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Shapes of Distributions Worksheet

Explore the different shapes of data distributions, including symmetric, skewed, and uniform, with this Grade 8 math worksheet.

Grade 8 Math Probability and StatisticsShapes of Distributions
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Includes

2 Short AnswerMultiple ChoiceTrue / FalseCustomFill in the Blanks

Standards

CCSS.MATH.CONTENT.8.SP.A.1

Topics

mathgrade 8statisticsdistributionsdata analysis
8 sections · Free to use · Printable
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Shapes of Distributions

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Read each question carefully and answer to the best of your ability. For questions involving diagrams, analyze the visual representation of the data distribution.

1. What are the three main shapes of distributions we study in statistics? Describe each in your own words.

2. Which of the following describes a distribution where the data is spread out evenly across all values?

a

Skewed Right

b

Symmetric

c

Uniform

d

Bimodal

3. In a skewed left distribution, the tail of the data points towards the larger values.

T

True

F

False

4. The bar graph below shows the number of books read by students in a class over a month. Describe the shape of this distribution.

Books Read by Students0510152061-2123-4245-6187-869-10Number of Books ReadNumber of Students

5. A distribution with a longer tail to the right is called  .

6. When the mean, median, and mode are approximately equal, the distribution is likely  .

7. Give an example of a real-world dataset that would likely have a skewed left distribution. Explain why.