Practice Example 2 (7.2) - Normal Distribution - IB 10 Mathematics – Group 5, Statistics & Probability
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Example 2

Practice - Example 2

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the formula for calculating a z-score?

💡 Hint: Think about how far X is from the mean.

Question 2 Easy

What percentage of data falls within 2 standard deviations of the mean?

💡 Hint: Use the empirical rule.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the empirical rule?

💡 Hint: Remember the '68-95-99.7' rule.

Question 2

Is a z-score of 1.0 above average in a normal distribution?

True
False

💡 Hint: What does a z-score represent?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A school administers a math test with scores following N(75, 10). What score corresponds to the 95th percentile?

💡 Hint: Use the formula for calculating the actual score from z-score.

Challenge 2 Hard

If data is skewed to the right, why is the normal distribution not suitable for this analysis?

💡 Hint: Think about the characteristics of distribution tails.

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