10217

# Impact of Sample Size on Approximating the Triangular Distribution

You can select the minimum, mode, and maximum parameter values for the triangular distribution. By definition, the minimum < mode < maximum. The sample probability distribution is compared to the theoretical distribution as you increase the sample size. In general, as the sample size increases, the more closely the sample distribution matches the theoretical distribution. The red dot shows the mean value for the theoretical distribution.

### DETAILS

The triangular distribution is used in discrete-event and Monte Carlo simulation as a key probability distribution for modeling randomness. This Demonstration compares the sample triangular probability distribution with the theoretical distribution. Probability and statistical theory shows us that as the number of samples increases for the given parameter values, the more closely the sample probability distribution will resemble the theoretical distribution. You can verify this by specifying the minimum, mode, and maximum parameter values that describe a sample triangular probability distribution. The specified number of samples is randomly generated and compared to the theoretical distribution.

### PERMANENT CITATION

Contributed by: Paul Savory (University of Nebraska-Lincoln)
 Share: Embed Interactive Demonstration New! Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details » Download Demonstration as CDF » Download Author Code »(preview ») Files require Wolfram CDF Player or Mathematica.

#### Related Topics

 RELATED RESOURCES
 The #1 tool for creating Demonstrations and anything technical. Explore anything with the first computational knowledge engine. The web's most extensive mathematics resource. An app for every course—right in the palm of your hand. Read our views on math,science, and technology. The format that makes Demonstrations (and any information) easy to share and interact with. Programs & resources for educators, schools & students. Join the initiative for modernizing math education. Walk through homework problems one step at a time, with hints to help along the way. Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet. Knowledge-based programming for everyone.