Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Displaying and Describing Univariate Data

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

## Box Plots Introduction

#### Activity Overview

This lesson involves representing distributions of data using box plots. The emphasis is on helping students understand the relationship between individual data values and the five-number summary. Students will move data within a dot plot and observe the changes within the corresponding box plot and identify particular actions that most directly affect the five-number summary. As a result, students will develop the reasoning skills to recognize properties of a distribution from its box plot.

#### Objectives

• Students will describe the overall pattern of a distribution by its shape, center, and spread.
• Students will recognize and identify properties of distributions such as symmetry, skewness, and bi-modality from boxplots.
• Students will identify outliers.
• Students will recognize that moving data past a quartile can affect that quartile’s value.
• Students will reason abstractly and quantitatively (CCSS Mathematical Practice).

#### Vocabulary

• boxplot
• inter-quartile range
• outlier
• skewness
• interval
• range
• symmetry
• distribution
• median
• quartile