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Shapes of Distributions Worksheet

Explore and identify different shapes of data distributions, including symmetric, skewed, and uniform distributions, with this Grade 9 math worksheet.

Grade 9 Math Probability and StatisticsShapes of Distributions
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Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustomWord Bank

Standards

CCSS.MATH.CONTENT.HSS.ID.A.3

Topics

mathstatisticsdistributionsgrade 9
8 sections · Free to use · Printable
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Shapes of Distributions

Name:

Date:

Score:

Read each question carefully and answer to the best of your ability. For questions involving graphs, analyze the shape of the distribution shown.

1. Which type of distribution is characterized by a peak in the middle and tails that are roughly symmetrical on both sides?

a

Skewed Left

b

Skewed Right

c

Symmetric

d

Uniform

2. A distribution where the tail extends to the right is called:

a

Skewed left

b

Skewed right

c

Symmetric

d

Uniform

3. In a   distribution, all values have approximately the same frequency.

4. A distribution that has two distinct peaks is called  .

5. Describe how the mean, median, and mode are typically related in a left-skewed distribution.

6. A normal distribution is an example of a symmetric distribution.

T

True

F

False

7. In a right-skewed distribution, the mean is typically less than the median.

T

True

F

False

8. Examine the histogram below. What shape of distribution does it represent?

Student Test Scores01020304050102030405040302010Score IntervalsFrequency

Use the words below to complete the sentences.

Symmetric
Skewed Left
Skewed Right
Uniform

9. If the mean is less than the median, the distribution is likely  .

10. A bell-shaped curve is an example of a   distribution.