#### Document Type

Article

#### Publication Date

9-1-1992

#### Keywords

statistics, distribution, probability

#### Abstract

Introductory statistics textbooks typically develop the concept of continuous random variables with a discussion of only the variables' probability distribution function and omit any discussion of the cumulative distribution function. The cumulative distribution function, however, is useful in developing the concepts of a normal distribution, the standard normal distribution and the probability of a continuous random variable falls within a specific range of values since the standard normal statistical table is derived from the cumulative distribution function. This paper develops a simple graphical relationship between a continuous random variables' cumulative distribution function and its probability distribution function that can be used as a pedagogical tool to more efficiently develop the undergraduate students' conceptual understanding of the topic.

#### Publisher

Department of Economics, South Dakota State University

#### Series Number

92-5

#### Number of Pages

14

#### Recommended Citation

Adamnson, Dwight and Fausti, Scott, "Teaching Introductory Statistics: A Graphical Relationship Between The Cumulative Distribution Function and the Probability Distribution Function" (1992). *Economics Staff Paper Series*. 88.

http://openprairie.sdstate.edu/econ_staffpaper/88