe Size Foot Length (in) 5 6 7 71. Which scatter diagram shows the strongest positive correlation? A. 8 9.00 9.25 9.50 9.75 The linear correlation coe cient for this relationship is A. 69. 70. 1 B. 1 C. 0.5 D. 0 B. A linear regression equation of best t between a student's attendance and the degree of success in school is h = 0:5x + 68:5. The correlation coe cient, r, for these data would be A. 0<r<1 B. 1<r<0 C. r=0 D. r = 1 C. Which graph represents data used in a linear regression that produces a correlation coe cient closest to 1 ? A. D. B. 72. What could be the approximate value of the correlation coe cient for the accompanying scatter plot? C. D. A. page 8 0.85 B. 0.16 C. 0.21 D. 0.90 Statistics Review 73. The accompanying table shows the percent of the adult population that married before age 25 in several di erent years. Using the year as the independent variable, nd the linear regression equation. Round the regression coe cients to the nearest hundredth. 74. In the physics lab, Thelma determined the kinetic energy, KE, of an object at various velocities, V, and found the linear correlation coe cient between KE and V to be +0.8. Which graph shows this relationship? A. Using the equation found above, estimate the percent of the adult population in the year 2009 that will marry before age 25, and round to the nearest tenth of a percent. Year (x) Percent (y) 1971 42.4 1980 37.1 1976 1984 1989 37.4 34.1 32.1 1993 28.8 2000 25.5 1997 B. 25.7 C. D. page 9 Statistics Review 75. There is a negative correlation between the number of hours a student watches television and his or her social studies test score. Which scatter plot below displays this correlation? 76. Which equation most closely represents the line of best t for the scatter plot below? A. B. C. 77. y = 23 x + 1 A. y=x B. C. y = 32 x + 4 D. y = 32 x + 1 The number of hours spent on math homework each week and the nal exam grades for twelve students in Mr. Dylan's algebra class are plotted below. D. Based on a line of best t, which exam grade is the best prediction for a student who spends about 4 hours on math homework each week? A. page 10 62 B. 72 C. 82 D. 92 Statistics Review 78. Which scatter plot shows the relationship between x and y if x represents a student score on a test and y represents the number of incorrect answers a student received on the same test? 79. The school store did a study comparing the cost of a sweatshirt with the number of sweatshirts sold. The price was changed several times and the numbers of sweatshirts sold were recorded. The data are shown in the table below. A. Cost of Sweatshirt Number Sold $10 $25 9 6 $15 $20 $5 15 11 14 Which scatter plot best represents the data? A. B. B. C. C. D. D. page 11 Statistics Review 80. The maximum height and speed of various roller coasters in North America are shown in the table below. Maximum Speed, in mph, (x) Maximum Height, in feet, (y) 45 50 54 60 65 70 63 80 105 118 141 107 Which graph represents a correct scatter plot of the data? A. B. C. D. page 12 Statistics Review 81. The scatter plot below represents the relationship between the number of peanuts a student eats and the student's bowling score. 83. A cup of soup is left on a countertop to cool. The table below gives the temperatures, in degrees Fahrenheit, of the soup recorded over a 10-minute period. Time in Minutes (x) 0 Temperature in F (y) 180.2 2 165.8 4 6 146.3 135.4 8 10 127.7 110.5 Write an exponential regression equation for the data, rounding all values to the nearest thousandth. 84. Which conclusion about the scatter plot is valid? A. between 1 and 0 B. between 0 and 1 C. equal to 1 D. equal to 0 A. There is almost no relationship between eating peanuts and bowling score. B. Students who eat more peanuts have higher bowling scores. A. C. Students who eat more peanuts have lower bowling scores. the amount of gas left in a car's tank and the amount of gas used from it B. the number of gallons of gas purchased and the amount paid for the gas C. the size of a car's gas tank and the number of gallons it holds 85. D. No bowlers eat peanuts. 82. The relationship between t, a student's test scores, and d, the student's success in college, is modeled by the equation d = 0:48t + 75:2. Based on this linear regression model, the correlation coe cient could be The scatter plot below shows the pro t, by month, for a new company for the rst year of operation. Kate drew a line of best t, as shown in the diagram. Which situation describes a negative correlation? D. the number of miles driven and the amount of gas used 86. The table below shows the concentration of ozone in Earth's atmosphere at di erent altitudes. Write the exponential regression equation that models these data, rounding all values to the nearest thousandth. Concentration of Ozone Altitude (x) Ozone Units (y) 5 0.6 0 Using this line, what is the best estimate for pro t in the 18th month? A. $35,000 B. C. $42,500 D. $45,000 10 15 20 $37,750 page 13 0.7 1.1 3.0 4.9 Statistics Review Problem-Attic format version 4.4.220 c 2011–2014 EducAide Software _ Licensed for use by David Powder Terms of Use at www.problem-attic.com Statistics Review 05/05/2015 1. Answer: D 21. Answer: C 2. Answer: A 22. Answer: D 3. Answer: B 23. Answer: C 4. Answer: B 24. Answer: C 5. Answer: B 25. Answer: 3 3x 26. Answer: A 7. Answer: 4 27. Answer: B 8. Answer: 4x 28. Answer: B 9. Answer: B 29. Answer: 34 10. Answer: A 30. Answer: A 11. Answer: B 31. Answer: 95 12. Answer: C 32. Answer: D 13. Answer: 7, and appropriate work is shown. 33. Answer: A 14. Answer: 14 15. Answer: 16 16. Answer: 35. Answer: C 48 17. Answer: 36. Answer: A 140 18. Answer: 37. Answer: B 5 19. Answer: 38. Answer: A C 39. Answer: D 20. Answer: 20 40. Answer: D 6. Answer: 34. Answer: Median= 91.5, mode= 92, and seventh test score= 96. Teacher's Key 41. Answer: C 42. Answer: C 43. Answer: A 44. Answer: A 45. Answer: B 46. Answer: B 47. Answer: A 48. Answer: B 49. Answer: 64. Answer: minimum=66, rst quartile=72.5, median=85, third quartile=90, maximum=95. 65. Answer: A 66. Answer: B 67. Answer: C 68. Answer: A 69. Answer: A 70. Answer: D 71. Answer: A B 50. Answer: 72. Answer: D D 51. Answer: 73. Answer: y = 0:58x + 1185:09 and 19.9 A 52. Answer: 74. Answer: B B 53. Answer: 75. Answer: D A 54. Answer: 76. Answer: D 5 55. Answer: 77. Answer: B C 56. Answer: 78. Answer: B B 57. Answer: 79. Answer: C D 58. Answer: 80. Answer: B C 59. Answer: 81. Answer: A B 82. Answer: C 60. Answer: B 83. Answer: y = 180:377(0:954)x 61. Answer: C 84. Answer: B 62. Answer: D 85. Answer: A C 86. Answer: y = 0:488(1:116)x 63. Answer: Page 2