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WorksheetsRandom Sampling 7PAR4.11
Total questions: 174
Worksheet time: 9hrs 20mins
A ______ is the entire set of objects from which data might be collected
sample
population
sample statistic
population characteristic
A _______ is a subset or part of the population that you can collect data from.
sample
population
sample statistic
population characteristic
True or False:
All samples lead to a good prediction about the entire population.
True
False
A student wants to know which type of of pizza middle school students prefer. Which of the following options is a good, representative sample of the population?
Asking all of the 5th graders
Asking 20 students from each grade level in the middle school
Asking all of the teachers
Asking the students who walk to school each day
A beverage company wants to see if people in the United States like their new logo. Which of the following represents the population?
2,000 middle school students
A selection of logo designers
A selection of shoppers from different states
All of the people in the United States
A beverage company wants to see if people in the United States like their new logo. Which of the following would be the best selection for a sample.
2,000 middle school students
A selection of logo designers
A selection of shoppers from different states
All of the people in the United States
Which of the following is NOT a reason why random samples are preferred over surveying the entire population.
A random sample allows you to survey whoever you are friends with
Surveying the entire country may cost too much money
Surveying the entire population may take too much time
Surveying the entire country may be difficult if everyone does not respond
For which of the following situations would you want to collect a sample rather than surveying the entire population?
The typical number of home runs for a player on the local baseball team
How many students in our class like mushrooms on pizza
How many students in our class have more than one pet
The median price of homes in Ohio
A toy store owner wants to know how much kids spend each month on toys. Which choice is the best representation of the population?
220 wealthy kids
All kids who buy toys
100 boys between ages 8 to 12
125 girls between ages 4 to 10
Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?
30 of her friends
30 randomly selected students in the school
30 students who are often tardy
30 students who are often on time
A school principal wants to see which subject the 695 students in his school liked best. Which choice BEST represents a representative sample?
All girls in the school
All students who have an A in Social Studies
All students who are failing science
1 class from each grade level
True or False:
You want to see how many students take the bus home from school. You go to the bus stop and ask students how they get home everyday. This is a good, representation of the population.
True
False
1. 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?
Tyler’s sample is not random because he only asks 10 people
Tyler’s sample is not random because he asks people in a gymnasium.
Tyler’s sample is random because he asks the first 10 people he sees.
Tyler’s sample is random because he asks each person the same question
1. 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?
Tyler’s sample is not random because he only asks 10 people
Tyler’s sample is not random because he asks people in a gymnasium.
Tyler’s sample is random because he asks the first 10 people he sees.
Tyler’s sample is random because he asks each person the same question
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?
asking twenty students waiting in line for lunch
asking twenty students on their way to the bus after school
asking one person from the seventh grade daily for twenty days
asking one person each from twenty different classrooms during the first class period
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 above shows the number of students from the random sample who chose each candidate.
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?
Rasheed will win with 192 votes.
Rasheed will win with 189 more votes than he had in the survey
Janelle will win with 8 more votes than the second-place finisher, Rasheed.
Janelle will win with 128 more votes than the second-place finisher, Rasheed
4. Customers in two randomly selected groups at a yogurt shop are asked their preference of yogurt flavors. The responses for the customers in each group are summarized in the table above.
Based on the information shown in the table, which statement best describes the preferences of the customers in the two groups?
In both groups, more customers prefer peach-flavored yogurt than either of the other two flavors.
In both groups, fewer customers prefer vanilla-flavored yogurt than either of the other two flavors.
In group 2, the same number of customers prefer strawberry-flavored yogurt and vanilla-flavored yogurt.
In group 1, more customers prefer either strawberry-flavored yogurt or vanilla-flavored yogurt than peach-flavored yogurt.
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?
every other student in the drama club
every fifth student who enters the school
every student who rides the same bus as Lee
every fourth student in Lee’s homeroom class
Which statement best describes a random sample of all students in a middle school?
Of all the students who are on the track team, the first three to finish a race are selected.
Of all the students who are in the drama club, every third student on the roster is selected.
