Practice Limitations (8.2) - Normal Distribution - IB 10 Mathematics – Group 5, Statistics & Probability

Practice: Limitations

Lesson 8.2Normal Distribution

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8 questions

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6 sample questions

Question 1.
What type of data does the Normal Distribution not apply well to?
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Think about distributions that are not symmetrical.
Question 2.
What is one benefit of transforming data?
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Consider the shape of the data distribution.
3Question 3.
Which of the following is NOT a limitation of the Normal Distribution?
- It cannot model skewed data.
- It is useful in quality control.
- It models extremes accurately.
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Think about data characteristics that are best represented.
4Question 4.
True or False: Heavy tails refer to the tendency of data to behave normally under extreme circumstances.
- True
- False
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Consider how extremes are treated in statistical distributions.
Question 5.
You are analyzing a dataset of yearly incomes in a city known for its wealth disparity. Discuss how you would check for normality and detail what transformations could be applied if necessary.
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Consider visual and statistical tools for your assessment.
Question 6.
In the stock market, you notice that large price fluctuations occur more frequently than predicted. Suggest a statistical model better suited for this scenario and explain why.
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Evaluate models that handle extremes effectively.

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