Shapes of Distributions Worksheet
Explore and identify different shapes of distributions using various data representations for Grade 6 math students.
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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 data displays, analyze the shape of the distribution.
1. Which of the following describes a distribution where most of the data is clustered on the left side with a long tail extending to the right?
Symmetric
Skewed Left
Skewed Right
Uniform
2. A histogram showing the number of pets owned by students in a class has a peak in the middle and tapers off equally on both sides. What shape of distribution does this represent?
Skewed Left
Skewed Right
Uniform
Symmetric
3. A distribution where all values occur with approximately the same frequency is called a distribution.
4. If a distribution has a long tail to the left, it is said to be skewed .
5. Observe the bar graph below showing the heights of plants in a garden. Describe the shape of this distribution (e.g., symmetric, skewed left, skewed right, uniform).
6. A distribution with two distinct peaks is called bimodal.
True
False
7. In a skewed right distribution, the mean is typically less than the median.
True
False
Match the description of the distribution shape with its name.
8. Data is evenly spread across all values.
a. Skewed Left
9. Most data points are on the right, with a tail to the left.
b. Uniform
10. Data creates a bell-like curve, symmetrical around the center.
c. Skewed Right
11. Most data points are on the left, with a tail to the right.
d. Symmetric
12. The dot plot below shows the number of books read by students in a month. Describe the shape of this distribution and explain what it tells you about the students' reading habits.