Practice Between Two Values (5.2) - Normal Distribution - IB 10 Mathematics – Group 5, Statistics & Probability
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Between two values

Practice - Between two values

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the Z-score for a value of 120 if μ = 100 and σ = 15?

💡 Hint: Use the formula Z = (X - μ) / σ.

Question 2 Easy

What does it mean if P(X < a) = 0.85?

💡 Hint: Think about what a cumulative probability indicates.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the Z-score tell you?

The position of a value in a distribution
The mean of a distribution
The probability of a value

💡 Hint: Think of Z-scores as a way to standardize values.

Question 2

True or False: The area under the normal distribution curve totals 2.

True
False

💡 Hint: Recall the properties of probability distributions.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A normal distribution of weights has μ = 150 lbs and σ = 25 lbs. Calculate the probability that a randomly selected individual weighs between 140 and 160 lbs.

💡 Hint: Find Z-scores first.

Challenge 2 Hard

In a normally distributed data set, you want to find what score corresponds to the 95th percentile where μ=70 and σ=10.

💡 Hint: Use the Z-table to find the corresponding z value first.

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