Practice - Properties of the Normal Distribution
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Practice Questions
Test your understanding with targeted questions
What is the total area under the curve of a normal distribution?
💡 Hint: Think about probabilities.
In a normal distribution, how do the mean, median, and mode relate?
💡 Hint: Remember the symmetry property.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is meant by the term 'normal distribution'?
💡 Hint: Think about real-world data patterns.
Approximately what percentage of data falls within ±2 standard deviations of the mean?
💡 Hint: Recall the Empirical Rule percentages.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A factory produces bulbs with a lifespan normally distributed between 800 and 1000 hours with a mean of 900 and a standard deviation of 50. What range of lifespans would you expect approximately 95% of the bulbs to fall within?
💡 Hint: Think how many standard deviations from the mean encompass 95%.
If the heights of a specific group of people are normally distributed with a mean of 160 cm and a standard deviation of 15 cm, what percentage of this group is expected to have heights between 145 cm and 175 cm?
💡 Hint: Find how many standard deviations away from the mean these heights are.
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