Practice Standard Normal Distribution - 20.3 | 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.

Academics
Professionals

Professional Courses

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

Professional Courses
Games

Interactive Games

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

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the Z-score for a value of 50 with a mean of 50 and a standard deviation of 10?

πŸ’‘ Hint: Think about how many standard deviations away it is from the mean.

Question 2

Easy

If X = 60, ΞΌ = 50, and Οƒ = 5, what is the Z-score?

πŸ’‘ Hint: Subtract the mean and then divide by the standard deviation.

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 of the Standard Normal Distribution?

  • 0
  • 1
  • Any real number

πŸ’‘ Hint: Remember, all values are standardized!

Question 2

True or False: The standard deviation of the Standard Normal Distribution is 1.

  • True
  • False

πŸ’‘ Hint: Think about the standardization process!

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A distribution has ΞΌ = 100 and Οƒ = 15. Calculate the Z-score for a value of 130 and the associated probability.

πŸ’‘ Hint: Start with the Z-score formula, then use the table to find the area.

Question 2

In a sample of test scores with ΞΌ = 50 and Οƒ = 5, what is the probability that a score is lower than 48?

πŸ’‘ Hint: Know how to interpret the negative Z-scores in the table.

Challenge and get performance evaluation