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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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1. Test

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 has 1,200 students. A survey asks 100 students about school lunch. What is the population?

Please select an answer first.

Correct answer: A

The correct answer is All 1,200 students at the school.

  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 population is the entire group the study is intended to describe: all 1,200 students.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The population is the entire group the study is intended to describe: all 1,200 students.

2. QuestionMultiple choice

Which sample is most likely to represent all students in a school?

Please select an answer first.

Correct answer: B

The correct answer is A random sample that includes students from every grade.

  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 sample that includes every grade gives students a fair chance to be selected and reflects the school population.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

A random sample that includes every grade gives students a fair chance to be selected and reflects the school population.

3. QuestionMultiple choice

A researcher records the number of books read by 80 randomly selected students. What is the sample?

Please select an answer first.

Correct answer: C

The correct answer is The 80 randomly selected students.

  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 sample is the group from which data were actually collected: the 80 selected students.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The sample is the group from which data were actually collected: the 80 selected students.

4. QuestionMultiple choice

A survey finds that 42% of a random sample of voters support a proposal. What is the statistic?

Please select an answer first.

Correct answer: D

The correct answer is 4242%.

  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 statistic is a numerical summary calculated from a sample. Here it is the sample percentage, 4242%.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

A statistic is a numerical summary calculated from a sample. Here it is the sample percentage, 4242%.

5. QuestionMultiple choice

A city randomly selects every 10th household after choosing a random starting point. Which sampling method is this?

Please select an answer first.

Correct answer: A

The correct answer is Systematic 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: Selecting every 10th household after a random start is systematic sampling.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

Selecting every 10th household after a random start is systematic sampling.

6. QuestionMultiple choice

A school wants to estimate the average homework time for all students. Which group is the sample?

Please select an answer first.

Correct answer: B

The correct answer is A randomly selected group of students whose homework time is measured.

  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 sample is the randomly selected group whose data are collected to estimate the larger population.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The sample is the randomly selected group whose data are collected to estimate the larger population.

7. QuestionMultiple choice

A survey of 150 randomly selected residents estimates that 64% of all residents support a park. What is the population?

Please select an answer first.

Correct answer: C

The correct answer is All residents of the city.

  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 population is the full group to which the result is generalized: all city residents.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The population is the full group to which the result is generalized: all city residents.

8. QuestionMultiple choice

Why is a random sample useful when making an inference about a population?

Please select an answer first.

Correct answer: D

The correct answer is It helps give each member of the population a fair chance of selection.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: Random selection reduces systematic selection bias by giving population members a fair chance of being included.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

Random selection reduces systematic selection bias by giving population members a fair chance of being included.

9. QuestionMultiple choice

A sample contains 30 students from a school with 600 students. What fraction of the school is in the sample?

Please select an answer first.

Correct answer: A

The correct answer is rac120rac{1}{20}.

  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 fraction is rac{30}{600}= rac{1}{20}.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The fraction is rac{30}{600}= rac{1}{20}.

10. QuestionMultiple choice

A well-designed random sample of 500 customers reports that 72% are satisfied. What is the most reasonable inference?

Please select an answer first.

Correct answer: B

The correct answer is About 72% of all customers are satisfied.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: Because the sample is random and well designed, its percentage can be used to estimate the percentage for all customers.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

Because the sample is random and well designed, its percentage can be used to estimate the percentage for all customers.

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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.