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Shapes of Distributions Worksheet

Grade 11 Math worksheet focusing on identifying and describing the shapes of various statistical distributions, including symmetric, skewed, and uniform.

Grade 11 Math Probability and StatisticsShapes of Distributions
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Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / FalseMatching

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HSS-ID.A.3mathstatisticsdistributionsgrade 11
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. A distribution where the left side is a mirror image of the right side is called:

a

Skewed right

b

Skewed left

c

Symmetric

d

Uniform

2. In a distribution skewed to the right, the tail points towards the:

a

Left

b

Right

c

Center

d

Upwards

3. A distribution with a single peak is called  .

4. If all values in a dataset occur with roughly the same frequency, the distribution is said to be  .

5. Describe the characteristics of a bimodal distribution.

6. Observe the histogram below. What shape does this distribution appear to have? Explain your reasoning.

Sample Data Distribution05101520255102025201052.5Bin 1Bin 2Bin 3Bin 4Bin 5Bin 6Bin 7Bin 8

7. A distribution that is skewed to the left has its mean to the right of its median.

T

True

F

False

8. A uniform distribution has a clear peak at its center.

T

True

F

False

Match each distribution shape with its description.

9. Symmetric Distribution

 

a. Data clustered on the right, tail extending to the left.

10. Skewed Right Distribution

 

b. Data clustered on the left, tail extending to the right.

11. Skewed Left Distribution

 

c. Data is evenly distributed across all values.

12. Uniform Distribution

 

d. A bell-shaped curve where both sides are mirror images.