# Activities

• • • ##### Subject Area

• Math: Statistics: Inferential Statistics

• ##### Author 9-12

60 Minutes

• ##### Device
• TI-89 / TI-89 Titanium

TI Connect™

• ##### Accessories

TI Connectivity Cable

• ##### Other Materials
This is Activity 2 from the EXPLORATIONS Book:
Advanced Placement Statistics with the TI-89

## Summarizing Distributions of Univariate Data

#### Activity Overview

Students understand statistical concepts like center of data and the amount of data variation from the center. They calculate the measures of the center of a distribution and the measures of spread for the data collected as a list. Students also create boxplots for the data. They examine the effects of changing units on summary measures.

#### Before the Activity

Install the Statistics with List Editor application on the calculator using one of these two methods:

• TI Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable
• TI-Navigator™  "send to class" feature
• See the attached PDF file for detailed instructions for this activity
• Print pages 37 - 48 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

• Enter the data of building heights as lists
• Find the mean, median, range, interquartile range, and standard deviation
• Drop the largest value from the list and calculate the mean, median, range, interquartile range, and standard deviation for the new data
• Notice that the median and the interquartile ranges are more robust than the mean, range, and standard deviation
• Calculate the standard scores (z scores) and determine the number of standard deviations a value is from the mean
• Sort the data in ascending order and calculate the 25th, 50th, 75th, and 90th percentile values
• Find the percentile value of a given number
• Examine the boxplot for the data
• Determine the percent of data in different regions of the plot
• Change the units for the data and observe the effects on summary measures
• #### After the Activity

Review student results:

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