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DATA ANALYSIS, PROBABILITY AND STATISTICS
1.
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Grade 10 | Mathematics | Multiple Choice | 2005 | Question 37
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The chart below separates the number of students majoring in math/science from students pursuing other
majors at a state college.
Students’ Majors by Class
Freshmen Sophomores Juniors Seniors
Math/Science Majors
Other Majors
260
310
200
330
1390
1510
1450
1550
What percent of the math/science majors are seniors?
A. 43%
B. 30%
C. 21%
D. 5%
DATA ANALYSIS, PROBABILITY AND STATISTICS
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2. Grade 10 | Mathematics | Multiple Choice | 2005 | Question 36
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The table below shows the test scores of 7 students. The scores are in order from least to greatest.
Test Scores
Student Score
Janet
72
Mark
75
Luisa
77
Byron
81
Ray
84
Devin
86
Kamara 90
Which of the following would change the median of the scores?
A. adding 5 points to Janet's score
B. adding 5 points to Devin's score
C. subtracting 5 points from Ray's score
D. subtracting 5 points from Luisa's score
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2005 | Question 35
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.2
The scatterplot below shows the ages and heights of 20 trees on a tree farm.
If x = age in years and y = height in meters, which of the following equations best approximates the line of best
fit for this scatterplot?
A.
B.
y=
x
y=
x+5
C. y = 2x
D. y = 2x + 5
DATA ANALYSIS, PROBABILITY AND STATISTICS
4. Grade 10 | Mathematics | Multiple Choice | 2005 | Question 30
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The stem-and-leaf plot below shows the scores on a history exam.
Exam Scores
5
6
7
8
9
10
8
2
0
4
2
0
7
3 3 6
5 5
2 2 4 7
Key
6 | 2 represents 62
Which of the following measures of the data is greatest?
A. mean
B. median
C. mode
D. range
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DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2005 | Question 28
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
Marcella’s homeroom had a party at a local arcade. Each of the 26 students attending played the same game.
Marcella recorded the number of points that each student scored for that game and put the data into score
intervals. The results are shown in the chart below.
Arcade Game Scores
Score Interval
(in points)
Number of
Students
0 through 100
4
101 through 200 6
201 through 300 4
301 through 400 7
401 through 500 3
501 through 600 2
Based on the information in the chart, which interval contains the median score?
A. 101 through 200
B. 201 through 300
C. 301 through 400
D. 401 through 500
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2005 | Question 23
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
A local university is divided into three colleges. The table below shows the number of students enrolled in each
college.
University Enrollment
College
Number of Students
Arts and Sciences 8036
Business
2977
Law
1014
Which of the following circle graphs best represents the data in the table?
A.
B.
C.
D.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2005 | Question 22
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
Four major underwater tunnels were constructed in New York City between 1925 and 1950. The tunnels and
their lengths are listed in the chart below.
New York City Tunnel Lengths
Tunnel
Name
Length
Year
(kilometers) Completed
Holland
2.6
1927
Lincoln
2.5
1937
Queens-Midtown 1.9
1940
Brooklyn-Battery
1950
2.8
Which of the following is closest to the mean of these four lengths?
A. 2.20 kilometers
B. 2.35 kilometers
C. 2.45 kilometers
D. 2.55 kilometers
DATA ANALYSIS, PROBABILITY AND STATISTICS
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8. Grade 10 | Mathematics | Multiple Choice | 2005 | Question 14
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The graph below shows the number of milligrams of a medication in the bloodstream from the time it was
administered to 300 minutes after administration.
Using the information from the graph, which of the following statements is true?
A. The maximum amount of medication in the bloodstream was 12 milligrams.
B. The minimum amount of medication was in the bloodstream 300 minutes after administration.
C. The amount of medication in the bloodstream increased at a faster rate than it decreased.
D. The maximum amount of medication was in the bloodstream 100 minutes after administration.
DATA ANALYSIS, PROBABILITY AND STATISTICS
9. Grade 10 | Mathematics | Multiple Choice | 2005 | Question 2
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The graph below shows the thickness of the ice on a lake during the colder months.
Which of the following is closest to the number of days the ice was at least 3 inches thick?
A. 30
B. 45
C. 60
D. 75
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DATA ANALYSIS, PROBABILITY AND STATISTICS
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10. Grade 10 | Mathematics | Multiple Choice | 2004 | Question 39
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
Keesha and her family visit her grandparents once a month. Keesha recorded the driving time to her
grandparents' house for 6 trips in the chart below.
Driving Times
Month
Time
January
3 hours, 23 minutes
February
3 hours, 5 minutes
March
3 hours, 50 minutes
April
3 hours, 52 minutes
May
3 hours, 15 minutes
June
3 hours, 35 minutes
Based on the data in the chart, what is the mean driving time to Keesha's grandparents' house?
A. 3 hours, 23 minutes
B. 3 hours, 26 minutes
C. 3 hours, 30 minutes
D. 3 hours, 35 minutes
DATA ANALYSIS, PROBABILITY AND STATISTICS
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11. Grade 10 | Mathematics | Multiple Choice | 2004 | Question 30
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The box-and-whisker plot shown below represents the heights, in inches, of the members of the Central High
School girls’ basketball team.
What is the median height of the members of the team?
A. 67 inches
B. 68 inches
C. 69 inches
D. 70 inches
DATA ANALYSIS, PROBABILITY AND STATISTICS
12. Grade 10 | Mathematics | Multiple Choice | 2004 | Question 29
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The circle graph below shows the colors of 160 marbles.
What is the total number of green marbles?
A. 8
B. 20
C. 40
D. 45
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DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2004 | Question 12
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
Shelley is registering at a hotel that has 14 rooms available on the first floor, 10 rooms available on the second
floor, and 16 rooms available on the third floor. If Shelley is assigned one of these hotel rooms at random, what
is the probability that it will be on the second floor?
A.
B.
C.
D.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2004 | Question 13
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The chart below shows a random sample of students’ ages at a community college.
22 18 35 43 44 19
18 38 36 20 19 37
37 20 19 38 38 21
Administrators at the college constructed a histogram of the students’ ages. Which of the following histograms
best represents the distribution of students’ ages?
A.
B.
C.
D.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2004 | Question 2
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The chart below shows the heights of 13 players on a women's basketball team.
Basketball Team
Player
Height
1
5 ft. 4 in.
2
5 ft. 6 in.
3
5 ft. 7 in.
4
5 ft. 7 in.
5
5 ft. 7 in.
6
5 ft. 9 in.
7
5 ft. 9 in.
8
5 ft. 10 in.
9
5 ft. 11 in.
10
5 ft. 11 in.
11
6 ft.
12
6 ft. 1 in.
13
6 ft. 2 in.
If a player whose height is 6 feet 6 inches joined the team, which of the following statistical measures of
players' heights would not change?
