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Grade 7 Math · Sampling and Statistical Inference

Grade 7 Sampling and Statistical Inference Practice Test

Build Grade 7 Math skills with five 10-question practice tests on populations, samples, sampling methods, bias, data summaries, variability, and statistical inferences.

Sampling and Statistical Inference Practice Tests

These Grade 7 Math practice tests help students use samples to learn about larger populations. Students identify populations and samples, compare sampling methods, recognize bias, summarize data, and make reasonable inferences.

Skills covered

  • Identifying populations, samples, statistics, and parameters
  • Recognizing simple random, systematic, stratified, and cluster samples
  • Identifying undercoverage, nonresponse, voluntary response, and wording bias
  • Calculating and interpreting mean, median, mode, range, and interquartile range
  • Understanding sampling variability and using sample proportions to estimate populations
  • Making conclusions that are supported by representative samples

How to use these practice tests

A population is the full group a study is about, while a sample is the smaller group from which data are collected. A representative random sample can be used to estimate a population, but sample statistics may vary from one sample to another. Check the sampling method and the data summary before making an inference.

For more Grade 7 Math practice, return to the Grade 7 Math category.

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Grade 7 Sampling and Statistical Inference Practice Tests

A 10-question Grade 7 Math practice test on populations, samples, sampling methods, bias, statistics, variability, and making inferences from data.

Identify the population and sample, recognize bias, calculate or interpret data summaries, and make conclusions supported by representative samples.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

A school surveys only students in the honors club about homework. What problem is most likely?

Please select an answer first.

Correct answer: A

The correct answer is The sample may underrepresent students who are not in the honors club.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: The honors club may have different homework habits, so students outside the club are underrepresented.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The honors club may have different homework habits, so students outside the club are underrepresented.

2. QuestionMultiple choice

A website asks visitors to click a button if they support a new rule. Which bias is most likely?

Please select an answer first.

Correct answer: B

The correct answer is Voluntary response bias.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: People choose whether to respond, so those with strong opinions may be more likely to participate.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

People choose whether to respond, so those with strong opinions may be more likely to participate.

3. QuestionMultiple choice

Which question is most likely to produce wording bias?

Please select an answer first.

Correct answer: C

The correct answer is You agree that our excellent new policy should continue, right?.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: The phrase “excellent new policy” pushes respondents toward a particular answer, creating wording bias.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The phrase “excellent new policy” pushes respondents toward a particular answer, creating wording bias.

4. QuestionMultiple choice

A random sample is selected, but 40% of the selected people do not answer. What concern does this create?

Please select an answer first.

Correct answer: D

The correct answer is Nonresponse bias.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: If people who do not respond differ from those who do, the results may be affected by nonresponse bias.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

If people who do not respond differ from those who do, the results may be affected by nonresponse bias.

5. QuestionMultiple choice

A town divides residents into age groups and randomly selects residents from each group. Which method is used?

Please select an answer first.

Correct answer: A

The correct answer is Stratified sampling.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: The age groups are strata, and random samples are taken from each stratum.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The age groups are strata, and random samples are taken from each stratum.

6. QuestionMultiple choice

A district randomly chooses 4 entire classrooms and surveys every student in those classrooms. Which method is this?

Please select an answer first.

Correct answer: B

The correct answer is Cluster sampling.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: Each classroom is a cluster, and the selected clusters are surveyed in full.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

Each classroom is a cluster, and the selected clusters are surveyed in full.

7. QuestionMultiple choice

A coach asks the first five players nearby to predict the team's practice attendance. Why may this be biased?

Please select an answer first.

Correct answer: C

The correct answer is The nearby players may not represent the entire team.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: The first nearby players form a convenience sample and may have different attendance patterns from the rest of the team.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The first nearby players form a convenience sample and may have different attendance patterns from the rest of the team.

8. QuestionMultiple choice

Which change would best reduce bias in a survey about bus service?

Please select an answer first.

Correct answer: D

The correct answer is Use neutral wording and randomly select riders from different routes and times.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: Neutral wording and random selection across routes and times reduce wording and selection bias.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

Neutral wording and random selection across routes and times reduce wording and selection bias.

9. QuestionMultiple choice

A company emails a survey to all customers, but many customers never open the email. Which issue may affect the results?

Please select an answer first.

Correct answer: A

The correct answer is Undercoverage or nonresponse.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: Customers who do not receive, open, or answer the survey may be missing or underrepresented.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

Customers who do not receive, open, or answer the survey may be missing or underrepresented.

10. QuestionMultiple choice

Which plan gives the strongest evidence about the favorite subject of all students in a school?

Please select an answer first.

Correct answer: B

The correct answer is Randomly select students from every grade and ask the same neutral question.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: A random, grade-balanced sample with neutral wording is more representative and less biased.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

A random, grade-balanced sample with neutral wording is more representative and less biased.

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Frequently asked questions about Grade 7 Sampling and Statistical Inference

What is the difference between a population and a sample?

A population is the complete group being studied. A sample is a smaller group selected from that population to provide data.

Why does a random sample help with inference?

Random selection gives population members a fair chance of being included and makes the sample more likely to represent the population.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 7 Sampling and Statistical Inference questions in total.