# Activities

• • • ##### Subject Area

• Math: Statistics: Normal Distributions

• ##### Author 9-12

45 Minutes

• ##### Device
• TI-Nspire™
• TI-Nspire™ CAS
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™ Apps for iPad®
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.6

• ##### Report an Issue

Transforming Univariate Data

#### Activity Overview

This lesson involves square root, logarithmic, square, and exponentiation transformations of skewed univariate data using a given data set.

#### Objectives

• Students will recognize that the mean of a skewed data set may not be a useful measure of center.
• Students will compare different transformations of univariate data and determine which one is more effective at eliminating skew.
• Students will understand that univariate data can be transformed in order to apply z-scores and inference procedures.

#### Vocabulary

• exponentiation
• logarithm
• mean
• skew (left and right)
• square root
• symmetric
• univariate data

#### About the Lesson

This lesson involves square root, logarithmic, square, and exponentiation transformations of skewed univariate data using a given data set.

As a result, students will:

• Look at data that has been transformed using square roots and logarithms and determine which is more effective at reducing skewness in a given distribution.
• Look at data that has been transformed using squares, exponentiation, square roots, and logarithms and determine which is more effective at reducing skewness in a given distribution. Recognize that performing data transformation can eliminate skewness in a distribution, allowing use of the transformed mean and standard deviation in z-scores.