20.6 - Example Problems
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Practice Questions
Test your understanding with targeted questions
What is the Z-score for a value of 90 when the mean is 75 and standard deviation is 5?
💡 Hint: Use the Z-score formula: Z = (X - μ) / σ.
If the mean is 50 and standard deviation is 10, what is the probability of scoring below the mean?
💡 Hint: Consider the properties of normal distribution.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the mean in the Normal Distribution?
💡 Hint: Consider what the term 'mean' refers to in statistics.
Z-scores can only be positive.
💡 Hint: Think about how Z-scores are calculated.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a mean of 50 and standard deviation of 5, find the probability of obtaining a score greater than 60.
💡 Hint: Calculate the Z-score and refer to the Z-table.
Determine the range for which 95% of the data lies in a normal distribution with a mean of 200 and standard deviation of 30.
💡 Hint: Recall the Empirical Rule.
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Reference links
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