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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 population has 2,0002{,}000 students. A random sample of 100100 finds that 4545% prefer option A. About how many students in the population may prefer option A?

Please select an answer first.

Correct answer: A

The correct answer is 900900.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: Apply the sample proportion to the population: 0.45cdot2,000=9000.45cdot2{,}000=900.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

Apply the sample proportion to the population: 0.45cdot2,000=9000.45cdot2{,}000=900.

2. QuestionMultiple choice

A researcher repeatedly takes random samples of the same size from one population. What should happen to the sample means?

Please select an answer first.

Correct answer: B

The correct answer is They may differ somewhat from sample to sample.

  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 samples vary, so their statistics may differ even when they come from the same population.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

Random samples vary, so their statistics may differ even when they come from the same population.

3. QuestionMultiple choice

Which sample is most likely to give a reliable estimate of the average screen time for all students?

Please select an answer first.

Correct answer: C

The correct answer is A large random sample drawn from the entire student population.

  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 large random sample from the full population reduces selection bias and gives more stable estimates.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

A large random sample from the full population reduces selection bias and gives more stable estimates.

4. QuestionMultiple choice

A survey asks, “How many hours did you study yesterday?” What type of data is collected?

Please select an answer first.

Correct answer: D

The correct answer is Numerical quantitative data.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: Study hours are numerical measurements, so they are quantitative data.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

Study hours are numerical measurements, so they are quantitative data.

5. QuestionMultiple choice

A random sample of 250250 shoppers has a mean wait time of 6.46.4 minutes. What does 6.46.4 represent?

Please select an answer first.

Correct answer: A

The correct answer is A statistic describing the sample.

  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 mean calculated from the sample is a statistic and estimates the population mean.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The mean calculated from the sample is a statistic and estimates the population mean.

6. QuestionMultiple choice

A sample has values 5,5,6,8,165, 5, 6, 8, 16. Which value has the greatest effect on the mean compared with the median?

Please select an answer first.

Correct answer: B

The correct answer is 1616.

  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 unusually large value 1616 pulls the mean upward, while the median is more resistant.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The unusually large value 1616 pulls the mean upward, while the median is more resistant.

7. QuestionMultiple choice

A survey estimate changes from 4141% to 4444% when the sample size increases. What is a reasonable explanation?

Please select an answer first.

Correct answer: C

The correct answer is The larger sample may have produced a different statistic because samples vary.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: Sample statistics can change when a new sample is collected; the difference does not prove the population changed.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

Sample statistics can change when a new sample is collected; the difference does not prove the population changed.

8. QuestionMultiple choice

Which statement about a sample statistic is true?

Please select an answer first.

Correct answer: D

The correct answer is It can be used to estimate a population parameter when the sample is representative.

  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 representative sample statistic provides information about the corresponding population parameter.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

A representative sample statistic provides information about the corresponding population parameter.

9. QuestionMultiple choice

A district wants to estimate the percentage of students who read for fun. Which question is best?

Please select an answer first.

Correct answer: A

The correct answer is How many days last week did you read for fun outside of 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 neutral question asks for measurable information without suggesting a preferred answer.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The neutral question asks for measurable information without suggesting a preferred answer.

10. QuestionMultiple choice

Which conclusion is supported by a random sample but not justified by a convenience sample?

Please select an answer first.

Correct answer: B

The correct answer is The sample percentage can reasonably estimate the percentage for the whole population.

  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 supports generalization, while a convenience sample may not represent the population.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

Random selection supports generalization, while a convenience sample may not represent the population.

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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.