Practice Standardization Process (4) - Normal Distribution - IB 10 Mathematics – Group 5, Statistics & Probability
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Standardization Process

Practice - Standardization Process

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the Z-score for X = 130 if X ~ N(120, 10)?

💡 Hint: Remember, Z is calculated as (X - μ) / σ.

Question 2 Easy

What does a Z-score of 0 signify?

💡 Hint: Think about the position relative to the average.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does standardizing a normal variable help us achieve?

A) Make it more complex
B) Compute probabilities easily
C) Reduce the mean

💡 Hint: Think about the purpose of the Z-table.

Question 2

True or False: When a Z-score is negative, it means the value is above the mean.

True
False

💡 Hint: Reflect on the Z-score definition.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A dataset has a mean of 150 and a standard deviation of 30. Find the Z-score for a value of 180 and interpret it.

💡 Hint: Standardize to interpret the position relative to the mean.

Challenge 2 Hard

If a student needs to be in the top 10% for a test scored normally distributed with a mean 75 and a standard deviation of 10, what score must they achieve?

💡 Hint: Use Z-tables for percentile lookup.

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