Worksheets · Algebra 2

Algebra 2 sampling methods and bias worksheet

A stratified sample takes some from every group; a cluster sample takes every member of a few groups. Convenience and voluntary response samples are not random at all, which is where most bias starts.

Select your difficulty

Pick more than one for a sheet that mixes them.

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Name

Sampling Methods and Bias

Date Period

Answer each question.

  1. Name the sampling method. A student surveys the friends sitting at her lunch table.
  2. Name the bias and explain it. A survey about school lunch is handed only to students in the lunch line.
  3. Name the sampling method. An airline randomly picks 10 flights and surveys every passenger on those flights.
  4. Name the bias and explain it. A company mails a survey to 500 customers and 40 send it back.
  5. Name the sampling method. A club draws 12 membership numbers from a bowl holding every member's number.
  6. Name the bias and explain it. A survey asks, "Don't you agree that the unfair new tax should be repealed?"
  7. Name the sampling method. A gym randomly selects 25 members from each age group.
  8. Name the bias and explain it. Of 1,000 people mailed a survey, only 90 send it back.
  9. Name the sampling method. A teacher uses a random number generator to choose 5 of the 30 students in her class.
  10. Name the bias and explain it. An online poll about internet speed is answered only by people who choose to click on it.
  11. Name the sampling method. A company randomly selects 20 employees from each of its five departments.
  12. Name the bias and explain it. A phone survey reaches only landlines, and many young adults have only cell phones.
  13. Name the sampling method. A store surveys every 10th customer who walks in, starting with a randomly chosen one of the first 10.
  14. Name the bias and explain it. Students are asked in front of their teacher whether they have ever cheated.
  15. Name the sampling method. A district randomly chooses 5 of its 40 schools and surveys every teacher in those schools.
  16. Name the bias and explain it. A survey on public transit is given only to people waiting at a train station.
  17. Name the sampling method. A city randomly chooses 8 of its 60 neighborhoods and surveys every household in those 8.
  18. Name the bias and explain it. A magazine asks readers who choose to write in to share their views on a new law.
  19. Name the sampling method. A reporter asks the first 40 people leaving a gym whether they exercise regularly.
  20. Name the bias and explain it. A survey asks, "Do you agree that our wonderful mayor deserves a raise?"

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Sampling Methods and BiasAnswer keyVersion 1

Date Period

Answer each question.

  1. Name the sampling method. A student surveys the friends sitting at her lunch table.Convenience sample
  2. Name the bias and explain it. A survey about school lunch is handed only to students in the lunch line.Undercoverage: students who skip lunch are left out
  3. Name the sampling method. An airline randomly picks 10 flights and surveys every passenger on those flights.Cluster sample
  4. Name the bias and explain it. A company mails a survey to 500 customers and 40 send it back.Nonresponse bias: most of the sample did not answer
  5. Name the sampling method. A club draws 12 membership numbers from a bowl holding every member's number.Simple random sample
  6. Name the bias and explain it. A survey asks, "Don't you agree that the unfair new tax should be repealed?"Response bias: the question is worded to lead
  7. Name the sampling method. A gym randomly selects 25 members from each age group.Stratified random sample
  8. Name the bias and explain it. Of 1,000 people mailed a survey, only 90 send it back.Nonresponse bias: most of the sample did not answer
  9. Name the sampling method. A teacher uses a random number generator to choose 5 of the 30 students in her class.Simple random sample
  10. Name the bias and explain it. An online poll about internet speed is answered only by people who choose to click on it.Voluntary response bias: people with strong opinions answer
  11. Name the sampling method. A company randomly selects 20 employees from each of its five departments.Stratified random sample
  12. Name the bias and explain it. A phone survey reaches only landlines, and many young adults have only cell phones.Undercoverage: people without landlines are left out
  13. Name the sampling method. A store surveys every 10th customer who walks in, starting with a randomly chosen one of the first 10.Systematic sample
  14. Name the bias and explain it. Students are asked in front of their teacher whether they have ever cheated.Response bias: people do not answer honestly
  15. Name the sampling method. A district randomly chooses 5 of its 40 schools and surveys every teacher in those schools.Cluster sample
  16. Name the bias and explain it. A survey on public transit is given only to people waiting at a train station.Undercoverage: people who do not ride the train are left out
  17. Name the sampling method. A city randomly chooses 8 of its 60 neighborhoods and surveys every household in those 8.Cluster sample
  18. Name the bias and explain it. A magazine asks readers who choose to write in to share their views on a new law.Voluntary response bias: people with strong opinions answer
  19. Name the sampling method. A reporter asks the first 40 people leaving a gym whether they exercise regularly.Convenience sample
  20. Name the bias and explain it. A survey asks, "Do you agree that our wonderful mayor deserves a raise?"Response bias: the question is worded to lead

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

A city randomly chooses 8 of its 60 neighborhoods and surveys every household in those 8.

  1. The city picks whole groups at random.
  2. Then it surveys everyone inside the groups it picked.

The answer is Cluster sample.

Where students go wrong

Mixing up stratified and cluster. Stratified: a few from every group. Cluster: all from a few groups.

Also called types of sampling, stratified vs cluster, sampling bias or survey bias.

What you can put on this worksheet

Name the sampling method
Name the sampling method. An airline randomly picks 10 flights and surveys every passenger on those flights. → Cluster sample
Name the bias
Name the bias and explain it. Students are asked in front of their teacher whether they have ever cheated. → Response bias: people do not answer honestly

Questions about these worksheets

Yes. Every sampling methods and bias sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 2 is usually taken around 10th or 11th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the sampling methods and bias questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 2: name the sampling method and name the bias. Tick as many as you want and set how many of each, or let it spread them evenly.

Mixing up stratified and cluster. Stratified: a few from every group. Cluster: all from a few groups.