A. mean
B. median
C. mode
D. range
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2003 | Question 39
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.2
Jenny studied the effect of light on plant growth. She graphed a scatterplot to represent her
data.
Which of the following best represents the equation for the line of best fit for the data shown?
A. y = −0.4x + 5
B. y = 0.4x + 5
C. y = −4x + 5
D. y = 4x + 5
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2003 | Question 37
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The mean exam score for 31 students in a geometry class was 79. The median exam score for the same set of
students was 75. Two additional students took the exam at a later time and scored 65 and 93. How did the
mean and median change when these two additional scores were included?
A. The median increased and the mean stayed the same.
B. The median stayed the same and the mean increased.
C. The median and the mean both stayed the same.
D. The median and the mean increased.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2003 | Question 32
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The stem-and-leaf plot below shows the ages of 50 teachers in the Bernard Township school system.
Based on the stem-and-leaf plot, what percent of the teachers are over 50 years of age?
A. 26%
B. 47%
C. 51%
D. 52%
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2003 | Question 30
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.2
The students at Albemarle High held a car wash each week for 10 weeks to earn money for the student
council. The students made the scatter plot below to represent the amount of the money they earned each
week
Which of the following equations best represents the line of best fit for these data?
A. y = 110
B. y = 110x
C. y = x + 55
D. y = −x + 55
DATA ANALYSIS, PROBABILITY AND STATISTICS
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20. Grade 10 | Mathematics | Multiple Choice | 2003 | Question 26
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
The probability that a customer will bring 1, 2, 3, 4, 5, or 6 items to the express lane in a grocery store is shown
in the chart below.
Items Brought to an
Express Lane
Number of
Items
Probability
1
14%
2
11%
3
8%
4
11%
5
31%
6
25%
What is the probability that a customer will bring less than 5 items to the express lane?
A. 0.11
B. 0.31
C. 0.44
D. 0.75
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2003 | Question 10
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
Joshua spun the arrow on each spinner shown below exactly once. He recorded the sum of the resulting two
numbers.
What is the probability that the sum of the resulting two numbers will be 2?
A.
B.
C.
D.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2006 | Question 3
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.2
During the beginning of a recent storm, a weather broadcaster took temperature readings every half hour and
plotted the data on the scatterplot below.
Which of the following most closely approximates the equation of the line of best fit for the data?
A. y = −40x + 40
B. y = −3x + 40
C. y = 40x + 40
D. y = 3x + 40
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2006 | Question 14
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
Cosmic Bowling Center has 100 bowling balls, and their weights range from 8 through 16 pounds. The
frequency table below shows the number of balls by weight.
Number of Bowling Balls by Weight
Weight (pounds) 8
9
10
11
12
13
14
15
16
Number of Balls
4
9
3
10
2
18
17
24
13
What is the median weight per ball for the 100 bowling balls?
A. 11 pounds
B. 12 pounds
C. 13 pounds
D. 14 pounds
DATA ANALYSIS, PROBABILITY AND STATISTICS
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24. Grade 10 | Mathematics | Multiple Choice | 2006 | Question 40
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The years of canoeing experience for each of 30 people who plan to go on a canoe trip are shown in the
table below.
Years of Canoeing Experience
Number of
Years
Number of
People
Less than 3
9
3 through 6
12
More than 6
3
but less than 9
9 or more
6
In a circle graph that correctly shows this data, what is the measure of the central angle of the sector labeled
"9 or more"?
A. 6°
B. 20°
C. 72°
D. 108°
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2006 | Question 30
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
A local car dealership has 100 vehicles on its lot. The chart below shows the numbers of cars, vans, and
trucks, both new and used.
Vehicles at Dealership
Number of Cars
Number of Vans
Number of Trucks
New
4
7
9
Used
36
21
23
Based on the chart, what percent of the 100 vehicles are either new cars or new trucks?
A. 11%
B. 13%
C. 20%
D. 59%
DATA ANALYSIS, PROBABILITY AND STATISTICS
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26. Grade 10 | Mathematics | Multiple Choice | 2006 | Question 25
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The stem-and-leaf plot below shows the prices, rounded to the nearest dollar, of 25 sweaters sold in the women'
department at a store.
Sweater Prices
(in dollars)
2
0 1 1 2 2 4 8 9
3
1 1 2 3 4 4 6 8 9
4
1 2 3 5 5
5
0 2 5
What percent of the sweater prices are less than $40?
A. 17%
B. 40%
C. 50%
D. 68%
Key
2 | 3 represents 23
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2008 | Question 38
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
Jeremy calculates his car’s gas mileage every time he buys gas for his car. The chart below shows the data
from the last 5 times he bought gas.
Gas Mileage for Jeremy’s Car
Miles
Gallons of Gas
Gas Mileage
(miles per gallon)
370
11.3
32.74
352
9.5
37.05
303
8.9
34.04
298
9.7
30.72
398
11.2
35.54
Based on the data in the chart, what is the range of gas mileage for Jeremy’s car?
A. 2.80 miles per gallon
B. 4.31 miles per gallon
C. 4.82 miles per gallon
D. 6.33 miles per gallon
DATA ANALYSIS, PROBABILITY AND STATISTICS
28. Grade 10 | Mathematics | Multiple Choice | 2008 | Question 33
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
On the spinner shown below, the sizes of the sections are as follows:
•
Sections S and U are equal in size.
•
Sections R and T are equal in size.
•
The size of section S is half the size of section T.
If Darryl spins the arrow one time, what is the probability that it will land on section S?
A.
B.
C.
D.
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DATA ANALYSIS, PROBABILITY AND STATISTICS
29. Grade 10 | Mathematics | Multiple Choice | 2008 | Question 28
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The box-and-whisker plot below shows the distribution of the daily high temperatures, in
degrees Fahrenheit, in the town of Clifton during the year 2004.
Based on the box-and-whisker plot, in which of the following intervals of temperatures is it
most likely that exactly 50% of the daily high temperatures are located?
A. 38°F to 54°F
B. 38°F to 81°F
C. 54°F to 72°F
D. 54°F to 81°F
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DATA ANALYSIS, PROBABILITY AND STATISTICS
30. Grade 10 | Mathematics | Multiple Choice | 2008 | Question 14
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The heights, in inches, of the members of a soccer team are listed below.
66, 61, 71, 62, 64, 70, 64, 63, 72, 68
After a new member joined the team, the median height of all the members was 66 inches.
Which of the following could be the height, in inches, of the new member?
A. 68
B. 65
C. 64
D. 61
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DATA ANALYSIS, PROBABILITY AND STATISTICS
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31. Grade 10 | Mathematics | Multiple Choice | 2008 | Question 9
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
Shantel made the line plot below to show the numbers of points she and the other members of her team
scored.
Exactly three players scored more points than Shantel. Based on the line plot, what is the number of points that
Shantel scored?