Of all the students who complete an assignment, the first, third, and tenth students are selected.
Of all the students who attend a school-wide assembly, those sitting in every third seat are selected.
A school principal wants to know how teachers are liking the new rules she put in place. She surveys all the math and science teachers. Is this a biased sample or unbiased sample?
Biased Sample
Unbiased Sample
A high school is going to have a party for their graduating seniors. They want to serve food that most of the seniors like. They pick 25 random names from a hat and survey those students. Is this a biased sample or unbiased sample?
Biased Sample
Unbiased Sample
Casey surveyed the members of his soccer team to ask them what their favorite sport is. Is this a biased sample or unbiased sample?
Biased Sample
Unbiased Sample
A school district wants to know if parents would prefer to get phone calls or emails from the schools. They survey the parents of all the seventh grade students enrolled in the district. Is this a biased sample or unbiased sample?
Biased Sample
Unbiased Sample
Shelley wants to survey grocery shoppers about their favorite brands. She goes to the store at 8am and surveys the first 50 people. Is this a biased sample or unbiased sample?
Biased Sample
Unbiased Sample
Green Valley Middle School conducted a survey of 125 random students asking them how much time they spend each night on homework. Is this a biased sample or unbiased sample?
Biased Sample
Unbiased Sample
An airline wants to know if people prefer to check their luggage or carry it on. They ask every 10th person that walks into the airport. Is this a biased sample or unbiased sample?
Biased Sample
Unbiased sample?
Debbie surveyed all the students who ride the bus to school to find how long they take to get ready in the morning. Is this a biased sample or unbiased sample?
Biased Sample
Unbiased Sample
A middle school surveyed random students to find out which elective the students want to take next year. The results are shown here. How many total students were surveyed?
20
40
14
6
Based on the results of this survey, which elective was least popular and should be canceled?
Spanish
Theater
Art
A ______ is the entire set of objects from which data might be collected
sample
population
sample statistic
population characteristic
A _______ is a subset or part of the population that you can collect data from.
sample
population
sample statistic
population characteristic
True or False:
All samples lead to a good prediction about the entire population.
True
False
Which statement best describes a random sample of all students in a middle school?
Of all the students who are on the track team, the first three to finish a race are selected.
Of all the students who are in the drama club, every third student on the roster is selected.
Of all the students who complete an assignment, the first, third, and tenth students are selected.
Of all the students who attend a school-wide assembly, those sitting in every third seat are selected.
A beverage company wants to see if people in the United States like their new logo. Which of the following represents the population?
2,000 middle school students
A selection of logo designers
A selection of shoppers from different states
All of the people in the United States
A beverage company wants to see if people in the United States like their new logo. Which of the following would be the best selection for a sample.
2,000 middle school students
A selection of logo designers
A selection of shoppers from different states
All of the people in the United States
For which of the following situations would you want to collect a sample rather than surveying the entire population?
The typical number of home runs for a player on the local baseball team
How many students in our class like mushrooms on pizza
How many students in our class have more than one pet
The median price of homes in Ohio
A toy store owner wants to know how much kids spend each month on toys. Which choice is the best representation of the population?
220 wealthy kids
All kids who buy toys
100 boys between ages 8 to 12
125 girls between ages 4 to 10
Ana wants to know the average student’s opinion of the tardy policy at her school. Which group of students should she survey in order to achieve the most accurate results?
30 of her friends
30 randomly selected students in the school
30 students who are often tardy
30 students who are often on time
A school principal wants to see which subject the 695 students in his school liked best. Which choice BEST represents a representative sample?
All girls in the school
All students who have an A in Social Studies
All students who are failing science
1 class from each grade level
True or False:
You want to see how many students take the bus home from school. You go to the bus stop and ask students how they get home everyday. This is a good, representation of the population.
True
False
1. 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?
Tyler’s sample is not random because he only asks 10 people
Tyler’s sample is not random because he asks people in a gymnasium.
Tyler’s sample is random because he asks the first 10 people he sees.
