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Grade 6 Math · Statistics and Data Distributions

Grade 6 Statistics and Data Distributions Practice Test

Build Grade 6 Math skills with five 10-question practice tests on data displays, center, spread, distributions, line plots, samples, and evidence-based interpretation.

Statistics and Data Distributions Practice Tests

These Grade 6 Math practice tests help students read and interpret data displays, calculate mean, median, mode, and range, describe clusters and spread, analyze line plots with fractional values, and use samples to support conclusions.

Skills covered

  • Reading tables, charts, bar graphs, and line plots
  • Finding mean, median, mode, and range
  • Comparing center and spread in data distributions
  • Identifying clusters, outliers, frequency, and variation
  • Adding and interpreting fractional measurements on line plots
  • Understanding populations, samples, and representative data
  • Choosing appropriate graphs and recognizing misleading scales

How to use these practice tests

Read every label and scale before calculating. Order values when finding a median, use the total divided by the number of values for a mean, identify repeated values for a mode, and subtract the minimum from the maximum for a range. Use patterns and spread to support conclusions about the distribution.

For more Grade 6 Math practice, return to the Grade 6 Math category.

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Grade 6 Statistics and Data Distributions Practice Tests

A 10-question Grade 6 Math practice test on data displays, mean, median, mode, range, line plots, distributions, samples, and data interpretation.

Read the data display carefully, calculate the requested statistic, compare center and spread, and support conclusions with evidence from the data.

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

A survey asks every student in one class which lunch they prefer. What group is the population for this survey?

Please select an answer first.

Correct answer: A

The correct answer is Every student in that class.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: The population is the entire group being studied: every student in that class.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The population is the entire group being studied: every student in that class.

2. QuestionMultiple choice

Which graph is usually best for comparing the frequencies of categories such as favorite sports?

Please select an answer first.

Correct answer: B

The correct answer is Bar graph.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: A bar graph makes category frequencies easy to compare.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

A bar graph makes category frequencies easy to compare.

3. QuestionMultiple choice

A survey of 20 students finds that 12 prefer reading and 8 prefer drawing. What fraction prefer reading?

Please select an answer first.

Correct answer: C

The correct answer is 3/53/5.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: The fraction is 12/2012/20. Simplify by dividing by 44 to get 3/53/5.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The fraction is 12/2012/20. Simplify by dividing by 44 to get 3/53/5.

4. QuestionMultiple choice

A graph axis begins at 90 instead of 0, making a small difference look very large. What is the concern?

Please select an answer first.

Correct answer: D

The correct answer is The graph may be misleading..

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: An axis that does not begin at zero can exaggerate visual differences and mislead the reader.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

An axis that does not begin at zero can exaggerate visual differences and mislead the reader.

5. QuestionMultiple choice

A data set has mean 14 and median 14. Which statement is certain?

Please select an answer first.

Correct answer: A

The correct answer is Both statistics have value 14..

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: The given information tells us that the mean and median are each 1414; it does not determine every individual value.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The given information tells us that the mean and median are each 1414; it does not determine every individual value.

6. QuestionMultiple choice

A student wants to show how a plant height changes each week. Which display is most appropriate?

Please select an answer first.

Correct answer: B

The correct answer is Line graph.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: A line graph shows change over an ordered time interval such as weeks.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

A line graph shows change over an ordered time interval such as weeks.

7. QuestionMultiple choice

A data set is 6, 7, 7, 8, and 12. What is the mean?

Please select an answer first.

Correct answer: C

The correct answer is 88.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: The sum is 4040. Divide by 55: 40÷5=840 \div 5 = 8.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The sum is 4040. Divide by 55: 40÷5=840 \div 5 = 8.

8. QuestionMultiple choice

A sample is selected fairly from a school. What can the sample help estimate?

Please select an answer first.

Correct answer: D

The correct answer is A characteristic of the whole school.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: A representative sample can help estimate a characteristic of the larger population, though it may not match it perfectly.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

A representative sample can help estimate a characteristic of the larger population, though it may not match it perfectly.

9. QuestionMultiple choice

Which statistic is usually more resistant to one extremely high value?

Please select an answer first.

Correct answer: A

The correct answer is Median.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: The median depends on order and position, so one extreme value usually affects it less than the mean.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The median depends on order and position, so one extreme value usually affects it less than the mean.

10. QuestionMultiple choice

Which summary best describes Grade 6 Statistics and Data Distributions?

Please select an answer first.

Correct answer: B

The correct answer is Data displays and statistics help describe center, spread, frequency, and patterns so conclusions can be supported by evidence..

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: A strong summary connects displays, mean, median, mode, range, distributions, samples, and evidence-based conclusions.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

A strong summary connects displays, mean, median, mode, range, distributions, samples, and evidence-based conclusions.

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Frequently asked questions about Grade 6 Statistics and Data Distributions

What topics are covered?

The page covers data displays, mean, median, mode, range, frequency, clusters, outliers, line plots, samples, populations, graph choice, and data interpretation.

How do I find the mean, median, mode, and range?

Find the mean by adding and dividing by the number of values, the median by locating the middle after ordering, the mode by identifying the most frequent value, and the range by subtracting the minimum from the maximum.

How many questions are on this page?

The page includes five mini tests with 10 questions each, for 50 Grade 6 Statistics and Data Distributions questions in total.