Using Graphs to Analyze Data Unit Test
Connections Academy 8th Grade
Please only use this to check your answers.
1. What are the mean, median, mode, and range of the data set given the altitude of lakes in feet:
-11, -28, -17, -25, -28, -39, -6, and -46?
A. mean= -25; meadian= -26.5; mode= -28; range= 40 ***
B. mean= -25; meadian= -40; mode= -26.5; range= 28
C. mean= -26.5; meadian= -25; mode= -28; range= 28
D. mean= -26.5; meadian= -28; mode= -25; range= 40
2. Given the data 21, 13, 13, 37, 13, 23, 25, 15:
a. What is the outlier in the data?
b. What is the mean with the outlier?
c. What is the mean without the outlier?
A. 13; 21; 17.6
B. 37; 20; 17.6 ***
C. 37; 17.6; 20
D. 13; 17.6; 21
3. Which frequency table represents the set of data below related to how each student in a class traveled to school in the morning?
family car |bus |car pool |biked
biked |walked |family car |biked
bus |biked |walked |bus
biked |family car |car pool |biked
bus |bus |walked |walked
walked |walked |walked |car pool
A. Transportation | Frequency
walked | 7
biked | 5
bus | 5
family car | 4
car pool | 3
B. Transportation | Frequency
walked | 7
biked | 4
bus | 5
family car | 5
car pool | 3
C. Transportation | Frequency ***
walked | 7
biked | 6
bus | 5
family car | 3
car pool | 3
D. Transportation | Frequency
walked | 7
biked | 4
bus | 6
family car | 4
car pool | 3
4. The data below represent the ages of the first ten people in line at the movie theater.
22, 30, 23, 22, 27, 29, 23, 30, 22
Which line plot represents the data?
A. x
x x x x
x x x x
22 ' 24 ' 26 ' 28 ' 30
B. x x
x x x x x
x x x x x x
22 ' 24 ' 26 ' 28 ' 30
C. x ***
x x x x
x x x x x
22 ' 24 ' 26 ' 28 ' 30
D. x x
x x x x x
x x x x x x
22 ' 24 ' 26 ' 28 ' 30
5. Which stem-and-leaf plot represents the data set below?
64, 67, 81, 89, 108, 114, 74, 52, 93, 76, 87
A. 5|2
6|4 7
7|4 6
8|1 7 9
9|3
1|08 14
Key: 8|9 means 89
B. 5|2
6|4 7
7|4 6
8|1 7 9
9|3
1|0 8
1|1 4
Key: 8|9 means 89
C. 5|2 ***
6|4 7
7|4 6
8|1 7 9
9|3
10|8
11|4
Key: 8|9 means 89
D. 5|2
6|4 6
7|4 7
8|1 7
9|3 9
10|8
11|4
Key: 8|9 means 89
6. A back-to-back stem-and-leaf plot showing the points by each player on two different basketball teams is shown below.
Points Scored in a Game
Team 1 | | Team 2
6 1 |0| 3 7
8 4 2 |1| 4 6 8 9
9 6 3 |2| 5 7
Key: 4|0|2 means 4 points for Team 1
2 points for Team 2
What is the median number of points scored for each team?
A. Median for Team 1: 14
Median for Team 2: 16
B. Median for Team 1: 16 ***
Median for Team 2: 17
C. Median for Team 1: 16
Median for Team 2: 16
D. Median for Team 1: 18
Median for Team 2: 18
7. Which box-and-whisker plot shows the scores of ten students on a mathematics exam?
87, 78, 81, 89, 95, 78, 73, 73, 92, 93
A.
B.
C. ***
D.
8. Which box-and-whisker plot shows the high temperatures in Pittsburgh, Pennsylvania during the first two weeks of march?
33, 45, 42, 47, 35, 45, 41, 34, 44, 34, 48, 40, 43, 45
A. ***
B.
C.
D.
9. Ms. Alison drew a box-and-whisker plot to represent her students' scores on a midterm test.
Jason received 81 on the test. How does Jason's score compare to his classmates?
A. About 25% scored higher; about 75% scored lower. ***
B. About 50% scored higher; about 50% scored lower.
C. About 75% scored higher; about 25% scored lower.
D. No one scored higher.
10. Which scatter plot represents the given data?
x| 1| 1| 2| 2| 2.5| 2.5| 4| 4| 6|
y| 3.9| 6.3| 3.4| 5.1| 1.4| 8.5| 8.7| 1.3| 7.9|
A.
