Practice Properties of the Normal Distribution - 2 | 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 total area under the curve of a normal distribution?

💡 Hint: Think about probabilities.

Question 2

Easy

In a normal distribution, how do the mean, median, and mode relate?

💡 Hint: Remember the symmetry property.

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 meant by the term 'normal distribution'?

💡 Hint: Think about real-world data patterns.

Question 2

Approximately what percentage of data falls within ±2 standard deviations of the mean?

  • 68%
  • 95%
  • 99%

💡 Hint: Recall the Empirical Rule percentages.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A factory produces bulbs with a lifespan normally distributed between 800 and 1000 hours with a mean of 900 and a standard deviation of 50. What range of lifespans would you expect approximately 95% of the bulbs to fall within?

💡 Hint: Think how many standard deviations from the mean encompass 95%.

Question 2

If the heights of a specific group of people are normally distributed with a mean of 160 cm and a standard deviation of 15 cm, what percentage of this group is expected to have heights between 145 cm and 175 cm?

💡 Hint: Find how many standard deviations away from the mean these heights are.

Challenge and get performance evaluation