Tyler’s sample is random because he asks each person the same question
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?
asking twenty students waiting in line for lunch
asking twenty students on their way to the bus after school
asking one person from the seventh grade daily for twenty days
asking one person each from twenty different classrooms during the first class period
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?
every other student in the drama club
every fifth student who enters the school
every student who rides the same bus as Lee
every fourth student in Lee’s homeroom class
yes
no
yes
no
yes
no
The office clerk gave the researcher a list of 500 Grade 10 students. The
researcher selected every 20th name on the list.
Simple Random
Systematic
Stratified
Cluster
In a recent research that was conducted in a private school, the subjects
of the study were selected using the Table of Random Numbers.
Simple Random
Systematic
Stratified
Cluster
A researcher interviewed people from each town in the province of Albay
for his research on population.
Simple Random
Systematic
Stratified
Cluster
A researcher is doing a research work on the student’s reaction to the
newly implemented curriculum in Mathematics and interviewed every
10th student entering the gate of the school.
Simple Random
Systematic
Stratified
Cluster
A researcher who is studying the effects of educational attainment on
promotion conducted a survey of 50 randomly selected workers from
each of these categories: high school graduate, with undergraduate
degrees, with master’s degree, and with doctoral degree.
Simple Random
Systematic
Stratified
Cluster
A researcher selected a sample of 𝑛 = 120 from a population of 850 by
using the Table of Random Numbers
Simple Random
Systematic
Stratified
Cluster
A researcher interviewed all top 10 Grade 11 students in each of 15
randomly selected private schools in Metro Manila.
Simple Random
Systematic
Stratified
Cluster
A researcher randomly selected 10 barangays in a town for her study.
She did this by writing the names of each barangay on a piece of paper
which she folded and put in a bowl then she draws 10 pieces of each
paper from the bowl.
Simple Random
Systematic
Stratified
Cluster
A teacher asked her students to fall in line. She instructed one of them to
select every 5th student on the line.
Simple Random
Systematic
Stratified
Cluster
A researcher chose the subjects of her study by selecting every kth
member of the population.
Simple Random
Systematic
Stratified
Cluster
For a school project, three students need to produce a sample of students at their school. Which of the following methods leads to a random sample?
Numbering all the students and produce the sample from a random list of numbers
Calling for volunteers at the school assembly
Calling for volunteers via social media
Asking each of their friends to name three further friend2
An elementary school principal wants to evaluate the teaching quality of the school by collecting data from a sample of students. Which of the following is not a suitable stratum to be used to collect the sample?
gender
grade level
race
first name
At a local golf club, there are 50 male members and 30 female members. A representative sample of 10 random male members and 6 random female members is chosen. Which of the following is the sampling method used?
simple random sampling
systematic random sampling
stratified sampling
Poole wants to know how students at OV rate the school lunch. I surveyed my IB Psych class to rate the food. Is this a biased sample of the school's population?
Yes because it is a convenience sample. The sample is asking a very specific group that may not accurately match the population.
No, the IB Psych class has the smartest students and the best foodies.
Yes, because it is a voluntary survey that only interested students took.
No, Poole should have asked the culinary class since have more experience with food.
You want to know what is the favorite sport for Sophomores at OVHS. You ask 10th graders who want to participate to go to the office during their lunch period to complete a survey. This is...
Biased, no one likes sports.
Biased, people were randomly selected.
Unbiased.
Biased, it is a volunteer sample, meaning only interested people complete the survey.
To find out what sort of events they should plan, the student government officers at OVHS send a survey to 40 students, 10 in each grade, whose names were randomly selected. The population they are interested in is...
only the 30 OVHS students
all students at OVHS
only students who respond to the survey
all high school students in HB
For a class assignment, Tyler will conduct a survey to find out what students like to do after school. He asks the first 30 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?
