Many natural phenomena can be closely approximated by simple statistical distributions. The most common of these distributions is the normal distribution, most often referred to by laypeople as the "bell-shaped curve." Because of its prevalence, the normal distribution is the foundation of many statistical methods. This module describes how to make calculations with a normal distribution. These calculations are useful in their own right, but they also form the foundation for many of the methods used in later modules.
After completing this module, you should be able to ...
- Describe the shape, center, and dispersion of a normal distribution.
- Explain the physical characteristics of a normal distribution that are represented by the mean and standard deviation.
- Estimate percentages of individuals and values of variables using the 68-95-99.7 Rule.
- Identify the difference between "forward" and "reverse" types of calculations.
- Accurately make "forward" calculations with R.
- Accurately make "reverse" calculations with R.
Preparation for Class
Use the materials below to answer the questions on this preparation guide.
- Video: Characteristics of Normal Distributions [7 mins]
- Video: 68-95-99.7 Rule – A [9 mins] or B [8 mins]
- Video: Types of Calculations (Forward & Reverse) [4 mins]
- Video: Forward Calculations in R [6 mins]
- Video: Reverse Calculations in R [6 mins]
- Review Exercises: Simple Areas / Forward & Reverse Calcs / In-Context Calculations
- Class Exercises: 1 / 2 / 3 / 4 (time permitting … 5 / 6)
- Homework Assignments