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Mid-Term Exam Score Calculation Methodology and Examples

This document outlines the calculation methods for mid-term exam scores based on multiple-choice and problem scores. The calculation uses formulas involving raw scores and adjustments based on specific parameters for different exams. Detailed examples for two distinct mid-term exams (Exam A and Exam B) showcase how to compute the final scores using provided problem sets. Key variables such as R1, R2, and RBU are explained within the context of these examples. This guide serves as a resource for understanding the scoring system for mid-term assessments.

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Mid-Term Exam Score Calculation Methodology and Examples

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  1. Your Mid Term Exam Score MC = Multiple choice test score (first red number on Scantron sheet) PS = Problem Score (on test questions) MT Score = MC x 2 + PS

  2. Mid-Term Scores

  3. Exam A – Problem 1 A = R1 +[(RBU) x (1 - R1)] = .90 +[(.85) x (1 - .90)] = .9850 B = R2 =.95 C = R1 +[(RBU) x (1 - R1)] = .98 +[(.80) x (1 - .98)] = .9320

  4. Exam A – Problem 1 RS = A x B x C = .9850 x .95 x .9960 = .9320

  5. Exam B – Problem 1 A = R1 +[(RBU) x (1 - R1)] = .95 +[(.80) x (1 - .95)] = .99 B = R2 =.92 C = R1 +[(RBU) x (1 - R1)] = .90 +[(.88) x (1 - .10)] = .988

  6. Exam B – Problem 1 RS = A x B x C = .99 x .92 x .988 = .8998

  7. Exam A – Problem 2 Method 1:

  8. Exam A – Problem 2 Method 2:

  9. Exam A – Problem 2

  10. Exam B – Problem 2

  11. Exam B – Problem 2

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