# Activities

• • • ##### Subject Area

• Math: Statistics: Normal Distributions

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

## Assessing Normality

#### Activity Overview

In this activity, students will learn four characteristics of a normal curve: the distribution is symmetric and mound-shaped; the mean and median are approximately equal; the distribution meets the 68-95.5-99.7 rule; and the normal probability plot is linear. They will use these to determine if a data set it normal.

#### Objectives

• Students will recognize that there are four tests for assessing normality in a data set:
1. The distribution is mound-shaped and approximately symmetric.
2. The mean and median are approximately equal.
3. The distribution follows the 68-95-99.7 rule.
4. A normal probability plot of the data set is approximately linear.
• Students will use the four tests to assess the normality of a given data set.

#### Vocabulary

• normal distributions
• histograms
• measures of central tendency
• percentiles
• normal probability plot
• 68-95-99.7 rule