Practice Properties of the Normal Distribution - 20.2 | 20. Normal Distribution | Mathematics - iii (Differential Calculus) - Vol 3
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Properties of the Normal Distribution

20.2 - Properties of the Normal Distribution

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What shape does the graph of a normal distribution form?

💡 Hint: Think about how you would draw it.

Question 2 Easy

True or False: The mean, median, and mode are always the same in a normal distribution.

💡 Hint: Consider how data balances around the center.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What characterizes the normal distribution curve?

Asymmetric shape
Symmetrical shape around the mean
Straight line

💡 Hint: Visualize the curve when thinking about this.

Question 2

True or False: The total area under the normal distribution curve is equal to 2.

True
False

💡 Hint: Recall the basis of probability.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A company finds that the length of time its employees work each day is normally distributed with a mean of 8.5 hours and a standard deviation of 0.5 hours. What is the probability that a randomly selected employee works between 8 and 9 hours?

💡 Hint: Remember to find the Z-scores first before referring to the Z-table.

Challenge 2 Hard

Explain how you would use the normal distribution to model the heights of plants in a garden, describing the steps to determine if the plant heights follow a normal distribution.

💡 Hint: Consider different characteristics of the plants and how you’d measure them.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.