1. A researcher surveyed 50 families and summarized her findings in the table. Of the families surveyed, what is the mean number of vehicles per family?
2. Which of the following sets of data has the smallest standard deviation?
3. What is the median of the data set <u>14, 18, 12, 10, 16</u>?
4. What is the median of the data set <u>9, 5, 12, 8, 7</u>?
5. What is the mode of the data set <u>7, 9, 7, 5, 9, 9</u>?
6. What is the mean of the data set <u>3, 7, 5, 10, 8</u>?
7. What is the range of the data set <u>14, 27, 19, 33, 22</u>?
8. What is the median of <u>15, 9, 7, 5, 13</u>?
9. What is the mode of the data set <u>3, 8, 3, 5, 9, 3, 2</u>?
10. What is the range of the data set <u>11, 14, 18, 21, 25</u>?
11. What is the median of the data set <u>34, 23, 28, 29, 22</u>?
12. Which best describes the shape of the distribution of the data <u>1, 2, 2, 3, 4, 4, 4, 5, 6</u>?
13. What is the mode of the data set <u>7, 8, 10, 9, 10, 7, 7</u>?
14. What is the mean of the data set <u>8, 16, 24, 32, 40</u>?
15. What is the mode of the data set <u>11, 13, 15, 13, 17, 13</u>?
16. A set of 8 test scores is $\{50, 60, 60, 70, 70, 70, 80, 90\}$. What is the median of the data set?
17. The numbers of minutes a student studied for 9 days are: 25, 30, 30, 35, 40, 40, 40, 45, 50. What is the mode of the data set?
18. Two data sets show the number of goals scored in 5 games. Team A: 1, 2, 2, 3, 7. Team B: 1, 2, 2, 3, 4. Which statement is true?
19. The times (in minutes) it took a runner to complete a short route over 6 days were: 9, 12, 10, 11, 15, 13. What is the median of $\{9,12,10,11,15,13\}$?
20. A set of 7 integers is $\{4, 6, 6, 7, 8, 9, 10\}$. If the value 20 is added to the data set, how does the mean change?
21. What is the median of the data set <u>8, 11, 14, 17, 20, 23, 26</u>?
22. The data set is $\{2, 4, 6, 8\}$. If the value 10 is added to the data set, what is the new median?
23. Which best describes the shape of the distribution of the data set <u>3, 5, 7, 9, 10, 15, 20</u>?
24. The number of text messages a person received each day for 5 days was: 14, 22, 18, 9, 25. What is the range of the data?
25. A store tracks the number of customers each hour for 8 hours: 5, 7, 5, 6, 8, 5, 7, 6. What is the mode of the data set?
26. What is the range of the data set <u>18, 25, 11, 32, 29</u>?
27. What is the mean of the data set <u>2, 4, 6, 8, 10</u>?
28. A student recorded the number of pages read each day for 7 days: 12, 15, 10, 13, 20, 10, 14. What is the mean of the data set $\{12,15,10,13,20,10,14\}$?
29. Which best describes the shape of the distribution of the data <u>3, 5, 5, 7, 9, 11, 13</u>?
30. What is the median of the data set <u>12, 5, 8, 7, 14</u>?
31. What is the mean of the data set <u>4, 8, 10, 12, 6</u>?
32. What is the range of the data set <u>95, 85, 90, 100, 110</u>?
33. Which best describes the shape of the distribution of the data <u>5, 10, 10, 15, 15, 20, 25</u>?
34. A student has taken 4 tests and has an average score of 82. What score must the student get on the 5th test to raise the average to exactly 84?
35. A set of 9 integers is $\{3, 3, 4, 5, 5, 5, 6, 6, 9\}$. What is the median of the data set?
36. What is the mean of the data set <u>7, 14, 21, 28, 35</u>?
37. Which best describes the shape of the distribution of the data set <u>12, 13, 14, 15, 16, 25, 26</u>?
38. The number of text messages a student sent each day for 10 days is 2, 3, 3, 4, 4, 4, 5, 6, 6, 7. What is the median of this data set?
39. The table shows the test scores for two classes, Class A and Class B. Both classes have the same mean score. Which of the following statements about the standard deviations of the two classes is true?
40. The daily high temperatures (in $^\circ$F) over 6 days are 68, 72, 71, 70, 74, 69. What is the range of the data?
41. The numbers of goals scored by a team in 8 games are 2, 0, 3, 1, 2, 4, 1, 2. What is the median of $\{2,0,3,1,2,4,1,2\}$?
42. The following list shows the number of books read by 9 students over the summer: 2, 3, 3, 5, 7, 8, 8, 8, 10. If one student who read 10 books is removed from the data set, how will the median change?
43. A student has taken 4 tests in a science class. The scores are 78, 85, 92, and 81. The student has one more test to take. If the student wants to achieve an average (arithmetic mean) score of exactly 85 for all 5 tests, what score must be obtained on the 5th test?
