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M6 - Shape of the Distribution - Printable Mathematics Worksheets class 7 - Wayground

M6 - Shape of the Distribution

15 questions

6th - 8th Grade

Mathematics

M6 - Shape of the Distribution is a free printable mathematics worksheet for students in Grades 6–8. It contains 15 multiple-choice questions that ask students to identify whether a graph, data set, distribution, or dot plot is skewed left, skewed right, or symmetrical. The repeated visual classification format gives learners focused practice distinguishing the three overall distribution shapes. Students build fluency by analyzing the shape of each displayed data representation and selecting the best description from the answer choices. This worksheet is useful for independent practice, guided review, or a quick formative check after introducing distribution shape. A complete answer key is included, and the worksheet is available as a free printable PDF for classroom or at-home use.

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Worksheets

M6 - Shape of the Distribution

Total questions: 15

Name
Class
Date
1.

What is the shape of the distribution?

a)

Skewed Left

b)

Skewed Right

c)

Symmetric

2.

What is the shape of the distribution?

a)

Skewed Left

b)

Skewed Right

c)

Symmetric

3.

What is the shape of the distribution?

a)

Left skewed

b)

Symmetrical

c)

Right Skewed

4.

Which of the following best describes the shape of the distribution?

a)

SKEWED LEFT

b)

SKEWED RIGHT

c)

SYMMETRICAL

5.

Which of the following best describes the shape of the distribution?

a)

SKEWED LEFT

b)

SKEWED RIGHT

c)

SYMMETRICAL

6.

Which of the following best describes the shape of the distribution?

a)

SKEWED LEFT

b)

SKEWED RIGHT

c)

SYMMETRICAL

7.

Which of the following best describes the shape of the distribution?

a)

SKEWED LEFT

b)

SKEWED RIGHT

c)

SYMMETRICAL

8.

Which of the following best describes the shape of the distribution?

a)

SKEWED LEFT

b)

SKEWED RIGHT

c)

SYMMETRICAL

9.

Describe the shape of the graph.

a)

Symmetrical

b)

Skewed left

c)

Skewed right

10.

What is the shape of the Data Set?

a)

Skewed Left

b)

Symmetrical

c)

Skewed Right

11.

How would you describe this data?

a)

Skewed Left

b)

Skewed Right

c)

Symmetrical

12.

What is the shape of the distribution?

a)

Skewed Left

b)

Skewed Right

c)

Symmetric

13.

Choose the best description of the overall shape of the dot plot.

a)

Skewed right

b)

Skewed left

c)

Symmetrical

14.

What is the shape of the distribution?

a)

Skewed Left

b)

Skewed Right

c)

Symmetric

15.

What is the shape of the distribution?

a)

Skewed Left

b)

Skewed Right

c)

Symmetric

Answer Key

M6 - Shape of the Distribution

Total questions: 15

1.
b)

Skewed Right

2.
c)

Symmetric

3.
b)

Symmetrical

4.
a)

SKEWED LEFT

5.
b)

SKEWED RIGHT

6.
b)

SKEWED RIGHT

7.
a)

SKEWED LEFT

8.
c)

SYMMETRICAL

9.
a)

Symmetrical

10.
a)

Skewed Left

11.
b)

Skewed Right

12.
b)

Skewed Right

13.
c)

Symmetrical

14.
b)

Skewed Right

15.
a)

Skewed Left

FAQs

What does the M6 - Shape of the Distribution worksheet help students learn?

This Grade 6–8 mathematics worksheet helps students identify whether a graph, data set, distribution, or dot plot is skewed left, skewed right, or symmetrical. Across 15 multiple-choice items, students repeatedly classify the overall shape and select the matching description, building accuracy and fluency with distribution-shape vocabulary.

How can I use this worksheet to teach students about the shape of a distribution?

First model how to inspect the overall pattern of a graph or dot plot and decide whether it is balanced or has a longer tail to the left or right. Then have students explain why each example is skewed left, skewed right, or symmetrical before completing the 15 multiple-choice items independently. Use the answer key to discuss items where students selected a different shape.

What mistakes should I watch for when students complete this distribution-shape worksheet?

Students may confuse the side where most data values cluster with the direction of the skew, or identify the peak rather than the direction of the longer tail. They may also label a distribution as skewed when its overall pattern is symmetrical. Ask students to describe the full shape of each graph, data set, or dot plot before choosing an answer.

How do I assign and grade the M6 - Shape of the Distribution worksheet?

Wayground provides this 15-question worksheet as both a printable PDF and a digital quiz, and it includes a complete answer key. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or review responses through the digital quiz. The printable format also supports classrooms that are reducing screen time.

How can I differentiate this shape-of-distribution worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or font size to make the distribution-shape questions easier to read alongside their graphs and answer choices. You can also select a dyslexia-friendly font or translate the worksheet into another language when appropriate. These options modify the worksheet file while preserving its 15-item multiple-choice format.

Where can I find more free worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.