## Central Limit Theorem

Jacqueline Schlasner, Cody Garrison, William Thompson, Javier Elizondo, Emmett Mathews, Braden Roper, Diana Gedye | Published: November 9th, 2020 by K20 Center

Deadly Distribution helps students toward an understanding of the Central Limit Theorem, sample size, and sample distribution.

In Deadly Distribution, the student takes on the role of regional disease control director for a small nation. A deadly infection is spreading rapidly through the area; and the student must gather data about infection rates to decide how to allocate resources and ration limited treatments and vaccines, sending them where they are most needed.

To most accurately reflect real-world statistics, Deadly Distribution uses the SIR model of epidemiology and realistically modeled sampling techniques. This allows the student to see both the patterns and unpredictability of statistical data while experiencing unique, challenging gameplay.

Deadly Distribution emphasizes the tradeoffs required by statistical sampling. Larger, more accurate samples are more expensive, while smaller samples are cheaper but provide less useful information. Through playing Deadly Distribution, the student will gain a better understanding of the way sample size, variance, and cost interact. Only by balancing these factors and being mindful of the data can the student contain the disease, save the population, and progress to the next level.

Instruction on the Central Limit Theorem and related topics connects with game concepts to help the student ground their understanding of difficult topics. Feedback at the end of each scenario helps the player to understand how their interpretation of the data has affected the outcome. After playing Deadly Distribution, students will have a strong foundation upon which they can move into more difficult concepts in statistics.

Integrate this game into your classroom with this free lesson: https://learn.k20center.ou.edu/lesson/329.

### Game Resources

In addition to full implementation support, the K20 Center provides the following documents to help instructors effectively integrate Deadly Distribution into their classrooms:

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### Awards and Publications

Wronowski, M., Urick, A., Wilson, A. S. P., Thompson, W., Thomas, D., Wilson, S., Elizondo, F. J., & Ralston, R. (2020). Effect of a Serious Educational Game on Academic and Affective Outcomes for Statistics Instruction. Journal of Educational Computing Research, 57(8), 2053–2084. https://doi.org/10.1177/0735633118824693

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