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.

4. 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

A line plot records lengths of ribbon at 1, 2, 2, 3, and 4 inches. How many ribbons were measured?

Please select an answer first.

Correct answer: A

The correct answer is 55.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: Count the marks or entries: there are 55 ribbons.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

Count the marks or entries: there are 55 ribbons.

2. QuestionMultiple choice

A line plot shows 2 marks at 1/2 inch, 3 marks at 1 inch, and 1 mark at 1 1/2 inches. Which length occurs most often?

Please select an answer first.

Correct answer: B

The correct answer is 11 inch.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: The value 11 has 33 marks, the largest frequency.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The value 11 has 33 marks, the largest frequency.

3. QuestionMultiple choice

What is the total length of 1/2 inch, 1 inch, and 1 1/2 inches?

Please select an answer first.

Correct answer: C

The correct answer is 33 inches.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: Add the lengths: 1/2+1+11/2=31/2 + 1 + 1 1/2 = 3 inches.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

Add the lengths: 1/2+1+11/2=31/2 + 1 + 1 1/2 = 3 inches.

4. QuestionMultiple choice

A line plot has a least value of 2 1/4 inches and a greatest value of 5 1/4 inches. What is the range?

Please select an answer first.

Correct answer: D

The correct answer is 33 inches.

  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: 51/4−21/4=35 1/4 - 2 1/4 = 3 inches.
  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: 51/4−21/4=35 1/4 - 2 1/4 = 3 inches.

5. QuestionMultiple choice

A line plot shows 4 marks at 3/4 mile. What does the 4 represent?

Please select an answer first.

Correct answer: A

The correct answer is The frequency of 3/4 mile..

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: The number of marks above a value is its frequency, so 44 is the frequency of 3/43/4 mile.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The number of marks above a value is its frequency, so 44 is the frequency of 3/43/4 mile.

6. QuestionMultiple choice

A line plot has values 1/4, 1/2, 3/4, and 1 inch. Which value is greatest?

Please select an answer first.

Correct answer: B

The correct answer is 11 inch.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: Among the listed values, 11 is greatest.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

Among the listed values, 11 is greatest.

7. QuestionMultiple choice

A line plot records 1/4, 1/4, 1/2, 3/4, and 3/4. What is the mode?

Please select an answer first.

Correct answer: C

The correct answer is 1/41/4 and 3/43/4.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: 1/41/4 and 3/43/4 each occur twice, so the data are bimodal.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

1/41/4 and 3/43/4 each occur twice, so the data are bimodal.

8. QuestionMultiple choice

A line plot records 2 1/2, 3, 3 1/2, and 4 inches. What is the total length?

Please select an answer first.

Correct answer: D

The correct answer is 1313 inches.

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: Add the mixed numbers: 21/2+3+31/2+4=132 1/2 + 3 + 3 1/2 + 4 = 13 inches.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

Add the mixed numbers: 21/2+3+31/2+4=132 1/2 + 3 + 3 1/2 + 4 = 13 inches.

9. QuestionMultiple choice

A line plot has 2 marks at 5 feet, 5 marks at 6 feet, and 1 mark at 7 feet. How many measurements are shown?

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: Add the frequencies: 2+5+1=82 + 5 + 1 = 8 measurements.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

Add the frequencies: 2+5+1=82 + 5 + 1 = 8 measurements.

10. QuestionMultiple choice

A line plot shows book weights from 2 1/2 pounds to 4 pounds. Which statement is supported?

Please select an answer first.

Correct answer: B

The correct answer is The weights range from 2 1/2 to 4 pounds..

  1. Read the data: Identify the values, labels, and display used in the question.
  2. Choose the statistic or comparison: The least and greatest plotted values show the interval from 21/22 1/2 to 44 pounds.
  3. Check the result: Make sure the answer matches the data and uses the correct units or interpretation.

The least and greatest plotted values show the interval from 21/22 1/2 to 44 pounds.

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.