# Activities

• • • ##### Subject Area

• Math: Statistics: Inferential Statistics

• ##### Author 6-8

60 Minutes

• ##### Device
• TI-73 Explorer™
• ##### Other Materials
This is Activity 2 from the EXPLORATIONS Book:
Activities for Algebra with the TI-73.

The following materials are required for this activity:
• Metric tape measure (meter stick)

#### Activity Overview

Students find ratios and calculate measures of central tendency for sets of data. They understand the concept of the Golden Ratio. They use box-and-whisker plots to analyze data.

#### Before the Activity

• Set up the calculator for data collection using the procedure described in the attached Appendix PDF file
• See the attached PDF file for detailed instructions for this activity
• Print pages 15 - 22 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

• Measure and record the height of a person, the distance from the navel to the floor, and the distance from the head to the navel
• Enter the data in the calculator using lists
• Calculate the ratio of height to distance from the navel to the floor
• Calculate the ratio of distance from the navel to the floor to distance from the head to the navel
• Repeat the experiment for different people, find the mean ratio, and compare it with the golden ratio
• Create a box-and-whisker plot of the listed ratios
• Calculate measures of central tendency for this data
• Repeat the procedure for different sets of data
• #### After the Activity

Students will complete the Data Collection and Analysis page and answer questions listed on it.

Review student results:

• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary