Which statement best describes a random sample of all students in a middle school?
A. Of all the students who are on the track team, the first three to finish a race are selected.
B. Of all the students who are in the drama club, every third student on the roster is selected.
C. Of all the students who complete an assignment, the first, third, and tenth students are selected.
D. Of all the students who attend a school-wide assembly, those sitting in every third seat are selected.
D. Of all the students who attend a school-wide assembly, those sitting in every third seat are selected.
Four candidates are running for school president. A random sample of students at the school are surveyed about which of the candidates they are likely to choose. The chart below shows the number of students from the random sample who chose each candidate.
Deb = 10
Janelle = 20
Rasheed = 12
Terry = 8
A total of 800 students are expected to vote in the election for school president. Based on the information shown in the chart, which election outcome is most likely?
A. Rasheed will win with 192 votes.
B. Rasheed will win with 189 more votes than he had in the survey.
C. Janelle will win with 8 more votes than the second-place finisher, Rasheed.
D. Janelle will win with 128 more votes than the second-place finisher, Rasheed.
D. Janelle will win with 128 more votes than the second-place finisher, Rasheed.
Isabella and Mateo each collect polished rocks. The weights, in ounces, of their rocks are listed below.
Which statistical measure could be used to support the claim that Mateo’s rocks generally weigh more than Isabella’s rocks?
A. mean
B. median
C. mode
D. range
A. mean
A computer scientist writes a program to generate single-digit and double-digit numbers using the digits 1 and 2. The probabilities the scientist used in the program are shown in the table below.
Description
Probability
single-digit number containing only 1
single-digit number containing only 2
double-digit number containing only 1s
double-digit number containing only 2s
double-digit number containing a 1 and a 2
Which statement about the likelihood of a number being generated by the program is true?
A. The program is unlikely to generate a double-digit number.
B. The program is more likely to generate a single-digit number than a double-digit number.
C. The program is equally likely to generate a single-digit number as a double-digit number.
D. The program is more likely to generate a double-digit number containing only 1s or only 2s than a double-digit number containing a 1 and a 2.
B. The program is more likely to generate a single-digit number than a double-digit number.
In a deck of 16 colored cards, 4 are red, 4 are blue, 4 are green, and 4 are yellow. Each set of colored cards also has a number on it from 1 to 4. What is the probability that one card selected at random from the deck is a blue card with an odd number on it?
A.
B.
C.
D.
A.
Lee will conduct a survey at his school. He will select a random sample of students at the school to take the survey. Which sample is the best random sample for Lee to use?
A. every other student in the drama club
B. every fifth student who enters the school
C. every student who rides the same bus as Lee
D. every fourth student in Lee’s homeroom class
B. every fifth student who enters the school
A grocery store manager selected 100 customers at random to ask each customer what the maximum price is that he or she would pay for a box of a new cereal. The box-and-whisker plot below summarizes the data.
The manager wants to set the price so 75% of the customers are willing to pay for the new cereal. Based on the information shown in the box-and-whisker plot, what is the maximum amount the manager should set as the price for the new cereal?
A. $2.60
B. $3.00
C. $3.25
D. $3.50
A. $2.60
The data sets below show the numbers of books read by 10 students and 10 teachers at a
school during the last 3 months.
students: 2 4 5 5 7 8 10 12 15 16
teachers: 6 7 7 8 8 8 10 10 14 14
Which statement about the variability of the two data sets is true?
A. The teachers’ data set has more variability because it has a single value that repeats 3 times and the students’ data set does not.
B. The students’ data set has more variability because the maximum value in the students’ data set is greater than the maximum value in the teachers’ data set.
C. The teachers’ data set has more variability because the minimum value in the teachers’ data set is greater than the minimum value in the students’ data set.
D. The students’ data set has more variability because the maximum and minimum values are more spread out than the maximum and minimum values in the teachers’ data set.
D. The students’ data set has more variability because the maximum and minimum values are more spread out than the maximum and minimum values in the teachers’ data set.
A bag contains 40 jellybeans. The jellybeans are described below.
• There are exactly 10 blue jellybeans in the bag.
• Of the jellybeans in the bag, are red.
• Of the jellybeans in the bag, 20% are yellow.
• The rest of the jellybeans in the bag are green.
A jellybean is selected at random from the bag. Which outcome is most likely?
A. A blue jellybean is selected.
B. A red jellybean is selected.
C. A yellow jellybean is selected.
D. A green jellybean is selected.
D. A green jellybean is selected.
Robin has a bag with 12 erasers in it. There are 6 green erasers, 3 yellow erasers, 2 blue erasers, and 1 pink eraser. She randomly selects an eraser, records the color, and puts the eraser back into the bag. She does this 120 times. About how many times should Robin expect to select a blue eraser?
A. 2
B. 20
C. 24
D. 30
B. 20
Andre wants to survey a random sample of the student body in his school to find out which day after school would work best for students to do volunteer work for a local charity. Which sample would best represent the student body?
A. asking twenty students waiting in line for lunch
B. asking twenty students on their way to the bus after school
C. asking one person from the seventh grade daily for twenty days
D. asking one person each from twenty different classrooms during the first class period
D. asking one person each from twenty different classrooms during the first class period
Fans of a local baseball team get to vote on who the most valuable player was on the team during the season. The table below shows the number of votes 4 players have received after 100 votes have been counted.
Player
Number of
Votes
Paolo
10
Quincy
40
Rebecca
20
Sandra
30
There are 400 more votes that need to be counted. How many more votes can Quincy expect to have than the second place player once all the votes are counted?
A. 10
B. 40
C. 50
D. 100
C. 50
Dorian and Sarah are the only two students running for class president. There are 311 votes in the election. Every vote is for either Dorian or Sarah. Which outcome is certain to happen?