Tyler's sample is not random because he only asks 30 people
Tyler's sample is random because he asks only the first 10 people he sees
Tyler's sample is not random because he asks people in a gymnasium, which could skew his results to sports
Tyler's sample is random because he asks each person the same question
involves simply asking anyone who happens to be there if they would like to participate. For instance, asking students in the library if they would be willing to complete a survey.
random sampling
convenience sampling
volunteer sampling
snowball sampling
is when every person in the target population has an equal chance of being sampled. Typically, researchers will have the names of every person in the target population, and will select names at random. This method is often used in telephone surveys before an election - every telephone number has an equal chance of being selected.
random sampling
convenience sampling
volunteer sampling
snowball sampling
Identify the sampling method used in this situation.
Select three JV and three Varsity basketball players to receive ice cream by putting the JV names in one hat and all the Varsity names in a different hat and picking out three names from each hat.
Simple Random
Systematic
Stratified
Cluster
Identify the sampling method used in this situation.
A video store wants to know what PS3 games are most popular in the state. It surveys people that come into its store.
Simple Random
Systematic
Stratified
Convenience
Identify the sampling method used in this situation.
A teacher wants to know what percent of students read the chapter. He asks a few students in his class.
Simple Random
Stratified
Cluster
Convenience
Students at North River High School are assigned to home rooms with 25 students each. You randomly select 4 homerooms and gather data from each of the 100 students in these classes.
What type of sampling method was used?
Simple Random
Cluster
Stratefied
Systematic
If you choose 5 bingo balls from a basket of 50 balls, what sampling technique are you using?
(a)
Which of the following doesn’t result in some form of bias?
Choosing AP students to survey regarding their GPA in order to estimate the average GPA in a school.
Polling a group of potential voters outside a Republican campaign office in order to estimate the proportion of city residents who favor a particular candidate.
Surveying people who work in the marketing department of a large corporation in order to assess employee satisfaction with management policies.
Choosing a stratified random sample of juniors and seniors at a high school in order to estimate the proportion of juniors and seniors who plan to go on to college.
Asking shoppers leaving a grocery store if they think groceries should cost less in order to estimate the proportion of city residents who think groceries cost too much.
To avoid working late, the quality control manager inspects the last 10 items produced that day.
Convenience
Random
Self Selected
Systematic
You want to know which store shoppers at the mall visit the most. You ask every 10th person as they enter the mall which store they visit.
Random
Not Random
You want to know what the 7th grade students think of their science class. You poll 100 random 7th graders.
Random
Not Random
A hip-hop radio station wants to know what type of music is the most popular. They ask their listeners to call in and select their favorite type of music.
Random
Not Random
The owners of a local game store put all their customers' email addresses in a hat. They draw 150 names and email them a customer survey.
Random
Not Random
You ask 50 people in your local grocery store which grocery store is their favorite.
Random
Not Random
Lana and Jeff each randomly surveyed 15 students about their favorite types of movies. What would you expect to see in the samples? Select all that apply.
Different members are found in each sample.
Some members may possibly overlap in each sample.
Each sample gave the same responses.
Both samples could be representative of the population.
Both samples include only Lana and Jeff's friends.
The principal at Marina Middle School wants to determine if the 120 students in the seventh grade prefer to visit Catalina Island or Camp Mosaic for their end-of-year trip. Which of the following is a representative sample of the population? Select all that apply.
20 sixth-grade students, 20 seventh-grade students, and 20 eighth-grade students
10 seventh-grade boys and 10 seventh-grade girls
25 seventh-grade students
15 seventh-grade boys and 5 teachers
25 students from the school
If you choose 5 bingo balls from a basket of 50 balls, what sampling technique are you using?
(a)
This is the most commonly seen distribution pattern. Example: wolves. This is usually because there are resources found in particular areas and the organisms need more space to survive.
random
clumped
uniform
How do you ensure that the quadrat is placed randomly?
Throw the quadrat into the field.
Place the quadrat near where you are standing.
Divide the area into a grid and choose the coordinates.
Divide the area into a grid and use a random number generator to select coordinates.
Poole wants to know how students at OV rate the school lunch. I surveyed my IB Psych class to rate the food. Is this a biased sample of the school's population?
Yes because it is a convenience sample. The sample is asking a very specific group that may not accurately match the population.
No, the IB Psych class has the smartest students and the best foodies.