44. A data set consists of 5 distinct positive integers. If the median of the data set is 8 and the arithmetic mean is 10, what is the greatest possible value of the largest integer in the data set?
45. The mean age of 5 people in a room is 30 years. When a 6th person enters the room, the mean age becomes 32 years. How old is the 6th person?
46. A student has taken 3 tests and received scores of 85, 92, and 78. What score must the student earn on the 4th test to have an overall mean score of exactly 85 for the 4 tests?
47. A neighborhood survey asked 50 people how many pets they currently own. The results are shown in the table below (0 pets \= 10 people; 1 pets \= 20 people; 2 pets \= 15 people; 3 pets \= 5 people). What is the median number of pets owned by the 50 people surveyed?
48. The arithmetic mean of 5 distinct positive integers is 12. If the largest integer is removed from the set, the mean of the remaining 4 integers drops to 10. What is the value of the integer that was removed?
49. What is the range of the data set <u>50, 45, 55, 40, 60</u>?
50. What is the median of the data set <u>19, 24, 22, 26, 20</u>?
51. What is the mode of the data set <u>4, 4, 6, 9, 10, 4</u>?
52. What is the range of the data set <u>30, 25, 20, 15, 10</u>?
53. A set of 10 integers is $\{1, 2, 2, 2, 3, 4, 5, 5, 7, 9\}$. What is the median of the data set?
54. A store recorded the number of customers entering in 6 different hours: 9, 12, 12, 15, 16, 9. What is the mode of the data set $\{9,12,12,15,16,9\}$?
55. The data set is $\{6, 7, 7, 8, 9\}$. If a value of 1 is added to the data set, what happens to the mean?
56. A set of quiz scores is $\{70, 72, 74, 76, 78\}$. Which best describes the shape of the distribution?
57. A set of values is $\{4, 4, 5, 6, 6, 7, 20\}$. Which best describes the shape of the distribution?
58. A set of 6 test scores is $\{50, 60, 70, 80, 90, 100\}$. What is the mean of the data set?
59. A coach tracked the number of push-ups completed by 8 athletes: 18, 22, 20, 24, 19, 21, 23, 20. What is the median of $\{18,22,20,24,19,21,23,20\}$?
60. The data set of 7 integers is $\{4, 6, 7, 7, 8, 9, 10\}$. If a value of 13 is added to the data set, how does the mean change?
61. The data set $\{1, 8, 8, 9, 9, 10, 10, 10\}$ has most values near 10 and one small value 1. Which best describes the shape of the distribution?
62. A student wrote down the ages (in years) of 9 people at a family gathering: 4, 7, 7, 12, 12, 12, 15, 18, 18. What is the mode of the data set?
63. The number of texts received each day for a week is: 3, 3, 4, 4, 4, 5, 20. Which best describes the shape of this distribution?
64. A cafeteria recorded the number of minutes 8 students waited in line: 2, 3, 3, 4, 4, 5, 6, 15. Which best describes the shape of the distribution of wait times?
65. A set of test scores is: 50, 60, 70, 80, 90. If a score of 0 is added to the data set, how does the median change?
66. A gardener measured the heights (in inches) of 7 plants: 9, 10, 10, 11, 11, 11, 12. What is the mean of the data set?
67. A student has the quiz scores 6, 7, 8, 9, 10. If a score of 0 is added to the data set, how does the median change?
68. A runner’s mile times (in minutes) over 6 days are: 8, 9, 7, 10, 9, 8. What is the mode of the data set $\{8,9,7,10,9,8\}$?
69. A student recorded the number of minutes it took to complete a puzzle for 7 friends: 6, 7, 7, 8, 9, 9, 20. Which best describes the shape of the distribution of times?
70. A set of 8 integers is: 1, 2, 2, 3, 4, 4, 5, 100. Which best describes the shape of the distribution?
71. A small club recorded the number of members who attended 8 weekly meetings: 20, 21, 22, 22, 23, 23, 23, 24. If one additional meeting had 32 attendees added to the data set, how would the mean change?
72. A student listed the number of text messages received on 8 days: 10, 12, 12, 13, 14, 18, 20, 25. What is the median of the data set?
73. A set of quiz scores is: 6, 7, 7, 8, 8, 8, 9, 9. If a new score of 20 is added to the data set, how does the mean change?
74. A teacher recorded the number of books read by 8 students over the summer: 2, 5, 3, 4, 6, 3, 2, 7. What is the mean of the data set $<u>2,5,3,4,6,3,2,7</u>$?
75. A runner tracked the number of miles run on 7 different days: 3, 8, 5, 6, 5, 2, 9. What is the median of $<u>3,8,5,6,5,2,9</u>$?