A. Either Dorian or Sarah will receive exactly 156 votes.
B. Neither Dorian nor Sarah will receive exactly 156 votes.
C. Either Dorian or Sarah will receive at least 156 votes.
D. Neither Dorian nor Sarah will receive at least 156 votes.
C. Either Dorian or Sarah will receive at least 156 votes.
There are 24 seniors, 15 juniors, 7 sophomores, and 3 freshmen on a football team. Each player is entered once in a drawing to win a pair of tickets. Which of the following best describes the probability that a senior will win the pair of tickets?
A. impossible
B. unlikely
C. as likely as not
D. likely
C. as likely as not
Jaylin plants 40 lettuce seeds. About 1 out of every 8 lettuce seeds will produce red lettuce, and the rest will produce green lettuce. How many of the seeds Jaylin plants should he expect to produce red lettuce?
A. 1
B. 5
C. 33
D. 35
B. 5
For a class assignment, Tyler will conduct a survey to find out what students like to do after school. He asks the first 10 people he sees in the gymnasium before school what they like to do after school. Which statement correctly explains whether Tyler's sample is a random sample?
A. Tyler’s sample is not random because he only asks 10 people.
B. Tyler’s sample is not random because he asks people in a gymnasium.
C. Tyler’s sample is random because he asks the first 10 people he sees.
D. Tyler’s sample is random because he asks each person the same question.
B. Tyler’s sample is not random because he asks people in a gymnasium.
A sample of 8 pitchers of skim milk and 8 pitchers of whole milk are in a refrigerator. The table below lists the amount of calcium, in milligrams, in each pitcher of milk.
Skim Milk
853
854
856
857
865
886
904
916
Whole Milk
818
836
841
870
874
879
881
938
Based on the information shown in the table, which statement about the distribution of calcium in skim milk and the distribution of calcium in whole milk is true?
A. Both distributions have exactly one mode.
B. Both distributions have a median that is less than 870 milligrams.
C. The range of the distribution of calcium in whole milk is almost twice the range of the distribution of calcium in skim milk.
D. The range of the distribution of calcium in whole milk is 85 milligrams more than the range of the distribution of calcium in skim milk.
C. The range of the distribution of calcium in whole milk is almost twice the range of the distribution of calcium in skim milk.
Pat is conducting a probability experiment using the spinner pictured below.
Pat spins the spinner one time. Which statement about the result of the spin is true?
A. Region 1 is certain.
B. Region 3 is impossible.
C. Region 2 is more likely than region 3.
D. Region 1 and region 2 are equally likely
C. Region 2 is more likely than region 3.
Using data from car sales, probabilities for the color of a car sold were calculated. The probabilities for two colors are listed below.
• The probability a car sold is white is 0.21.
• The probability a car sold is black is 0.19.
Based on these probabilities, how many of the next 200 cars sold are likely to be white and how many are likely to be black?
A. white: 11
black: 10
B. white: 21
black: 19
C. white: 42
black: 38
D. white: 80
black: 80
C. white: 42
black: 38
A nursery sells tulip plants. Each plant has 1 tulip. The tulips come in 4 different colors. The tulip plants available at the nursery are listed below.
• 22 plants with a red tulip
• 30 plants with a pink tulip
• 28 plants with a yellow tulip
• 20 plants with a white tulip
Amy purchases one tulip plant at random. What is the probability that Amy’s tulip plant has a tulip that is not pink?
A.
B.
C.
D.
C.
Kevin conducted a survey to see when he should have tryouts for his new rock band. He
asked the first 25 students that got on the school bus after school when he should have the
tryouts. Which statement best explains whether Kevin used a random sample?
A. Kevin used a random sample because the people he asked were not necessarily his friends.
B. Kevin used a random sample because he asked the first 25 people that got on the school bus.
C. Kevin did not use a random sample because he did not ask people about their preference in music.
D. Kevin did not use a random sample because he only asked people that went home on the school bus after school.
D. Kevin did not use a random sample because he only asked people that went home on the school bus after school.
The numbers of runs scored per game by this year’s school baseball team and softball team are listed below.
baseball: 0 0 1 1 1 2 3 4 5 6 6 7
softball: 0 0 1 2 4 4 4 5 7
Which statement correctly uses a measure of center to compare the two teams?
A. The teams scored the same number of runs per game because the median is the same for both teams.
B. The teams scored the same number of runs per game because the mean runs scored for each team is the same.
C. The baseball team scored more runs per game than the softball team scored because the baseball team played more games than the softball team played.
D. The softball team scored more runs per game than the baseball team scored because the mode for the softball team is greater than the mode for the baseball team.
B. The teams scored the same number of runs per game because the mean runs scored for each team is the same.
As of 2012, there have been 8 players in the history of professional baseball who have each hit more than 600 home runs in his career. There have been over 15,000 professional baseball players throughout the history of professional baseball. Which term best describes the likelihood that a randomly chosen professional baseball player has hit more than 600 home runs in his career?
A. impossible
B. unlikely
C. neither unlikely nor likely
D. likely
B. unlikely
A chair can be purchased in one of four colors: red, white, green, or blue. The number of chairs purchased in each color is listed below.
• red: 150
• white: 450
• green: 225
• blue: 375
Based on the information shown in the list, what is the probability that the next chair purchased will be red?
A.
B.
C.
D.
A.
Carla uses a special 12-sided number polyhedron for some experiments. Some information about the polyhedron is listed below.
There is a probability that Carla will roll a number that is a multiple of 3.
There is a probability that Carla will roll a prime number.
Carla rolls her 12-sided number polyhedron two times. What is the probability that Carla rolls a multiple of 3 on her first roll, and a number that is not a prime number on her second roll?
A.
B.
C.
D.
B.