Practice Example Problems - 20.6 | 20. Normal Distribution | Mathematics - iii (Differential Calculus) - Vol 3
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the Z-score for a value of 90 when the mean is 75 and standard deviation is 5?

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

Question 2

Easy

If the mean is 50 and standard deviation is 10, what is the probability of scoring below the mean?

💡 Hint: Consider the properties of normal 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 mean in the Normal Distribution?

  • Mode
  • Median
  • Average

💡 Hint: Consider what the term 'mean' refers to in statistics.

Question 2

Z-scores can only be positive.

  • True
  • False

💡 Hint: Think about how Z-scores are calculated.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a mean of 50 and standard deviation of 5, find the probability of obtaining a score greater than 60.

💡 Hint: Calculate the Z-score and refer to the Z-table.

Question 2

Determine the range for which 95% of the data lies in a normal distribution with a mean of 200 and standard deviation of 30.

💡 Hint: Recall the Empirical Rule.

Challenge and get performance evaluation