# Activities

• • • ##### Subject Area

• Math: Statistics: Inferential Statistics

• ##### Author 9-12

60 Minutes

• ##### Device
• TI-89 / TI-89 Titanium

TI Connect™

• ##### Accessories

TI Connectivity Cable

• ##### Other Materials
This is Activity 8 from the EXPLORATIONS Book:
Advanced Placement Statistics with the TI-89

• ##### Report an Issue

The Normal Distribution

#### 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.

• 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