A. 2
B. 3
C. 4
D. 5
DATA ANALYSIS, PROBABILITY AND STATISTICS
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32. Grade 10 | Mathematics | Multiple Choice | 2008 | Question 3
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
Sharon took 24 nighttime photographs. The exposure times, in seconds, for her photographs are represented
in the stem- and-leaf plot below.
What is the median exposure time for her photographs?
A. 24 seconds
B. 25 seconds
C. 27 seconds
D. 28 seconds
DATA ANALYSIS, PROBABILITY AND STATISTICS
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33. Grade 10 | Mathematics | Multiple Choice | 2007 | Question 40
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
Leroy will arrive at Gary's house at a time between 2 p.m. and 4 p.m. this afternoon. At 2 p.m., Gary will begin
to watch a two-hour television program. There are 15 minutes of commercials scheduled to be shown during
each hour of the program.
Assuming that Leroy's arrival time at Gary's house will be random, what is the probability that Leroy will arrive
during a commercial?
A.
B.
C.
D.
DATA ANALYSIS, PROBABILITY AND STATISTICS
34.
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Grade 10 | Mathematics | Multiple Choice | 2007 | Question 35
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
Justin drew the bar graph below to represent the time he allocated for each activity during one school day last
week.
Based on the data in the graph, which of the following best represents the ratio of the time Justin allocated for
homework to the time he allocated for school?
A.
B.
C.
4
D.
10
DATA ANALYSIS, PROBABILITY AND STATISTICS
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35. Grade 10 | Mathematics | Multiple Choice | 2007 | Question 33
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The girls' soccer coach scheduled practice for 10 days during soccer season. The table below shows the
number of players who attended practice each day.
Practice Attendance
Each Day
Day
Number
of
Players
1
12
2
13
3
16
4
10
5
9
6
12
7
14
8
12
9
15
10
16
What is the range of the number of players who attended practice over the 10 days?
A.
4
B.
7
C.
9
D.
16
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2007 | Question 26
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
A total of 100 people bought all of the tickets that were available for a school raffle.
The frequency table below shows the number of people who bought each number of tickets listed. For
example, 27 people bought 2 tickets each.
For these 100 people, what was the mean number of tickets bought per person?
A. 1.24
B. 2.24
C. 2.50
D. 3.20
DATA ANALYSIS, PROBABILITY AND STATISTICS
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37. Grade 10 | Mathematics | Multiple Choice | 2007 | Question 23
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The table below shows the numbers of days Mallory and her friends went skating last month.
Numbers of Days
of Skating
Name
Number
of Days
Angela
12
Chelsea
7
Latifa
11
Mallory
12
What are the mean and median for this set of data?
A.
mean = 10.5; median = 11.5
B.
mean = 10.5; median = 9
C.
mean = 12; median = 11.5
D.
mean = 12; median = 9
DATA ANALYSIS, PROBABILITY AND STATISTICS
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38. Grade 10 | Mathematics | Multiple Choice | 2007 | Question 10
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.2
Which of the following scatterplots is most likely to have a line of best fit represented by the equation y = –5x
+2?
A.
B.
C.
D.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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39. Grade 10 | Mathematics | Multiple Choice | 2007 | Question 3
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The number of points scored by the Springdale Hawks in each of their last ten basketball games is shown in
the stem-and-leaf plot below.
What is the median number of points scored per game by the Hawks?
A. 42
B. 44
C. 45
D. 47
DATA ANALYSIS, PROBABILITY AND STATISTICS
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40. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 39
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.2
Beth drew a scatterplot and then correctly drew the line of best fit for her scatterplot. The line of best fit had a
slope of 2. Which of the following is most likely Beth’s scatterplot?
A.
B.
C.
D.
DATA ANALYSIS, PROBABILITY AND STATISTICS
41. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 33
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The circle graph below shows the distribution of the ages of 24 team members.
What is the median age, in years, of the team members?
A. 15
B. 16
C. 17
D. 18
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DATA ANALYSIS, PROBABILITY AND STATISTICS
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42. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 26
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
The diagram below shows a small, shaded square inside a larger square.
A point is located at random inside the larger square.
Based on the dimensions in the diagram, what is the probability that the point will be inside the small, shaded
square?
A. 34
B. 23
C. 12
D. 14
DATA ANALYSIS, PROBABILITY AND STATISTICS
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43. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 27
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The graph below shows Danielle’s speed, in miles per hour, during the 24 minutes she spent riding her bicycle
one day.
Which of the following is closest to the number of minutes that Danielle’s speed was greater than 14 miles per
hour?
A.
3
B.
9
C. 18
D. 21
DATA ANALYSIS, PROBABILITY AND STATISTICS
44.
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Grade 10 | Mathematics | Multiple Choice | 2009 | Question 14
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.2
Cynthia and her father planted a tree in their front yard 8 years ago. The tree was 2 meters in height when it
was planted. The scatterplot below shows how the height of the tree increased each year.
Which of the following most closely approximates the equation of the line of best fit for the data points in the
scatterplot?
A. y = –2x + 2
B. y = 2x + 2
C. y = –12x + 2
D. y = 12x + 2
DATA ANALYSIS, PROBABILITY AND STATISTICS
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45. Grade 10 | Mathematics | Multiple Choice | 2009 | Question 9
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The numbers of pages that Millie read on each of the first seven days after she got a new book are shown in
the box below.
15, 20, 15, 45, 30, 35, 15
What is the median number of pages Millie read per day for the seven days?
A. 15
B. 20
C. 25
D. 45
DATA ANALYSIS, PROBABILITY AND STATISTICS
46.
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Grade 10 | Mathematics | Multiple Choice | 2009 | Question 1
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
A class of students took a mathematics test. The table below shows their scores and the number of
students who received each score.
Number of Students Who
Received Each Score
Score
Number
of Students
23
3
26
5
27
5
28
2
30
7
33
2
34
1
What is the median of the scores for the entire class of students?
A. 26
B. 27
C. 29
D. 30
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Open Response | 2005 | Question 42
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The double bar graph below shows the number of male and female participants in three different activities at a
Field Day. Each person participated in just one activity.
a. Based on the information in the graph, what was the ratio of male to female participants overall? Show
or explain how you got your answer.
b. What percent of all of the female participants played volleyball? Show or explain how you got your
answer.
c.
Sketch and label a circle graph that shows the information given in the graph for the female
participants. Your sketch does not have to be exact but should show the sectors relatively
proportioned. Explain how you determined the size of each sector.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Open Response | 2004 | Question 31
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
In an experiment, Sue and Helise asked each of 30 students in a random sample of the juniors at their school
to record the number of minutes they watched television on a Saturday and Sunday in April. The results,
rounded to the nearest 30 minutes, are shown in the table.
Minutes of Television Watching
Total Number of Minutes
of Television Watched on
Saturday and Sunday
Number of Junior
Students
0
1
60
3
90
6
120
5
180
5
240
2
300
5
420
1
540
2
a. What number of minutes spent watching television should the girls report as the mode for this group
of students? Justify your answer.
b. Helise said that the median number of minutes for this group of students is 180, but Sue disagreed.
