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.
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Standards
Topics
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?
Skewed Left
Skewed Right
Symmetrical
Uniform
2. In a distribution skewed to the left, which measure of central tendency is typically the smallest?
Mean
Median
Mode
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.
7. A uniform distribution has a single peak.
True
False
8. In a skewed right distribution, the mean is usually greater than the median.
True
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?
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