76. The times (in minutes) it took a runner to complete a short course over 8 trials were: 9, 12, 11, 10, 13, 10, 14, 8. What is the median of $\{9, 12, 11, 10, 13, 10, 14, 8\}$?
77. A data set of 9 values is $\{2, 3, 3, 4, 4, 4, 5, 6, 20\}$. Which best describes the shape of the distribution?
78. The times (in minutes) it took a runner to complete a short course over 8 trials were: 9, 12, 11, 10, 13, 10, 14, 8. What is the median of $\{9, 12, 11, 10, 13, 10, 14, 8\}$?
79. A data set of 9 values is $\{2, 3, 3, 4, 4, 4, 5, 6, 20\}$. Which best describes the shape of the distribution?
80. A data set of 8 values is $\{1, 2, 4, 5, 5, 6, 7, 8\}$. If the value 9 is added to the data set, how does the mean change?
81. A small store tracked the number of customers per hour over 6 hours: 7, 9, 9, 10, 12, 12. What is the mode of the data set $\{7, 9, 9, 10, 12, 12\}$?
82. A data set of 9 values is $\{1, 2, 2, 3, 4, 4, 5, 5, 6\}$. Which best describes the shape of the distribution?
83. A teacher recorded quiz scores for 9 students: 6, 8, 7, 10, 9, 6, 5, 8, 7. What is the range of the data?
84. The data set $\{2, 3, 3, 4, 4, 4, 5, 20\}$ has one unusually large value. Which best describes the shape of the distribution?
85. A gardener measured plant heights (in cm): 18, 22, 19, 25, 22, 24, 22. What is the mode of the data set?
86. Consider two data sets: Set A: {10, 10, 10, 10, 10} and Set B: {5, 7, 10, 13, 15}. Which of the following statements about the standard deviation of these sets is true?
87. A small store tracked the number of customers per hour over 6 hours: 7, 9, 9, 10, 12, 12. What is the mode of the data set $\{7, 9, 9, 10, 12, 12\}$?
88. A teacher recorded quiz scores for 9 students: 6, 8, 7, 10, 9, 6, 5, 8, 7. What is the range of the data?
89. Which best describes the shape of the distribution of the data set <u>5, 9, 11, 14, 18, 29</u>?
90. A data set of 8 values is $\{1, 2, 4, 5, 5, 6, 7, 8\}$. If the value 9 is added to the data set, how does the mean change?
91. What is the mode of the data set <u>18, 22, 22, 19, 21, 22</u>?
92. What is the mean of the data set <u>11, 14, 17, 20, 23</u>?
93. Which best describes the shape of the distribution of the data <u>10, 20, 20, 30, 40, 40, 40, 50, 60</u>?
94. What is the median of the data set <u>30, 25, 20, 15, 10, 5</u>?
95. What is the mode of the data set <u>3, 6, 9, 6, 15, 6, 10</u>?
96. What is the range of the data set <u>48, 55, 60, 62, 50</u>?
97. A data set of 9 values is $\{1, 2, 2, 3, 4, 4, 5, 5, 6\}$. Which best describes the shape of the distribution?
98. What is the mean of the data set <u>6, 12, 18, 24, 30, 36</u>?
99. A set of 8 values is $\{9, 9, 10, 10, 10, 11, 11, 30\}$. Which best describes the shape of the distribution?
100. A set of values is $\{2, 2, 3, 4, 4, 4, 5, 5, 6\}$. Which best describes the shape of the distribution?
101. A data set is $\{11, 14, 15, 15, 16, 18\}$. What is the range of the data?
102. The data set is $\{5, 7, 8, 10, 12\}$. If the value 100 is added to the data set, what happens to the median?
103. A weighted grading system assigns a value of 4.0 to an A, 3.0 to a B, 2.0 to a C, and 1.0 to a D. If a student takes a 4-credit class and earns a B, and a 2-credit class and earns an A, what is the student's weighted Grade Point Average (GPA)?
104. Which best describes the shape of the distribution of the data set <u>23, 25, 28, 30, 35, 40, 50</u>?
105. In a small club, the ages (in years) of 7 members are: 12, 14, 14, 15, 16, 18, 20. What is the median of $\{12,14,14,15,16,18,20\}$?
106. What is the mode of the data set <u>5, 7, 5, 8, 10, 5</u>?
107. What is the mean of the data set <u>10, 15, 20, 25, 30, 35</u>?
108. What is the range of the data set <u>22, 5, 13, 8, 30</u>?
109. What is the range of the data set <u>15, 22, 8, 17, 10</u>?
110. A student has taken 4 tests and has an average score of 82. What score must the student get on the 5th test to raise the average to exactly 84?
111. The mean age of 5 people in a room is 30 years. When a 6th person enters the room, the mean age becomes 32 years. How old is the 6th person?