Practice Percentiles And Quantiles (6) - Normal Distribution - IB 10 Mathematics – Group 5, Statistics & Probability
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Percentiles and Quantiles

Practice - Percentiles and Quantiles

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the 70th percentile if the mean is 50 and standard deviation is 10? (Z-score = 0.524)

💡 Hint: Use the formula x = μ + zσ.

Question 2 Easy

Which percentile represents the median?

💡 Hint: Think about where half the data falls.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does the 100th percentile represent?

The highest score
The lowest score
The average score

💡 Hint: Think about what it means to cover all data.

Question 2

True or False: A value in the 25th percentile is better than 25% of the values.

True
False

💡 Hint: Revisit the definition of percentiles again.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

In a set of data with a mean of 60 and a standard deviation of 15, if the 95th percentile is calculated, what percentage of data lies above this value?

💡 Hint: Remember the nature of percentiles when calculating above and below.

Challenge 2 Hard

If a data set has a 25th percentile of 50 and a 75th percentile of 85, what does this indicate about the distribution?

💡 Hint: Reflect on what the quartiles represent in the context of distribution.

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