Do you agree with Sue or Helise? Justify your answer.
c.
Suppose that Sue and Helise had used the entire class of 185 juniors as their sample. Based on the
results from their smaller sample, what total number of the 185 juniors would probably have reported
watching 300 minutes of television on that weekend? Show or explain how you obtained your
answer.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Open Response | 2003 | Question 21
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The highest possible score on a college admissions math examination is 800. The stem-and-leaf plot shows
the scores for a group of 20 students who were granted early admission to their chosen universities.
a. What is the median score for these 20 students? Show or explain how you obtained your answer.
b. What is the range of the scores for these 20 students? Show or explain how you obtained your answer.
c.
What are the lower (first) quartile and the upper (third) quartile?
d. Make a box-and-whisker plot that displays the same data given in the stem-and-leaf plot above. Be
sure to label the minimum, the lower quartile, the median, the upper quartile, and the maximum on your
box-and-whisker plot.
e. Explain the steps you would use to find the mean
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Open Response | 2006 | Question 31
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
Julie is training for a 5-kilometer race. She plotted the distances she ran for each of her first 8 training runs on
the line plot below.
Distance
(in kilometers)
Determine each of the following for this data set. Show or explain how you got each of your answers.
a.
•
•
•
mean
median
mode
Julie still has 2 training runs remaining before the race. She wants to run a distance of 7, 8, or 9
kilometers for each of the remaining runs.
What distances, in kilometers, could Julie run for her 2 remaining training runs so that the mean of the
distances for all 10 training runs is 5 kilometers? Show or explain how you got your answers.
b.
Using your answers from part (b), determine the following for the data set that includes the distances of all
10 training runs. Show or explain how you got each of your answers.
c.
•
•
median
mode
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Open Response | 2008 | Question 42
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
Felicity's class helped scientists study monarch butterflies. The students caught butterflies, put an identifying
tag on each one, and then released them. The next year scientists caught 24 of the tagged butterflies. They
sent Felicity's class the table below, which shows the distance flown by each of the 24 butterflies.
Distances Flown by Butterflies
(in miles)
613
1366 1600 1371 1696 884
842
1886 239
1779 1604 2122
1090 1678 1885 1476 1803 1662
104
1665 1697 1669 120
857
a. What is the range of the distances, in miles, that the 24 butterflies flew? Show or explain how
you got your answer.
b. Copy the table below into your Student Answer Booklet. Complete your table by determining
the number of butterflies that flew within each distance interval.
Distance Intervals
Flown by Butterflies
Distance Interval
(in miles)
Number of
Butterflies
0–600
601–1200
1201–1800
1801–2400
c.
In your Student Answer Booklet, create a circle graph that shows the information in your table
from part (b). Be sure to do the following:
•
Draw the sectors in your circle graph so that their sizes are reasonably accurate.
•
Label each sector of your graph with the distance interval it represents and the
percent of the butterflies that flew within that distance interval.
•
Show how you determined each percent.
•
Include a title for your graph.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Open Response | 2007 | Question 31
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The table below shows the attendance at each of Eagle High School's home football games last season.
a.
What is the range of the attendance for the 8 home football games last season? Show or explain how you
got your answer.
Determine each of the following measures of the attendance for the 8 games.
b.
•
•
•
mean
median
mode
Show or explain how you got each of your answers.
If the attendance at the 6th game is not included in the data set, which measure (mean, median, or mode)
c. has the greatest increase in value when compared to your answers in part (b)? Show or explain how you
got your answer.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Open Response | 2009 | Question 17
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
Carla collects employment data. At the end of 2005, she asked a group of 24 employees at Company P
how many years each had worked at that company. She asked the same question of a group of 24
employees at Company Q. The line plots below show her results, where each X represents one employee.
a.
For the group of employees at Company P, what are the following measures for the number of
years worked by the end of 2005? Show or explain how you got each of your answers.
o
mode
o
median
b.
For the group of employees at Company Q, what are the following measures for the number of
years worked by the end of 2005? Show or explain how you got each of your answers.
o
mode
o
median
c.
Without computing the mean for either group, use the line plots to determine which group of
employees has the greater mean number of years worked by the end of 2005. Explain how you got
your answer without computing the means.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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54. Grade 10 | Mathematics | Short Answer | 2005 | Question 18
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The circle graph shown below represents the membership of a service organization. In this organization,
the members are female.
Approximately what fractional part of the total membership consists of males who are 18 or older?
of
DATA ANALYSIS, PROBABILITY AND STATISTICS
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55. Grade 10 | Mathematics | Short Answer | 2004 | Question 18
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.3
Latrice plans to ride her bicycle a mean of 80 miles per week. During the last four weeks, she has recorded
distances of 76, 80, 82, and 74 miles. How many miles must Latrice ride this week to obtain a 5-week mean of 80
miles?
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Short Answer | 2003 | Question 19
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The line plot below shows the average daily temperature in a city for each day during the month of April.
What was the median temperature?
DATA ANALYSIS, PROBABILITY AND STATISTICS
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57. Grade 10 | Mathematics | Short Answer | 2006 | Question 19
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
Ms. Ruiz drew the histogram shown below on her board to display the score distribution for last week's Spanish
quiz.
Spanish Quiz Score Distribution
What fraction of the students received a score of 70 or more?
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Short Answer | 2008 | Question 18
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
Davis is on the high school track team. The table below shows the number of laps he ran around the school’s
track each day for 7 consecutive days.
Number of Laps Each Day
Day
Mon.
Tues.
Wed.
Thu.
Fri.
Sat.
Sun.
Number of Laps
8
11
7
9
10
11
12
What is the numerical difference between the median of the number of laps and the mode of the number of
laps?
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Short Answer | 2007 | Question 19
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
Angelo placed 5 CDs into his CD player. There are 12 songs on each CD.
Angelo set his CD player to select songs in a random order. What is the probability that the first song the CD
player selects will be the 4th song on the 3rd CD?
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Short Answer | 2007 | Question 15
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
A "wheat penny" is a United States penny that has a picture of wheat on one side. These pennies were only
produced from 1909 through 1958.
The members of a coin-collecting group counted the number of wheat pennies in each of their collections. The
line plot below shows the number of wheat pennies in each member's coin collection.
What is the mode of the data in the line plot?
DATA ANALYSIS, PROBABILITY AND STATISTICS
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61. Grade 10 | Mathematics | Short Answer | 2009 | Question 19
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The stem-and-leaf plot below shows the number of cars that crossed a bridge each day for 23 days.
Number of Cars per Day
That Crossed the Bridge
16
17
18
19
20
21
22
23
24
25
26
5
2
8
0
1
4
0
7
9
1 3 5 5 6 8 9
4 7
8
0 2 9
2
Key
24|9 represents 249
What was the median number of cars per day that crossed the bridge during this time period?
