Education Technology

The Normal Distribution

Published on 06/09/2008

Activity Overview

Students graph normal distributions, shade desired areas, and find related probabilities. They graph Normal probability scatter plots to check the normal (linear) shape of a data distribution.

Before the Activity

Install the Statistics with List Editor application on the calculator using one of these two methods:

  • TI Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable
  • TI-Navigator™ "send to class" feature
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 109 - 116 from the attached PDF file for your class

During the Activity

Distribute the pages to the class.

Follow the Activity procedures:

  • Enter two data sets as lists
  • Calculate the mean and standard deviation for each set
  • Set up a graph
  • Enter the mean, standard deviation, and the upper and lower constraint values
  • Use the shade option to calculate the probability of an event
  • Use the Inverse Normal Function to find a value from the given population
  • Simulate a sample from a Normally Distributed data by creating a histogram
  • Set up a Normal Probability scatter plot and observe that the data points lie on a straight line
  • Identify that linearity is an indication of the data being Normally Distributed
  • Plot a histogram for skewed distribution and observe that the plotted data do not lie on a straight line
  • Measure the thickness of 5 sheets of paper using a Vernier calibers
  • Plot the data and observe the variation from the normal probability plot for small samples
  • After the Activity

    Review student results:

  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary