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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define variance in your own words.
💡 Hint: Think about how data can be distributed around the average.
Question 2
Easy
What does a low standard deviation indicate about a dataset?
💡 Hint: Consider how spaced out or concentrated the data points are.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does variance measure?
- A) Mean of data
- B) Spread of data around the mean
- C) Only extreme values
💡 Hint: Remember how it relates to the average!
Question 2
True or False: Standard deviation can be negative.
- True
- False
💡 Hint: Think about what the terms mean.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given a dataset of temperatures over a week: [30, 32, 35, 29, 31, 34, 33], calculate the variance and standard deviation, and interpret the results in terms of how stable the temperatures are.
💡 Hint: Calculate the mean first to ease finding deviations.
Question 2
Discuss the implications of high variance in the design of a control system for a mechanical device. Why is it critical to address this during PDE analysis?
💡 Hint: Consider how variability affects performance.
Challenge and get performance evaluation