DATA ANALYSIS, PROBABILITY AND STATISTICS
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62. Grade 10 | Mathematics | Multiple Choice | 2002 | Question 6
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
Lani had a box that contained
•
•
•
•
•
1 blue marble;
1 green marble;
1 purple marble;
1 yellow marble; and
2 red marbles.
Lani removed one marble without looking, and she recorded the result. She placed the marble back in the box
and repeated the procedure one more time. What is the probability that Lani removed a red marble followed by
a blue marble?
A. 1
36
B. 1
18
C. 1
3
D. 1
2
DATA ANALYSIS, PROBABILITY AND STATISTICS
63. Grade 10 | Mathematics | Multiple Choice | 2002 | Question 10
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.2
Use the graph below to answer the following question
Which of the following equations best represents the data in the graph?
A. y = 2x + 3
1
B.
y=
x+3
2
C. y = 2x – 3
1
D.
y=
x–3
2
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DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2002 | Question 14
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The heights of the 20 players on a school soccer team are recorded in the box-and-whisker plot shown below.
Based on the information given in the box-and-whisker plot, which of the following statements is true?
A. The mean height of the team is 69 inches.
B. Half the players' heights are between 67 and 72 inches.
C. The shortest player on the team is 67 inches.
D. The range of heights of players on the team is 5 inches.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2002 | Question 25
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The circle graph below shows the Corbett family's monthly budget. The Corbett family has a total monthly
income of $2,000.
Mr. Corbett received a $100 per month raise. He increased the transportation expense portion of the monthly
budget by $100. To the nearest percent, what portion of the Corbetts' income is now being spent on
transportation expenses?
A. 14 percent
B. 19 percent
C. 20 percent
D. 21 percent
DATA ANALYSIS, PROBABILITY AND STATISTICS
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66. Grade 10 | Mathematics | Multiple Choice | 2002 | Question 29
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The average life spans of some animals are shown in the chart below.
Animal Life Spans
Animal
Average Life
Span (in years)
Bear
22
Chicken
7
Deer
12
Dog
11
Duck
10
Elephant
35
Fox
9
Horse
22
Hippopotamus
30
Wolf
11
Source: Farmer's Almanac 2000.
Based on the information given in the chart, which of the following statistics yields the greatest numerical value?
A. mean
B. median
C. mode
D. range
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2002 | Question 30
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
Janet is playing a game using the two spinners shown below. She will spin the arrow on each spinner once and
will move a specified number of steps forward or backward according to the results of the spins.
What is the probability that Janet will have to move backward less than 4 steps?
A. 1
8
B. 3
8
C. 1
2
D. 3
4
DATA ANALYSIS, PROBABILITY AND STATISTICS
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68. Grade 10 | Mathematics | Multiple Choice | 2002 | Question 32
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
In her closet, Megan has 6 different T-shirts, 5 different pairs of shorts, and 2 different hats. She pulls out 1 Tshirt, 1 pair of shorts, and 1 hat without looking. How many different combinations of 1 T-shirt, 1 pair of shorts,
and 1 hat are possible?
A. 11
B. 16
C. 32
D. 60
DATA ANALYSIS, PROBABILITY AND STATISTICS
69. Grade 10 | Mathematics | Multiple Choice | 2002 | Question 34
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The bar graph below shows the distribution of scores on a biology test.
Based on the graph, which of the following is not a valid conclusion?
A. The total number of students tested was 27.
B. At least 5 students scored fewer than 60 points.
C. A total of 9 students scored 75 points or fewer.
D. At least 8 students scored more than 80 points.
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DATA ANALYSIS, PROBABILITY AND STATISTICS
70. Grade 10 | Mathematics | Multiple Choice | 2001 | Question 3
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The scatter plot below gives information about four different car trips.
Which point represents the trip with the fastest average speed?
A. point A
B. point B
C. point C
D. point D
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DATA ANALYSIS, PROBABILITY AND STATISTICS
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71. Grade 10 | Mathematics | Multiple Choice | 2001 | Question 9
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
Julie designed a target computer game. On her computer screen, the circular targets look like the circular areas
shown below.
If the computer randomly generates a dot that lands within the circular areas, what is the approximate probability
that the dot will land in the shaded area?
A. 1
9
B. 2
9
C. 1
3
D. 2
3
DATA ANALYSIS, PROBABILITY AND STATISTICS
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72. Grade 10 | Mathematics | Multiple Choice | 2001 | Question 18
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The table below shows the distribution of CD sales of different types of music in a local store over a three-year
period.
CD Sales
Type
Year 1
Year 2
Year 3
Rock
39.4%
36.2%
35.6%
Pop
17.8%
16.5%
15.5%
Rap
11.6%
10.4%
10.7%
Country
7.7%
7.9%
7.8%
Other
23.5%
29.0%
30.4%
Total Sales (in
thousands)
$1,732.10
$2,269.30
$2,639.80
Based on this information, from Year 1 to Year 3 the total dollar value of this store's sales of pop music
A. increased.
B. decreased.
C. stayed the same.
D. Not enough information is given to tell.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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73. Grade 10 | Mathematics | Multiple Choice | 2001 | Question 26
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
A set of 36 cards is numbered with the positive integers from 1 to 36. If the cards are shuffled and one is chosen
at random, what is the probability that the number on the card is a multiple of both 4 and 6?
A. 1
12
B. 1
6
C. 5
12
D. 2
3
DATA ANALYSIS, PROBABILITY AND STATISTICS
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74. Grade 10 | Mathematics | Multiple Choice | 2001 | Question 36
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The mean salary of the ten clerks at the Corner Shop was $8.50 per hour. One of the clerks, who had been
making $9.50 per hour, was given a raise of $1.00 per hour. What is the new mean salary of the ten clerks?
A. $8.50
B. $8.60
C. $8.80
D. $9.00
DATA ANALYSIS, PROBABILITY AND STATISTICS
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75. Grade 10 | Mathematics | Multiple Choice | 2001 | Question 37
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
Joseph has two number cubes, each with faces labeled by the numbers -15, -10, -5, 5, 10, and 15.
If Joseph rolls the two cubes and adds the resulting numbers, what is the probability that the sum will be 0?
A. 1
36
B. 1
12
C. 1
4
D. 1
6
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Multiple Choice | 2001 | Question 39
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1
The box and whisker graph shown below represents the results of a survey of the estimated gas mileage of 100
car models.
Which statistics -mean, median, mode, range- can be determined from this graph?
A. mean only
B. median only
C. range and mean
D. range and median
DATA ANALYSIS, PROBABILITY AND STATISTICS
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77. Grade 10 | Mathematics | Multiple Choice | 1998 | Question 4
Reporting Category: Data Analysis, Statistics, and Probability Objective(s):
Which of the graphs most accurately depicts the wages earned with respect to the time worked?
A.
B.
C.
D.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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78. Grade 10 | Mathematics | Multiple Choice | 1998 | Question 8
Reporting Category: Data Analysis, Statistics, and Probability Objective(s):
Six students are participating in a fitness program. They are required to work out in pairs. How many different
combinations of pairs of students are possible?
A. 3
B. 5
C. 15
D. 30
DATA ANALYSIS, PROBABILITY AND STATISTICS
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79. Grade 10 | Mathematics | Multiple Choice | 1998 | Question 11
Reporting Category: Data Analysis, Statistics, and Probability Objective(s):
A test on a sample of 492 in-line skate wheels identified 3 defective wheels. Based on this rate of defects,
approximately how many defective wheels will be found per 10,000 wheels?
A. 20
B. 60
C. 100
D. 300
DATA ANALYSIS, PROBABILITY AND STATISTICS
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80. Grade 10 | Mathematics | Multiple Choice | 1998 | Question 13
Reporting Category: Data Analysis, Statistics, and Probability Objective(s):
One man and two women are seated randomly in a row. What is the mathematical probability that the two women
are seated together?
A. 1
3
B. 1
2
C. 2
3
D. 5
6
DATA ANALYSIS, PROBABILITY AND STATISTICS
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81. Grade 10 | Mathematics | Multiple Choice | 1998 | Question 14
Reporting Category: Data Analysis, Statistics, and Probability Objective(s):
In a bowling tournament, there were 2 scores in the 200s, 6 scores in the 180s, 5 scores in the 160s, 5 in the
150s, and 3 in the 130s. The median score would be in the
A. 150s.
B. 160s.
C. 180s.
D. There is not enough information given.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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82. Grade 10 | Mathematics | Multiple Choice | 1998 | Question 22
Reporting Category: Data Analysis, Statistics, and Probability Objective(s):
Based on the graph, which organization showed the most growth in membership over the 10-year period?
A. the Math Club
B. the Hiking Club
C. the Drama Club
D. The Drama Club and the Hiking Club are tied for the most growth.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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83. Grade 10 | Mathematics | Multiple Choice | 1998 | Question 23
Reporting Category: Data Analysis, Statistics, and Probability Objective(s):
60% of the cars owned by Best Car Rental are white and 30% have a standard transmission. If you randomly
choose a rental car, what is the probability that you will get a white car with a standard transmission?
A. 9
10
B.
9
100
C. 18
100
D. 90
100
DATA ANALYSIS, PROBABILITY AND STATISTICS
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84. Grade 10 | Mathematics | Open Response | 2002 | Question 17
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
Casey placed six identical cards in a box. Each card was marked with one integer using each of the integers 0, 1,
2, 3, 4, and 5 once. Casey drew two cards at random, one at a time, without replacing the first card.
a. Make a list, chart, or diagram of the possible outcomes when choosing two cards in this manner.
b. What is the probability that the sum of the integers on the two cards is greater than 9?
c.
Based on your response to part a., what is the most frequently occurring sum of the integers? What is the
probability that this sum will occur?
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Grade 10 | Mathematics | Open Response | 2001 | Question 40
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.3
A class of 25 students is asked to determine approximately how much time the average student spends on
homework during a one-week period. Each student is to ask one of his/her friends for the information, making
sure that no one student is asked more than once. The numbers of hours spent on homework per week are as
follows:
8, 0, 25, 9, 4, 19, 25, 9, 9, 8, 0, 8, 25, 9, 8, 7, 8, 3, 7, 8, 5, 3, 25, 8, 10
a. Find the mean, median, and mode for these data. Explain or show how you found each answer.
b. Based on this sample, which measure (or measures) that you found in part a best describes the typical
student? Explain your reasoning.
c. Describe a sampling procedure that would have led to more representative data.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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86. Grade 10 | Mathematics | Open Response | 1998 | Question 33
Reporting Category: Data Analysis, Statistics, and Probability Objective(s):
The table below represents the United States population (in millions) from 1986-1991.
Year U.S. Population in Millions
1986
239
1987
241
1988
243
1989
246
1990
248
1991
251
a. On the grid in your Student Answer Booklet [example shown below], plot the data using the year as the
horizontal (x) axis.
b. Draw a single straight line that best represents the data.
c. Explain why you drew your line as you did.
DATA ANALYSIS, PROBABILITY AND STATISTICS
87. Grade 10 | Mathematics | Short Answer | 1998 | Question 31
Reporting Category: Data Analysis, Statistics, and Probability Objective(s):
In Ms. Amud's math class, the final class grades showed the following statistics:
•
•
•
mean = 85
median = 85
range = 20
If nine students were in the class, list a possible set of scores.
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DATA ANALYSIS, PROBABILITY AND STATISTICS
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88. Grade 10 | Mathematics | Open Response | 2010 | Question 4 (modified)
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 8.D.4
Allen surveyed the 18 students in his class about the number of DVDs each of them rented last week. The table
below shows how many students rented each number of DVDs. For example, 10 students rented 1 DVD each.
Number of Students Renting Each Number of DVDs
Number of DVDs
Rented
Number of
Students
1
10
3
6
4
2
a. What is the mean number of DVDs rented per student?
b. What is the median number of DVDs rented per student? Show or explain how you got your answer
c.
What is the mode number of DVDs rented per student?
d. Construct a bar graph, clearly labeling your axis to illustrate the data above.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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89. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 40
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stem-andleaf plots, box-and-whisker p
The stem-and-leaf plot below shows the costs, in dollars, of all the textbooks at a school bookstore.
Based on the stem-and-leaf plot, what percent of the textbooks cost more than $80?
A. 40%
B. 45%
C. 50%
D. 55%
DATA ANALYSIS, PROBABILITY AND STATISTICS
90.
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Grade 10 | Mathematics | Multiple Choice | 2011 | Question 38
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stem-andleaf plots, box-and-whisker p
The price per pound of each kind of vegetable sold at a farmers' market is shown in the table below.
What is the mode of the prices per pound for the vegetables?
A. $0.95
B. $1.25
C. $1.49
D. $1.99
DATA ANALYSIS, PROBABILITY AND STATISTICS
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91. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 36
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
Deborah earned a total of $2000 from 5 different summer jobs. Which of the following types of graphs is the
most appropriate for showing the percent of money earned from each job?
A. histogram
B. line graph
C. scatterplot
D. circle graph
DATA ANALYSIS, PROBABILITY AND STATISTICS
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92. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 34
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stem-andleaf plots, box-and-whisker p
The table below shows the ticket costs for seats in different sections of a stadium.
What is the greatest number of bleacher seat tickets that can be bought for the cost of 12 lower deck seat
tickets?
A. 22
B. 32
C. 42
D. 52
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Oops!
93.
Grade 10 | Mathematics | Multiple Choice | 2011 | Question 32
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stem-andleaf plots, box-and-whisker plot)
The graph below shows the relationship between distance walked and number of calories burned.
Based on the graph, which of the following is closest to the number of calories that are burned by walking 1.5
miles?
A.
80
B.
120
C.
160
D.
240
DATA ANALYSIS, PROBABILITY AND STATISTICS
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94. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 30
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select, create, and
interpret an appropriate graphical representation (e.g., scatterplot, table, stem-and-leaf plots, box-andwhisker plot)
The line plot below shows the cost, in dollars, of each item sold at a bake sale.
Based on the histogram, which statement must be true?
A. No used car sold for $7,000.
B. Exactly 5 of the used cars sold for $4,000.
C. The most expensive used car sold for $11,999.
D. Most of the used cars sold for less than $6,000.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Oops!
95.
Grade 10 | Mathematics | Multiple Choice | 2011 | Question 24
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
The circle graph below represents the number of students enrolled in elective classes at Morris High School.
A circle graph titled
Each student is enrolled in only one elective class. Of the total number of students enrolled in elective classes,
are enrolled in art class. What is the total number of students enrolled in accounting class?
A. 200
B. 220
C. 340
D. 980
DATA ANALYSIS, PROBABILITY AND STATISTICS
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96. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 23
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stem-andleaf plots, box-and-whisker plot)
The circle graph below shows information about the budget for a school party.
The total budget for the party is $1500. What is the total dollar amount in the budget for entertainment?
A. $300
B. $450
C. $500
D. $1050
DATA ANALYSIS, PROBABILITY AND STATISTICS
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97. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 13
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stem-andleaf plots, box-and-whisker p
The list in the box below shows the ticket prices for ten concerts scheduled at a stadium.
$32, $36, $65, $30, $46, $19, $46, $40, $70, $16
A ticket price of $70 is added to the list. Which of the following measures of the data will change?
A. range
B. median
C. maximum
D. minimum
DATA ANALYSIS, PROBABILITY AND STATISTICS
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98. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 12
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stem-andleaf plots, box-and-whisker plot)
The scatterplot below shows the relationship between the length of a long-distance phone call and the cost of
the phone call.
Based on the line of best fit for the scatterplot, which of the following amounts is closest to the cost of a 120minute phone call?
A. $10
B. $12
C. $15
D. $20
DATA ANALYSIS, PROBABILITY AND STATISTICS
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99. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 9
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stem-andleaf plots, box-and-whisker p
The costs for different books at a yard sale are listed in the box below.
$0.75, $1.25, $3.00, $1.80, $2.00, $2.00
What is the mean cost of the books?
A. $1.80
B. $1.90
C. $2.00
D. $2.40
DATA ANALYSIS, PROBABILITY AND STATISTICS
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100. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 8
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker plot)
The table below shows the monthly rents charged for different apartments.
What is the median monthly rent charged for the apartments?
A. $900
B. $925
C. $938
D. $975
DATA ANALYSIS, PROBABILITY AND STATISTICS
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101. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 4
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
The bar graph below shows the one-year rate quotes Sanjay received from different car insurance companies.
What is the mean one-year rate for the quotes Sanjay received?
A. $875
B. $900
C. $950
D. $1025
DATA ANALYSIS, PROBABILITY AND STATISTICS
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102. Grade 10 | Mathematics | Multiple Choice | 2011 | Question 3
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.2 Approximate a line of best fit (trend line) given a set of data (e.g., scatterplot). Use technology
when appropriate.
Which of the following equations best represents the line of best fit for the scatterplot below?
A.
B.
C.
D.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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103. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 2
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker plot)
The stem-and-leaf plot below shows the number of miles a person rode a bicycle each weekday last month.
What is the range of the numbers of miles ridden?
A. 4.0
B. 3.6
C. 3.4
D. 1.5
DATA ANALYSIS, PROBABILITY AND STATISTICS
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104. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 2
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker plot)
Dev made a list of numbers, as shown in the box below.
4, 7, 9, 11, 13, 28
Pierre made a different list of numbers by multiplying each number from Dev's list by 2. What is the median of
Pierre's list?
A. 18
B. 20
C. 22
D. 24
DATA ANALYSIS, PROBABILITY AND STATISTICS
105.
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Grade 10 | Mathematics | Multiple Choice | 2012 | Question 7
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.2 Approximate a line of best fit (trend line) given a set of data (e.g., scatterplot). Use
technology when appropriate.
The scatterplot below shows the relationship between the number of minutes available for a cell phone plan
and the monthly cost, in dollars, of different cell phone plans.
Based on the line of best fit for the scatterplot, what is the expected number of minutes available for a cell
phone plan that has a monthly cost of $40?
A. 150
B. 250
C. 350
D. 450
DATA ANALYSIS, PROBABILITY AND STATISTICS
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106. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 7
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.2 Approximate a line of best fit (trend line) given a set of data (e.g., scatterplot). Use technology
when appropriate.
Which of the following is closest to the slope of the line of best fit for the scatterplot below?
A.
B.
C.
D.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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107. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 25
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
Gina surveyed a group of people about what search method each used most often to find a job. The circle
graph below represents their answers to her survey.
There were 32 people who answered that they used the Internet most often. What was the total number of
people that Gina surveyed?
A. 40
B. 80
C. 92
D. 128
DATA ANALYSIS, PROBABILITY AND STATISTICS
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108. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 26
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker plot)
The bar graph below shows the number of items returned to a clothing store each day for 5 days.
Based on the graph, what is the mean number of items returned to the store for the 5 days?
A. 7
B. 11
C. 13
D. 14
DATA ANALYSIS, PROBABILITY AND STATISTICS
109.
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Grade 10 | Mathematics | Multiple Choice | 2012 | Question 32
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker plot)
A data set has 6 different numbers. A student calculated the mean, median, and mode of the data set. The
student then removed the lowest number from the data set and calculated the mean, median, and mode again.
What measures of central tendency must change when the lowest number is removed from the data set?
A. mean only
B. median only
C. median and mode
D. median and mean
DATA ANALYSIS, PROBABILITY AND STATISTICS
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110. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 33
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
The box-and-whisker plot below shows the numbers of pictures that can be stored on different digital cameras.
What is the median number of pictures that can be stored?
A. 250
B. 300
C. 350
D. 400
DATA ANALYSIS, PROBABILITY AND STATISTICS
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111. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 34
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
The bar graph below shows the daily high temperatures, in degrees Fahrenheit, in Windham for 14 days.
Based on the bar graph, what was the mode of the daily high temperatures for the 14 days?
A. 49°F
B. 52°F
C. 55°F
D. 59°F
DATA ANALYSIS, PROBABILITY AND STATISTICS
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112. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 37
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
The stem-and-leaf plot below shows the age, in years, of each runner in a road race.
What is the total number of runners between the ages of 35 and 55 years?
