Practice Summary Table (9) - Normal Distribution - IB 10 Mathematics – Group 5, Statistics & Probability
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Summary Table

Practice - Summary Table

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What are the two parameters that define a Normal Distribution?

💡 Hint: Think about what shapes the curve of the Normal Distribution.

Question 2 Easy

What is the total area under the curve of a Normal Distribution?

💡 Hint: Consider how probabilities are represented under the curve.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What are the three key properties of a Normal distribution?

Symmetric
bell-shaped
total area = 1
Skewed
peak at extremes
total area = 1
Flat
total area = 2
average = median

💡 Hint: Think about the properties of bell-shaped curves.

Question 2

True or False: The Empirical Rule states that 95% of data falls within 3 standard deviations from the mean.

True
False

💡 Hint: Remember the 68-95-99.7 rule!

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A population of adults has a mean height of 68 inches and a standard deviation of 3 inches. What proportion of adults are taller than 72 inches?

💡 Hint: Use the Z-score to find the upper tail probability.

Challenge 2 Hard

If the scores on a standardized test are normally distributed with μ = 500 and σ = 100, what score corresponds to the 95th percentile?

💡 Hint: Look up Z for the 95th percentile and use the conversion formula!

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