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By Kartik Donepudi, V Form
A Statistical Analysis of Jury Sizes and Guilty Verdicts
Given that a certain percentage, p, of jurors in a trial are inclined to vote guilty, which of the following is more likely?
- 6 jurors ruling guilty in a 6-person jury
- 10 or more jurors ruling guilty in a 12-person jury
By Steven Li & Gabriel Xu, V Form and Finn Reams & Thee Ngamsangrat, VI Form
Math Modeling: Improved System for Ranking Colleges
Our task was to rank undergraduate colleges based on major elements that were most important to us. To solve the problem at hand, we first came up with six general elements of a college that held significance and found specific variables that would quantify each element. After putting all the variables into a ranking function, we adjusted the weights put on each category in correspondence with the importance we believed they contributed. We applied our model to both normal and extreme cases for testing, and we drew a 3D graph that showed the relationship between the final result with two of the variables as well. (more…)
By Mr. Scott Dolesh, Mathematics Faculty
Outcomes in Team Based Learning in Algebra II
My project compares the outcomes of students in Team Based Learning (TBL) Algebra II courses versus students in traditional teacher directed Algebra II courses. I had one Algebra II course that I used the TBL approach, and I had one Algebra II course that I used a traditional teacher directed approach. I also had a colleague who had two Algebra II courses that she taught using the TBL approach, and another colleague who had one Algebra II course that she taught using a traditional teacher directed approach. I compared the outcomes on our two common assessments that we give in Algebra 2: the first being the midterm exam and the second being the final exam. (more…)