Practice Worked Examples - 7 | 4. Normal Distribution | IB Class 10 Mathematics – Group 5, Statistics & Probability
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the Z-score for X = 54 when X ~ N(50, 8)?

💡 Hint: Use Z = (X - μ) / σ.

Question 2

Easy

If P(Z < 1) is 0.8413, what is P(Z < -1)?

💡 Hint: Look at the symmetry of the distribution.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the Z-score when X = 60, μ = 50, and σ = 10?

  • 1
  • 0.5
  • 2

💡 Hint: Remember the Z-score formula.

Question 2

True or False: In a normal distribution, mean, median, and mode are equal.

  • True
  • False

💡 Hint: Think about the symmetry of the distribution.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A factory produces part sizes that are normally distributed with a mean of 50mm and a standard deviation of 5mm. What is the probability that a part will be between 47mm and 53mm?

💡 Hint: Use Z = (X - μ) / σ to convert.

Question 2

If test scores are normally distributed with a mean of 75 and a standard deviation of 10, what score would you need to be in the top 2%?

💡 Hint: Use the standard Z-table for the 98th percentile.

Challenge and get performance evaluation