Science Bowl Question

📅 MIT Science Bowl 2024🎓 HS🔄 Round 13#️⃣ Question 12🌟 BONUS✍️ Short Answer

Evie scored a 90 on her calculus final, which is one standard deviation above the class mean of 80. The final is broken into two equally weighted parts A and B so that the sum of the scores on both parts is the final score. If her score on Part A had a z-score of 1 and her score on Part B a z-score of 1/2, what is the standard deviation of the class's scores on Part B, assuming both parts to be normally distributed?

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