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.

3. 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

Find the mean of the data set 4,6,8,10,124, 6, 8, 10, 12.

Please select an answer first.

Correct answer: A

The correct answer is 88.

  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 sum is 4040, and 40div5=840div5=8.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The sum is 4040, and 40div5=840div5=8.

2. QuestionMultiple choice

Find the median of 3,5,7,9,11,143, 5, 7, 9, 11, 14.

Please select an answer first.

Correct answer: B

The correct answer is 88.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: There are six values, so the median is the mean of the middle two: (7+9)div2=8(7+9)div2=8.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

There are six values, so the median is the mean of the middle two: (7+9)div2=8(7+9)div2=8.

3. QuestionMultiple choice

What is the mode of 2,4,4,5,6,6,6,82, 4, 4, 5, 6, 6, 6, 8.

Please select an answer first.

Correct answer: C

The correct answer is 66.

  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 mode is the value that occurs most often. The value 66 appears three times.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The mode is the value that occurs most often. The value 66 appears three times.

4. QuestionMultiple choice

What is the range of 15,9,12,20,1115, 9, 12, 20, 11.

Please select an answer first.

Correct answer: D

The correct answer is 1111.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: Range equals the maximum minus the minimum: 20−9=1120-9=11.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

Range equals the maximum minus the minimum: 20−9=1120-9=11.

5. QuestionMultiple choice

Find the interquartile range of 2,4,5,7,8,10,12,152, 4, 5, 7, 8, 10, 12, 15.

Please select an answer first.

Correct answer: A

The correct answer is 6.56.5.

  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 lower half has median 4.54.5 and the upper half has median 1111; the IQR is 11−4.5=6.511-4.5=6.5.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The lower half has median 4.54.5 and the upper half has median 1111; the IQR is 11−4.5=6.511-4.5=6.5.

6. QuestionMultiple choice

Which measure is usually most affected by one very large outlier?

Please select an answer first.

Correct answer: B

The correct answer is The mean.

  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 uses every value in the calculation, so an extreme value can pull it toward the outlier.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The mean uses every value in the calculation, so an extreme value can pull it toward the outlier.

7. QuestionMultiple choice

The mean of five numbers is 1212. What is their total?

Please select an answer first.

Correct answer: C

The correct answer is 6060.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: Mean equals total divided by number of values, so total equals 12cdot5=6012cdot5=60.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

Mean equals total divided by number of values, so total equals 12cdot5=6012cdot5=60.

8. QuestionMultiple choice

A data set has median 1818. What does this mean?

Please select an answer first.

Correct answer: D

The correct answer is About half the data values are at or below 18 and about half are at or above 18.

  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 median is the middle of an ordered data set, so it divides the data into two halves.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The median is the middle of an ordered data set, so it divides the data into two halves.

9. QuestionMultiple choice

Which summary is generally best for a strongly skewed data set with an extreme outlier?

Please select an answer first.

Correct answer: A

The correct answer is The median and interquartile range.

  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 median and IQR are resistant to extreme values and better describe a strongly skewed distribution.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

The median and IQR are resistant to extreme values and better describe a strongly skewed distribution.

10. QuestionMultiple choice

The five quiz scores are 70,75,80,85,9070, 75, 80, 85, 90. If every score increases by 5, what happens to the mean?

Please select an answer first.

Correct answer: B

The correct answer is The mean increases by 5.

  1. Identify the population and sample: Determine who or what the study is about and which observations were actually collected.
  2. Analyze the data: Adding 5 to every data value adds 5 to the mean as well.
  3. Check the inference: Make sure the conclusion is supported by a representative sample and by the summary being used.

Adding 5 to every data value adds 5 to the mean as well.

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.