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.

2. Test

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

What is the mean of 4, 6, and 8?

Please select an answer first.

Correct answer: A

The correct answer is 66.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: Add the values and divide by 3: (4+6+8)÷3=18÷3=6(4 + 6 + 8) \div 3 = 18 \div 3 = 6.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

Add the values and divide by 3: (4+6+8)÷3=18÷3=6(4 + 6 + 8) \div 3 = 18 \div 3 = 6.

2. QuestionMultiple choice

What is the median of 3, 5, 7, 9, and 11?

Please select an answer first.

Correct answer: B

The correct answer is 77.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: The values are already ordered, and the middle value is 77.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The values are already ordered, and the middle value is 77.

3. QuestionMultiple choice

What is the mode of 2, 4, 4, 5, and 6?

Please select an answer first.

Correct answer: C

The correct answer is 44.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: 44 occurs twice; every other value occurs once, so the mode is 44.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

44 occurs twice; every other value occurs once, so the mode is 44.

4. QuestionMultiple choice

What is the range of 3, 7, 10, and 12?

Please select an answer first.

Correct answer: D

The correct answer is 99.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: Subtract the least value from the greatest: 12−3=912 - 3 = 9.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

Subtract the least value from the greatest: 12−3=912 - 3 = 9.

5. QuestionMultiple choice

What is the mean of 5, 7, 9, and 11?

Please select an answer first.

Correct answer: A

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 3232. Divide by 4: 32÷4=832 \div 4 = 8.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The sum is 3232. Divide by 4: 32÷4=832 \div 4 = 8.

6. QuestionMultiple choice

What is the median of 4, 8, 10, and 14?

Please select an answer first.

Correct answer: B

The correct answer is 99.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: With an even number of values, average the two middle values: (8+10)÷2=9(8 + 10) \div 2 = 9.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

With an even number of values, average the two middle values: (8+10)÷2=9(8 + 10) \div 2 = 9.

7. QuestionMultiple choice

Which data set has no mode?

Please select an answer first.

Correct answer: C

The correct answer is 2,4,6,82, 4, 6, 8.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: In 2,4,6,82, 4, 6, 8, every value occurs once, so there is no mode.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

In 2,4,6,82, 4, 6, 8, every value occurs once, so there is no mode.

8. QuestionMultiple choice

What is the range of 18, 21, 25, and 30?

Please select an answer first.

Correct answer: D

The correct answer is 1212.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: Subtract the minimum from the maximum: 30−18=1230 - 18 = 12.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

Subtract the minimum from the maximum: 30−18=1230 - 18 = 12.

9. QuestionMultiple choice

The mean of 6, 8, and a third number is 10. What is the third number?

Please select an answer first.

Correct answer: A

The correct answer is 1616.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: The total must be 3×10=303 \times 10 = 30. The missing value is 30−6−8=1630 - 6 - 8 = 16.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The total must be 3×10=303 \times 10 = 30. The missing value is 30−6−8=1630 - 6 - 8 = 16.

10. QuestionMultiple choice

Which statistic describes the middle value of an ordered data set?

Please select an answer first.

Correct answer: B

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 is the middle value after the data are ordered.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The median is the middle value after the data are ordered.

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.