Yes, because it is a voluntary survey that only interested students took.
No, Poole should have asked the culinary class since have more experience with food.
A beverage company wants to see if people in the United States like their new logo. Which of the following would be the best selection for a sample.
2,000 middle school students
A selection of logo designers
A selection of shoppers from different states
All of the people in the United States
In what year did the RMS Titanic sink?
1926
1945
1912
1918
Q2: what is defined by the following: "how well a test measures what it is purported to measure"?
Accuracy
Precision
Reliability
Validity
True or False:
You want to see how many students take the bus home from school. You go to the bus stop and ask students how they get home everyday. This is a good, representation of the population.
True
False
Question 4
Purple Ammo
Special Ammo
Medium Ammo
Nitro Ammo
The only number that has the same number of letters as its meaning
4
2
5
0
Limpets were found in 25 out of 50 quadrats. What is coverage percentage of limpets?
50%
25%
75%
100%
Based on the results of this survey, which elective was least popular and should be canceled?
Spanish
Theater
Art
A researcher selected a sample of 𝑛 = 120 from a population of 850 by
using the Table of Random Numbers
Simple Random
Systematic
Stratified
Cluster
Jeanne pulled a marble out of a bag at random, recorded the color, and placed the marble back into the bag three times. The results are shown below.
• 2 blue • 1 red
She concluded that the bag contained exactly 4 blue marbles and 2 red marbles. To verify her conclusion, she then pulled an additional 15 marbles out of a bag using the same procedure. The results for all are shown below.
• 5 blue • 7 white • 6 red
Which best explains why Jeanne’s conclusion is incorrect?
She drew a blue marble first.
Her sample size was too small.
She drew more red than blue marbles.
Her method for selection should not have been random.
Ryan wants to find the favorite video game of the fifth grade boys at his school. Which group would be best for Ryan to survey?
25 fifth grade boys
25 fifth grade students
every teacher at his school
every boy who will pass to fifth grade next year
Ms. Jimerson asked students how much time they spent studying for their final exams. This dot plot shows the results.
Based on the dot plot, what is the approximate number of students that studied more than 2 hours if there are 450 students in the school?
225
158
135
64
Scientists want to estimate the cheetah population in an area.
They tagged and released 29 cheetahs.
Later, they found 120 cheetahs, 9 of which were tagged.
Based on this information, what is the approximate cheetah population in this area?
129
158
387
1,080
An amusement park employee was surveying people waiting in line to ride a roller coaster. Each person was asked whether waiting in line was worth their time. Which statement best explains why the significance of the survey results might be misinterpreted?
People could be waiting in the wrong line.
People could be waiting in line for a short period of time.
People waiting in line have already shown a willingness to wait.
People already waiting in line could simply be holding a place for friends.
A beverage company prints game pieces on the inside of bottle caps and claims that one in six wins a prize. Catherine bought six bottles and did not win. Which statement is the best explanation for why she did not win?
The company made an incorrect claim.
Catherine bought all the bottles at the same time.
Catherine did not buy them from different locations.
The company made the claim based on a large quantity of bottles.
Truck drivers in Miami were recently asked in a survey which type of car fuel they thought American drivers would be using in ten years. The results of this survey are shown in the table.
Which statement best describes why the results are biased?
The sample size used is too small.
The numbers are in descending order.
The order of the fuel types is not alphabetical.
The sample population is not representative of American drivers.
Bert’s new high school plans to choose school colors by the end of the month. Bert surveyed 100 band students for their color preferences in the chart.
Which statement best describes why Bert’s data is misleading?
The population sample is not identified by age.
It does not give the percentage for each color combination.
It does not identify the grade level of the students surveyed.
The entire school population is not represented in the survey.
