Lesson 4
The Shape of Distributions
Problem 1
Which of the dot plots shows a symmetric distribution?
Solution
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Problem 2
Which of the dot plots shows a skewed distribution?
Solution
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Problem 3
Create a dot plot showing a uniform distribution.
Solution
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Problem 4
The data represent the number of ounces of water that 26 students drank before donating blood: 8, 8, 8, 16, 16, 16, 32, 32, 32, 32, 32, 32, 64, 64, 64, 64, 64, 64, 64, 80, 80, 80, 80, 88, 88, 88.
- Create a dot plot for the data.
- Create a box plot for the data.
- What information about the data is provided by the box plot that is not provided by the dot plot?
- What information about the data is provided by the dot plot that is not provided by the box plot?
- It was recommended that students drink 48 or more ounces of water. How could you use a histogram to easily display the number of students who drank the recommended amount?
Solution
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(From Unit 1, Lesson 3.)Problem 5
The box plot represents the distribution of the number of points scored by a cross country team at 12 meets.
- If possible, find the mean. If not possible, explain why not.
- If possible, find the median. If not possible, explain why not.
- Did the cross country team ever score 30 points at a meet?
Solution
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(From Unit 1, Lesson 2.)