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Grade 7 Math: Shapes of Distributions

Explore the shapes of various data distributions including symmetric, skewed, and uniform. Practice identifying and interpreting different distribution shapes.

Grade 7 Math Probability and StatisticsShapes of Distributions
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.7.SP.B.3

Topics

mathgrade 7statisticsdata distributionshapes of distributionsmeanmedianmodeskewnesssymmetryuniform
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 graphs, observe the shape of the distribution before answering.

1. Which type of distribution has a symmetrical shape where the left and right sides are mirror images?

a

Skewed Left

b

Skewed Right

c

Symmetrical

d

Uniform

2. In a distribution skewed to the left, which measure of central tendency is typically the smallest?

a

Mean

b

Median

c

Mode

d

All are equal

3. A distribution with a long tail extending to the right is said to be skewed to the  .

4. When all values in a data set have roughly the same frequency, the distribution is called  .

5. Describe the relationship between the mean, median, and mode in a perfectly symmetrical distribution.

6. Observe the bar graph below, which shows the number of hours students spent studying for a test. What is the shape of this distribution (symmetrical, skewed left, skewed right, or uniform)? Explain your reasoning.

Hours Spent Studying0510152025HoursNumber of Students51102153204255256"

7. A uniform distribution has a single peak.

T

True

F

False

8. In a skewed right distribution, the mean is usually greater than the median.

T

True

F

False

9. A teacher recorded the scores of a math test. Most students scored very high, but a few students scored very low. What shape would the distribution of these test scores likely have? Why?