A research group wants to know what types of car accessories drivers prefer. The research group will survey 1000 people. Which group would be BEST to use as a sample?
employees at a car repair shop
people who answered the phone
drivers who stopped for gas at a service station
high school students who just got their driver’s licenses
Lee read a report on a survey showing that 80% of the adult population in one southern state, enjoy hot weather. In summarizing the report to her class, Lee stated that a majority of adults in the United States enjoy hot weather. What did Lee overlook in this statement?
that only adults were included in the report
that 80% is not a majority of the group surveyed
that hot weather was not defined as a specific temperature range
that conducting a similar survey in other parts of the country may produce different results
A magazine company conducted a phone survey asking subscribers to identify the brand of outdoor camping equipment they like best. Every subscriber was surveyed, and the results were printed in an article entitled, “Most Popular Equipment Among All Campers.” Why is the title of the article misleading?
The survey only focused on camping equipment.
The magazine only surveyed its own subscribers.
The survey was conducted on the telephone.
The magazine asked for brands rather than types of equipment.
Mr. Carter’s math class wants to know the favorite spectator sport of the students at their high school. Listed are 4 sampling methods. Which sampling method would produce the most accurate results?
• Kenneth stands at the entrance to the football field and surveys each student as they enter the field for a football game.
• Lynn stands at the entrance to the school in the morning and surveys the first 20 students to arrive at school.
• Maleka uses a list of all students at the high school, chooses every tenth name, and then surveys that student.
• Tony surveys all the students in his classes.
Kenneth’s method
Lynn's method
Maleka’s method
Tony’s method
An ice-cream shop asked customers to vote for their favorite flavor of ice cream. This table shows the results.
Based on the table, which statement is true?
About one-half of the customers voted for vanilla.
More than 25% of the customers voted for vanilla.
Less than 20% of the customers voted for chocolate.
About one-third of the customers voted for strawberry.
Students were surveyed about the time they go to bed on school nights. This table shows the results.
Out of 400 students in the school, what is the best prediction for the number of students who go to bed after 10:00 p.m.?
5
17
30
66
A band director randomly surveyed 25 of his students about the number of minutes they practice each night. Of those surveyed, 5 students practice 60 minutes or more each night. There are 100 band students.
What is the best estimate of the number of band students that practice 60 minutes or more each night?
5
12
20
25
A bank has 432 employees. A survey was given to a random sample of employees that asked “What form of transportation do you normally use to get to work?”. This table shows their responses.
Based on this data, what is a reasonable estimate of the number of bank employees that ride the bus to work?
7
8
52
58
Thomas asked students what they planned to do during summer vacation. This table shows the students’ responses.
Which statement is true?
More than 25% of the students planned to visit family or visit a museum.
Less than 40% of the students planned to go to the beach.
More than 10% of the students planned to visit a museum.
Less than 25% of the students planned to stay home and relax.
In a school, 60 students were randomly chosen and were surveyed about their favorite subject. Of the 60 students, 24 students chose math as their favorite subject. Based on the survey results, about how many of the 350 total students at the school would be expected to choose math as their favorite subject?
40
84
140
314
A cafeteria in a mall wants to conduct a survey on a new addition to the menu. Which of these samples would provide the MOST representative survey of its current customers?
survey every 100th person who enters the mall
survey every 10th person leaving the cafeteria
survey every 5th child who enters the cafeteria
survey every 50th woman leaving the mall
A deli that just opened was giving out free mini sandwiches. A sample of 50 likely customers was surveyed about which sandwich they preferred. The people surveyed included 12 people who said they preferred the roast beef sandwich. Based on this information, how many of the first 150 sandwich orders should the deli predict will be for roast beef?
36
8
48
24
A (a) is a part of a group being surveyed.
A (a) is the entire group of objects or individuals considered for a survey.
A U.S. senator from Pennsylvania wants to find out the opinion of the voters in his state on issues concerning education. The office of the senator passes out surveys on ten street corners in the five major cities in the state of Pennsylvania. Is this random?
yes
no
Leslie surveyed the 9 youngest students in the elementary school. Is this sample of the students in the school likely to be representative of all the students in the school?
yes
no
A restaurant wants to know if their customers buy dessert when they eat out. As people leave the restaurant one evening, 20 people are surveyed at random. Eight people say they usually order dessert when they eat out. The restaurant concluded that most customers do not order dessert.
