Discrete Math
Exam Review 1
Name: _______________________
1. What is the mean for this set of data?
A. 41
B. 43
C. 46
2. What is the median for this set of data?
A. 41
B. 45
B. 43
37, 14, 22, 45, 57, 58, 61
D. 58
34, 36, 56, 58, 58, 58, 61, 62, 62
C. 46
4. What is the range for this set of data?
A. 41
D. 58
C. 46
3. What is the mode for this set of data?
A. 41
37, 12, 22, 43, 57, 58, 58
B. 43
D. 58
21, 42, 48, 59, 63, 67
C. 46
D. 58
5. What are the mean, median, mode and range for this set of data?
5.1, 3.7, 3.1, 4.3, 7, 2, 4.3, 2.5
A.
Range 5
Median 4
Mode 4.3
Range 4
B.
Mean 4
Median 4.3
Mode 3.4
Range 5.1
C.
Mean 5
Median 10.3
Mode 16
B.
Median 9
Mode 9
Mode 4.3
D.
Mean 4.3
6. What are the median and mode for this set of data?
A.
Median 4.3
Range 4
C.
B.
C.
D.
Mode 4.3
Mean 4
3, 5, 8, 9, 10, 14, 15, 19
Median 9.5
Mode No Mode
D.
7. Which box-and-whisker plot best represents the information from the data?
9, 12, 15, 19, 20, 20, 23, 26, 30, 34
A.
Median 4.3
Median 19
Mode 10
8. What is the inter-quartile range on this box-and-whisker plot?
A. 11
B. 12
C. 13
D. 14
9. What are the lower quartile, upper quartile, and median for this box-and-whisker plot?
A. LQ = 22; UQ = 10; Median = 18.5
C. LQ = 10; UQ = 22; Median = 18.5
B. LQ = 10; UQ = 22; Median = 18
D. LQ = 10; UQ = 22; Median = 19
10. Which data set matches the box-and-whisker plot?
A.
B.
C.
D.
12, 13, 15, 19, 23, 23, 25, 26.5, 28, 30
15, 13, 19, 21, 23, 24, 27, 29, 32
11, 31, 13, 15, 19, 21, 21, 25, 27, 29, 31
11, 13, 15, 19, 23, 23, 24, 26.5, 28, 33
11. What is the mean for this set of data?
A. 45
B. 46
C. 48
12. What is the median for this set of data?
A. 45
B. 46
C. 48
14, 62, 35, 38, 58, 46, 62
D. 62
14, 62, 35, 38, 58, 46, 62
D. 62
13. What is the mode for this set of data?
A. 45
B. 46
C. 48
14. What is the range for this set of data?
A. 45
B. 46
C. 48
14, 62, 35, 38, 58, 46, 62
D. 62
14, 62, 35, 38, 58, 46, 62
D. 62
15. What are the mean, median, mode, and range for this set of data?
4.1, 2.7, 2.1, 3.3, 1, 6, 3.3, 1.5
A.
Range 5
Median 3
Range 3
B.
Mode 3.3
Mean 3
Median .33
Mode 5
Range 6
C.
Mean 3
Median 3.3
Mode 3.3
Range 5
Mean 5
B.
Range 17
Mean 5
D.
Mean 3.3
16. What are the range and mean for this set of data?
A.
Range 3.3
C.
Median 3.3
Mode 3.3
Mean 5
2, 2, 3, 4, 5, 5, 6, 8, 10, 15
Range 13
Mean 6
D.
Range 2
Mean 2
17. Which box-and-whisker plot best represents the information from the data?
10, 12, 15, 19, 22, 22, 23, 26, 30, 32
A.
B.
C.
D.
18. What is the inter-quartile range on this box-and-whisker plot?
A. 11
B. 12
C. 13
D. 14
19. What are the lower quartile, upper quartile, and median for this box-and-whisker plot?
A. LQ = 7; UQ = 14; Median = 18
C. LQ = 14; UQ = 28; Median = 21
B. LQ = 18; UQ = 14; Median = 21
D. LQ = 14; UQ = 28; Median = 22
20. Which data set matches the box-and-whisker plot?
A.
B.
C.
D.
12.5, 15, 17, 23, 23, 24, 26, 29, 31, 32, 33
11, 13, 16, 19, 23, 23, 24, 29, 31, 33, 34
11, 12, 15, 18, 24, 24, 25, 27, 30, 32, 34
10.5, 12, 15, 17, 23, 23, 24, 26, 29, 34
21. What is true about the data set?
A. The mean is 16
C. The median is 12
12, 14, 16, 18, 21, 12, 10
B. The mode is 12
D. The data has no mode
22. For the data set, which of the following are true?
A. The mode is larger than the mean
C. The median is 21
21, 24, 26, 18, 26, 2, 24
B. The mean is 12
D. The data has no median
23. In George’s Geometry class, tests are worth 50%, homework is worth 25%, and quizzes are
worth 25%. Each grade is based on a 100 scale.
What is George’s total score for the class?
George’s Scores:
Test 1: 50
Test 2: 70
Homework 1: 100
Homework 2: 100
Quiz: 75
A. 70.50
C. 73.75
B. 71.25
D. 75.50
24. What is the standard deviation of the following data?
52, 61, 31, 44, 47, 45, 25, 48, 47
A. 10.09
B. 11.62
C. 9.86
D. 8.24
25. What is the interquartile range of the following data?
52, 61, 31, 44, 47, 45, 25, 48, 47
A. 8.25
B. 12.5
C. 15.5
D. 18.6
1. A teacher took a survey and found that 18 of 25 students liked a certain snack item best.
Make a prediction of how many students liked the snack item best if there are 175 students.
A. 135 students
B. 119 students
C. 126 students
D. 116 students
2. A candidate took a phone poll of 110 people. Of the 110 people polled, 87 said they would
vote for the other person. There are 9570 people in the district. About how many people are
going to vote for the other candidate?
A. 7400 people
B. 7569 people
C. 7069 people
D. 7900 people
3. A survey has a margin of error of  3% . What is the range of number of people who will
vote for a candidate if 87 of the 110 people said they would vote for the candidate and there are
9570 people in the district?
A. 7342 to 7796
B. 7343 to 7769
C. 7345 to 7796
D. 7242 to 7696
4. A university took a phone sample from 3421 students about tuition and found that 2004 of
those students believed that tuition was too high. What is a good prediction of how many
students think tuition is too high if there are about 20,000 students at the university?
A. 11,616 students
B. 11,516 students
C. 11,716 students
D. 11,816 students
5. A phone survey about university tuition has a margin of error of  2% . What is the range of
number of people who think tuition is too high at the university if 2004 of the 3421 students said
it was and there are about 20,000 students at the university?
A. 11,282 to 11,950 students
C. 11,782 to 11,950 students
B. 11,482 to 11,550 students
D. 11,482 to 11,950 students
6. A phone company took a survey of its customers and found that 93 of 100 people said that
they were pleased with their service. The phone company has 80,000 customers. What is a good
prediction of the number of customers that are satisfied?
A. 74,800 customers
C. 7400 customers
B. 74,400 customers
D. 8500 customers
7. A survey about phone service has a margin of error of  5% . Out of 100 people surveyed, 93
said that they were pleased with their service. The phone company has 80,000 customers. What
is the range of the number of people that are satisfied?
A. 70,680 to 78,120 customers
C. 70,680 to 78,210 customers
B. 70,580 to 78,120 customers
D. 70,080 to 78,120 customers
8. The cafeteria manager took a survey of the third grade students found that 83 of 127 students
said they did not want hot dogs on Wednesdays. There are 900 students at the school. What is a
good prediction of the number of students who do not want hot dogs on Wednesday?
A. 288 students
B. 388 students
C. 488 students
D. 588 students
9. There is a margin of error on a food survey of  5% . What is the range of the number of
students who do not want hot dogs if 83 of 127 students said they did not want hot dogs on
Wednesdays and there are 900 students at the school?
A. 529 to 617 students
C. 559 to 617 students
B. 559 to 647 students
D. 559 to 600 students
10. The restaurant is trying out a new menu. They asked 25 people if they liked the changes and
19 said they did. The restaurant had 227 customers that day. About how many liked the new
menu?
A. 137 customers
B. 173 customers
C. 150 customers
D. 153 customers
11. The reporter asked 12 people in the company why they liked working for their boss and
found that 8 of the people said it was because he was an understanding person. There are a total
of 96 employees. What is a good prediction of how many people like their boss because he is an
understanding person?
A. 75 people
B. 55 people
C. 64 people
D. 97 people
12. A candidate took a phone poll of 114 people and found that 87 said they would vote for the
other person. There are 9918 people in the district. About how many people are going to vote
for the other candidate?
A. 7669 people
B. 7569 people
C. 75,869 people
D. 7596 people
13. A phone survey has a margin of error of  4% . What is the range of number of people who
will vote for the other candidate if 87 of 114 people said they would vote for the other person
and there are 9918 people in the district?
A. 7266 to 7872
B. 7266 to 7827
C. 7222 to 7872
D. 7296 to 7872
14. The university took a phone survey of 3421 students about tuition. Of the students surveyed
2004 of those students believed that tuition was too high. What is a good prediction of how
many students think tuition is too high if there are over 25,000 students at the university?
A. 13,645 students
B. 12,645 students
C. 14,645 students
D. 17,645 students
15. In the survey, there is a margin error of  2% . What is the range of number of people who
think tuition is too high at the university if 2004 of the 3421 students said it was and there are
over 25,000 students at the university?
A. 14,252 to 14,938 students
C. 14,652 to 14,938 students
B. 14,352 to 14,438 students
D. 14,352 to 14,938 students
16. The electric company took a survey of its customers and found that 91 of 100 people said
that they were pleased with their service. The phone company has 8000 customers. What is a
good prediction of the number of customers that are satisfied?
A. 7580 customers
B. 7280 customers
C. 7080 customers
D. 7208 customers
17. A survey has a margin error of  5% . In the survey 91 out of 100 people said that they were
pleased with their phone service. The phone company has 8000 customers. What is the range of
the number of people that are satisfied?
A. 6916 to 7644 people
C. 6900 to 7685 people
B. 6619 to 7644 people
D. 6926 to 7644 people
18. The principal took a survey of the sixth grade students and found that 111 of 210 said they
wished they could wear shorts to school. There are 903 students at the school. What is a good
prediction of the number of students who wish they could wear shorts?
A. 277 students
B. 377 students
C. 747 students
D. 477 students
19. There is a margin error in a survey of  4% . What is the range of the number of students
who wish they could wear shorts if 111 of 210 students wished they could wear shorts to school
and there are 903 students at the school?
A. 458 to 469 students
C. 458 to 496 students
B. 485 to 496 students
D. 600 to 700 students
20. The restaurant is trying out a new menu. They asked 35 people if they liked the changes and
29 said they did. The restaurant had 297 customers that day. About how many liked the new
menu?
A. 446 customers
B. 246 customers
C. 300 customers
D. 346 customers