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Numbers, Numbers, Numbers

CSEF · 2005 Mathematics & Software

Katherine E. Bathgate · Bloomington Middle School, Bloomington

Overview

Objectives/Goals My objective was to find out if a small population could give me the same information as a large population when collecting data. Methods/Materials I used a computer program to simulate card deals. One set of data simulated 100 two card throws from a reshuffled single deck of cards, and was repeated a total of 10 times. Another set of data simulated 100 two card throws from a reshuffled 5 deck set, and was repeated a total of ten times. A comparative t-test was performed among the data. Results 60% of the one deck tests did not meet the 0.95 confidence interval for the five deck t-tests. Conclusions/Discussion The smaller populations did not adequately represent the larger populations at a high confidence of t-testing.

Summary statement

I am statiscally trying to establish whether smaller populations of data fully represent larger populations with a computer simulation.

Help received

Brother helped monitor the computer program.

Competition history

  • CSEF 2005 Mathematics & Software · Entry J1203

Resources

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