A. 12
B. 17
C. 19
D. 20
DATA ANALYSIS, PROBABILITY AND STATISTICS
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113. Grade 10 | Mathematics | Multiple Choice | 2012 | Question 40
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
A farmer has three cats named Elmer, Max, and Whiskers.
•
•
•
Elmer weighs 18 pounds.
Max's weight is the same as Whiskers's weight.
The mean weight of the three cats is 14 pounds.
What is the weight, in pounds, of Whiskers?
A. 24
B. 22
C. 20
D. 12
DATA ANALYSIS, PROBABILITY AND STATISTICS
114.
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Grade 10 | Mathematics | Open Response | 2011 | Question 41
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
The numbers of games won and lost by six local baseball teams are shown in the double bar graph below.
a) How many more games did the Hawks win than the Wolves won? Show or explain how you got your
answer.
b) For the Panthers, what is the ratio of games won to games played? Show or explain how you got your
answer.
c) Which of the six teams has the greatest ratio of games won to games played? Show or explain how
you got your answer.
The Scorpions later played additional games that were not included in the double bar graph. The additional
games changed the Scorpions' ratio of games won to games played to
.
d) What is the least number of additional games the Scorpions could have played? Show or explain how
you got your answer.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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Oops!
115.
Grade 10 | Mathematics | Open Response | 2011 | Question 21
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
The number of days Carter went to the gym each month during a 6-month period is shown in the line graph
below.
a) In which months did Carter go to the gym more than 15 days?
b) What is the range of the number of days per month Carter went to the gym over the 6-month period?
Show or explain how you got your answer.
c) What is the mean number of days per month Carter went to the gym over the 6-month period? Show or
explain how you got your answer.
Carter wants the mean number of days he goes to the gym each month for the full year to be 20. He plans to
go to the gym the same number of days each month for the next 6 months.
d) What is the number of days Carter should go to the gym each month for the next 6 months so that the
mean for the full year is 20 days? Show or explain how you got your answer.
DATA ANALYSIS, PROBABILITY AND STATISTICS
116.
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Grade 10 | Mathematics | Open Response | 2012 | Question 20
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
The line plot below shows the number of hits made by each of 10 players on a baseball team during batting
practice.
a) What was the mode of the numbers of hits made by the players? Show or explain how you got your
answer.
b) What was the median number of hits made by the players? Show or explain how you got your answer.
c) What was the mean number of hits made by the players? Show or explain how you got your answer.
Two additional players arrived at practice. The number of hits made by each additional player was included in
the line plot with the following results:
•
•
The median number of hits increased.
The mode of the numbers of hits remained the same.
d) What could be the number of hits made by each of the two additional players? Show or explain how
you got your answer.
DATA ANALYSIS, PROBABILITY AND STATISTICS
117.
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Grade 10 | Mathematics | Open Response | 2012 | Question 20
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
The line plot below shows the weights, in pounds, of 18 different astronauts.
a) What is the mode of the weights, in pounds, of the astronauts? Show or explain how you got your
answer.
b) What is the range of the weights, in pounds, of the astronauts? Show or explain how you got your
answer.
c) What is the median weight, in pounds, of the astronauts? Show or explain how you got your answer.
The weight of an astronaut's spacesuit is 110 pounds.
d) Describe how the median will change when the weight of a spacesuit is added to each of the
astronaut's weights. Show or explain how you got your answer.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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118. Grade 10 | Mathematics | Open Response | 2012 | Question 31
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
The ages, in years, of the 11 reporters who work at a newspaper are listed below.
28, 45, 61, 40, 55, 58, 33, 27, 35, 33, 46
a) In your Student Answer Booklet, make a stem-and-leaf plot of the reporters' ages. Be sure to include a
title and a key for your plot.
b) What is the range of the ages, in years, of the reporters? Show or explain how you got your answer.
c) What is the median age, in years, of the reporters? Show or explain how you got your answer.
The newspaper hired a new reporter. When the age of the new reporter was included in the stem-and-leaf plot,
the range increased by 4 years.
d) What is one possible median age that could result from including the new reporter's age in the stemand-leaf plot? Show or explain how you got your answer.
DATA ANALYSIS, PROBABILITY AND STATISTICS
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119. Grade 10 | Mathematics | Short Answer | 2011 | Question 18
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
The line plot below shows the ages, in years, of students who volunteered to clean up a park one weekend.
What is the median age of the students who volunteered?
DATA ANALYSIS, PROBABILITY AND STATISTICS
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120. Grade 10 | Mathematics | Short Answer | 2012 | Question 16
Reporting Category: Data Analysis, Statistics, and Probability Standard(s): 10.D.1 - Select,
create, and interpret an appropriate graphical representation (e.g., scatterplot, table, stemand-leaf plots, box-and-whisker p
The number of hours a teacher tutored each week for 8 weeks is listed below.
10, 5, 6, 8, 0, 10, 10, 7
What is the mean number of hours the teacher tutored for the 8 weeks?
DATA ANALYSIS, PROBABILITY AND STATISTICS
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ANSWER KEY
1) B
11) A
21) A
31) C
41) C
51) OR
61) 218
71) A
81) B
2) C
12) B
22) B
32) C
42) D
52) OR
62) B
72) A
82) D
3) A
13) A
23) D
33) B
43) C
53) OR
63) B
73) A
83) C
4) C
14) A
24) C
34) A
44) D
1
6
64) B
74) B
84) OR
5) B
15) C
25) B
35) B
45) B
55) 88
miles
65) B
75) D
85) OR
6) D
16) B
26) D
36) B
46) B
56) 46F
66) D
76) D
86) OR
7) C
17) C
27) D
37) A
47) OR
4
5
67) B
77) A
87) OR
8) C
18) D
28) A
38) B
48) OR
58) 1
68) D
78) C
88)
9) C
19) A
29) D
39) A
49) OR
1
60
69) B
79) B
89)
10) C
20) C
30) A
40) D
50) OR
60) 31
70) A
80) C
90)
54)
57)
59)
DATA ANALYSIS, PROBABILITY AND STATISTICS
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91)
101)D
111)A
121)
131)
141)
151)
161)
171)
181)
92)
102)A
112)B
122)
132)
142)
152)
162)
172)
182)
93)
103)B
113) D
123)
133)
143)
153)
163)
173)
183)
94)D
104)B
114)O
R
124)
134)
144)
154)
164)
174)
184)
95)B
105)B
115)
OR
125)
135)
145)
155)
165)
175)
185)
96)B
106)A
116)
OR
126)
136)
146)
156)
166)
176)
186)
97)B
107)B
117)
OR
127)
137)
147)
157)
167)
177)
187)
98)B
108)D
118)
OR
128)
138)
148)
158)
168)
178)
188)
99)A
109)D
119)17
129)
139)
149)
159)
169)
179)
189)
100)B
110)A
120)
130)
140)
150)
160)
170)
180)
190)
7hrs
DATA ANALYSIS, PROBABILITY AND STATISTICS
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