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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 data set has a mean of 12. Which statement describes the mean?

Please select an answer first.

Correct answer: A

The correct answer is The values have a balance point of 12..

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: The mean is the total divided by the number of values and can be viewed as a balance point.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The mean is the total divided by the number of values and can be viewed as a balance point.

2. QuestionMultiple choice

Which data set is most tightly clustered?

Please select an answer first.

Correct answer: B

The correct answer is 9,10,10,119, 10, 10, 11.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: The values in 9,10,10,119, 10, 10, 11 are close together, so that set has the least spread.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The values in 9,10,10,119, 10, 10, 11 are close together, so that set has the least spread.

3. QuestionMultiple choice

Which value is an outlier in 4, 5, 5, 6, 7, and 25?

Please select an answer first.

Correct answer: C

The correct answer is 2525.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: 2525 is far from the cluster near 44 through 77, so it is an outlier.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

2525 is far from the cluster near 44 through 77, so it is an outlier.

4. QuestionMultiple choice

Two classes have the same mean score. Class A has a smaller range than Class B. What does this show?

Please select an answer first.

Correct answer: D

The correct answer is Class A scores are less spread out..

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: A smaller range means the values are closer together, so Class A has less spread.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

A smaller range means the values are closer together, so Class A has less spread.

5. QuestionMultiple choice

A distribution has most values near 20 and a few values near 40. Where is the main cluster?

Please select an answer first.

Correct answer: A

The correct answer is Near 20.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: A cluster is a group of values close together. Most of the values are near 2020.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

A cluster is a group of values close together. Most of the values are near 2020.

6. QuestionMultiple choice

Which data set has the greatest range?

Please select an answer first.

Correct answer: B

The correct answer is 3,8,15,203, 8, 15, 20.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: The first set has range 20−3=1720 - 3 = 17, which is greater than the other ranges.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The first set has range 20−3=1720 - 3 = 17, which is greater than the other ranges.

7. QuestionMultiple choice

If every value in a data set increases by 3, what happens to the mean?

Please select an answer first.

Correct answer: C

The correct answer is The mean increases by 3..

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: Adding the same number to every value adds that number to the mean, so the mean increases by 33.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

Adding the same number to every value adds that number to the mean, so the mean increases by 33.

8. QuestionMultiple choice

Which statement about a data set with range 0 is true?

Please select an answer first.

Correct answer: D

The correct answer is All values are equal..

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: A range of 00 means the maximum and minimum are equal; therefore all values are equal.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

A range of 00 means the maximum and minimum are equal; therefore all values are equal.

9. QuestionMultiple choice

A set of quiz scores is 8, 9, 9, 10, and 10. Which description is best?

Please select an answer first.

Correct answer: A

The correct answer is The scores are tightly clustered near 9 and 10..

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: The values run only from 88 to 1010, so they are tightly clustered near those values.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The values run only from 88 to 1010, so they are tightly clustered near those values.

10. QuestionMultiple choice

Why can an outlier affect the mean more than the median?

Please select an answer first.

Correct answer: B

The correct answer is The mean uses every value in the calculation, while the median depends on position..

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: An extreme value changes the total used by the mean, but the median is determined by the ordered position.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

An extreme value changes the total used by the mean, but the median is determined by the ordered position.

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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.