Algebra 2 covers sampling in its statistics unit, where the question is whether a survey's results can be trusted for a whole population. You name the method from a description and say whether it is random, then name the bias in a flawed survey and explain where it comes from.
Also taught in Statistics, at its own level and with its own examples.
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Name the sampling method, and say whether it is random and why. A city puts a comment box in city hall and counts the opinions of residents who choose to fill out a card.
Name the sampling method, and say whether it is random and why. A sports league randomly chooses 7 of its 40 teams and surveys every player on those teams.
Name the sampling method, and say whether it is random and why. A website posts a poll that any visitor can answer.
Name the sampling method, and say whether it is random and why. A coach asks the players sitting on the bench whether practice runs too long.
Name the sampling method, and say whether it is random and why. A reporter asks the first 48 people leaving a gym whether they exercise regularly.
Name the sampling method, and say whether it is random and why. A club draws 8 membership numbers from a bowl holding every member's number.
Name the sampling method, and say whether it is random and why. A farmer randomly selects 20 corn plants from each of her four fields.
Name the sampling method, and say whether it is random and why. A researcher splits a town's adults into renters and homeowners, then randomly samples 50 people from each group.
Name the sampling method, and say whether it is random and why. A principal puts every student's name in a hat and draws 60.
Name the sampling method, and say whether it is random and why. An auditor uses a random number generator to pick 40 of a company's 2,500 receipts to check.
Name the bias
Name the bias and explain it. A survey asks, “Don't you agree that the unfair new tax should be repealed?”
Name the bias and explain it. A survey asks, “Do you agree that our town needs a safe, modern park instead of an ugly empty lot?”
Name the bias and explain it. A university randomly selects 300 students for an hour-long interview, and only 40 respond.
Name the bias and explain it. A college asks only students who live on campus about parking needs.
Name the bias and explain it. A poll on a school dress code questions only students in honors classes.
Name the bias and explain it. A streaming service rates a show by the stars that viewers choose to give it.
Name the bias and explain it. A survey about a new senior center is given only to people at a high school football game.
Name the bias and explain it. Teens are asked in front of their parents how often they break curfew.
Name the bias and explain it. A gym emails a survey to 200 randomly chosen members, and only 40 respond.
Name the bias and explain it. A school sends a parent survey home with 600 randomly chosen students, and only 90 families send it back.
Name the sampling method, and say whether it is random and why. A city puts a comment box in city hall and counts the opinions of residents who choose to fill out a card.Voluntary response sample; not random: people choose themselves
Name the sampling method, and say whether it is random and why. A sports league randomly chooses 7 of its 40 teams and surveys every player on those teams.Cluster sample; random: the groups are chosen at random
Name the sampling method, and say whether it is random and why. A website posts a poll that any visitor can answer.Voluntary response sample; not random: people choose themselves
Name the sampling method, and say whether it is random and why. A coach asks the players sitting on the bench whether practice runs too long.Convenience sample; not random: the sampler takes whoever is easiest to reach
Name the sampling method, and say whether it is random and why. A reporter asks the first 48 people leaving a gym whether they exercise regularly.Convenience sample; not random: the sampler takes whoever is easiest to reach
Name the sampling method, and say whether it is random and why. A club draws 8 membership numbers from a bowl holding every member's number.Simple random sample; random: chance alone picks the sample, and every group of that size is equally likely
Name the sampling method, and say whether it is random and why. A farmer randomly selects 20 corn plants from each of her four fields.Stratified random sample; random: members are chosen at random within each group
Name the sampling method, and say whether it is random and why. A researcher splits a town's adults into renters and homeowners, then randomly samples 50 people from each group.Stratified random sample; random: members are chosen at random within each group
Name the sampling method, and say whether it is random and why. A principal puts every student's name in a hat and draws 60.Simple random sample; random: chance alone picks the sample, and every group of that size is equally likely
Name the sampling method, and say whether it is random and why. An auditor uses a random number generator to pick 40 of a company's 2,500 receipts to check.Simple random sample; random: chance alone picks the sample, and every group of that size is equally likely
Name the bias
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
Name the bias and explain it. A survey asks, “Do you agree that our town needs a safe, modern park instead of an ugly empty lot?”Response bias: the question is worded to lead
Name the bias and explain it. A university randomly selects 300 students for an hour-long interview, and only 40 respond.Nonresponse bias: most of the sample did not respond, and those who do not respond may differ from those who do
Name the bias and explain it. A college asks only students who live on campus about parking needs.Undercoverage: students who commute are left out
Name the bias and explain it. A poll on a school dress code questions only students in honors classes.Undercoverage: students not in honors classes are left out
Name the bias and explain it. A streaming service rates a show by the stars that viewers choose to give it.Voluntary response bias: people with strong opinions answer
Name the bias and explain it. A survey about a new senior center is given only to people at a high school football game.Undercoverage: most older residents are left out
Name the bias and explain it. Teens are asked in front of their parents how often they break curfew.Response bias: people do not answer honestly
Name the bias and explain it. A gym emails a survey to 200 randomly chosen members, and only 40 respond.Nonresponse bias: most of the sample did not respond, and those who do not respond may differ from those who do
Name the bias and explain it. A school sends a parent survey home with 600 randomly chosen students, and only 90 families send it back.Nonresponse bias: most of the sample did not respond, and those who do not respond may differ from those who do
A radio host asks listeners to call in with their views on a new tax. Name the bias.
Only people who choose to call are counted.
People with strong opinions, usually against, are the most likely to call.
The answer is Voluntary response bias: people with strong opinions answer.
Where students go wrong
Thinking a large sample removes bias. A call-in poll with 10,000 answers is still made only of people who chose to respond, so a bigger sample repeats the same slant.
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 apartment company randomly chooses 5 of its 21 buildings and surveys every tenant in those buildings.→ Cluster sample
Name the bias
Name the bias. A coach asks players, in front of the whole team, whether they skipped any workouts.→ Response bias
Questions about these worksheets
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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.