Education Technology

Transforming Univariate Data

Updated on 07/03/2014

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.