Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Probability and Random Variables

6-8

100 Minutes

• ##### Device
• TI-83
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition
• ##### Other Materials
This is Activity 7 from the EXPLORATIONS Book:
Graphing Calculator Activities for Enriching Middle School Mathematics

## Collecting Pens

#### Activity Overview

Students explore simulation strategies to solve real world problems involving probability and randomness. They use the Monte Carlo procedure to simulate the collecting of six different colored felt-tipped markers from boxes of Kellogg's cereals. They examine and analyze summary statistics and statistical plots of the data.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 61 - 76 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

• Assign a number from 1 to 6 for each color
• Use the calculator to generate random numbers between 1 and 6 (including 1 and 6)
• Record the frequency of the numbers
• When all six numbers have appeared at least once, repeat the simulation for two more trials
• Enter the data as lists and create a frequency table
• Examine the frequency table and record the minimum and maximum values, and the largest frequency
• Set up the window and define the width of the interval
• Graph a histogram
• Create a box-and-whisker plot
• Analyze the distribution of the data
• Determine the number of boxes a customer has to buy in order to collect all six pen colors
• #### After the Activity

Students complete the data sheet and answer questions.

Review student results:

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