B. ***
C.
D.
11. What type of trend does the scatter plot below show? What type of real-world situation might the scatter plot represent?
A. positive trend; weight and height
B. negative trend; weight and height
C. no trend; the number of pets owned and the owner's height ***
D. negative trend; the water level in a tank in the hot sun over time
12. Given the following values, which point would be considered an outlier?
x| 1| 2| 3| 4| 5| 6| 7| 8| 9|
y| 0.9| 2.1| 3.2| 3.9| 7.4| 5.8| 7.2| 8| 9.1|
A. (2, 2.1)
B. (9, 9.1)
C. (8, 8)
D. (5, 7.4) ***
13. A recording artist released a compilation of songs on the Internet. The scatter plot below shows the number of downloads for her album, in the thousands, over the course of nine days.
If this trend continues, approximately how many thousands of downloads occurred on day 10?
A. 30
B. 40
C. 50 ***
D. 60
14. Carol has a collection of 100 stamps. The graphs below shows the percentage of stamps she has from each country.
How many more of Carol's stamps are from Norway than from France?
A. 5 stamps ***
B. 24 stamps
C. 29 stamps
D. 53 stamps
15. A survey about the student government program at a school finds the following results:
110 students like the program.
120 students think the program is unnecessary.
210 students plan on running for student government next year.
If a circle graph were made from the data, what is the measure of the central angle for the group that plans on running for student government next year?
A. 39°
B. 90°
C. 98°
D. 172° ***
16. Based on the two-way frequency table, how many people chose chocolate chip cookies?
Type of Cookie |Adults |Children |Total
Chocolate Chip | 5 | 10 |
Peanut Butter | 8 | 6 |
Oatmeal | 7 | 4 |
A. 20
B. 15 ***
C. 14
D. 11
17. What percentage of the children chose peanut butter?
A. 70%
B. 25%
C. 30% ***
D. 45%
Essay
Note: Your teacher will grade your responses to questions 18-20 to ensure you receive proper credit for your answer.
18. The chart below shows the average number of movies seen per person in selected countries.
Country Average Number of Movies a Person Sees Per Year
Turkey 0.5
Japan 1.2
United Kingdom 1.3
Finland 1.3
Austria 1.5
Germany 1.8
Spain 2.2
Sweden 2.2
Denmark 2.2
Switzerland 2.5
France 2.5
Norway 3.0
Canada 3.0
United States 4.5
Use equal intervals to make a frequency table for the average number of movies per person. You do not need to show tally marks.
*Your own answer*
19. Mr. Green teaches band, choir, and math. This year, he has 57 students that take at least one of his classes. He teaches band to 25 students. There are 9 students who have Mr. Green for math and nothing else. Use the Venn diagram below:
How many students take exactly 2 classes with Mr. Green?
17 students take exactly 2 classes with Mr. Green.
20. Make a stem-and-leaf plot that shows the following data:
Country Percentage of Households with Color Television
Austria 97
Belgium 93
Canada 69
Denmark 95
France 88
Germany 94
Greece 64
Ireland 92
Italy 88
Japan 100
Switzerland 91
United States 97
Use the | key (shift+\; just next to the backspace) to make the vertical lines.
6 | 4 9
8 | 8 8
9 | 1 2 3 4 5 7 7
10 | 0
I might not be right on the essay questions so I suggest you put your own answer on your test.
Great job, your answers are correct! As for the essay questions, I'm sure your teacher will grade them accordingly. Keep up the good work!
1. A. mean= -25; median= -26.5; mode= -28; range= 40
2. B. outlier: 37; mean with outlier: 20; mean without outlier: 17.6
3. C. Transportation | Frequency: walked-7, biked-6, bus-5, family car-3, car pool-3
4. C. x x x x x '24 '26 '28 '30
5. C. 5|2 6|4 7|4 6 8|1 7 9|3 10|8 11|4
6. B. Median for Team 1: 16; Median for Team 2: 17
7. C. The box-and-whisker plot is not provided.
8. A. The box-and-whisker plot is not provided.
9. A. About 25% scored higher; about 75% scored lower.
10. B. The scatter plot is not provided.
11. C. no trend; the number of pets owned and the owner's height
12. D. (5, 7.4)
13. C. 50 thousand
14. A. 5 stamps
15. D. 172°
16. B. 15 people chose chocolate chip cookies.
17. C. 30% of the children chose peanut butter.