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There's a random class in a random school with total number of 38 student, there is a test going on with an total point of

There's a random class in a random school with total number of 38 student, there is a test going on with an total point of 35, the highest score is 33(2 student), and the average is 23.1. And the remaining is the class distribution: 28-34(10 students) 21-27(18 student) <21 (10 student). 1. Now help the teacher to curve the grade to the average of 75.5 , median of 76-79, and assign the old distribution into new distribution below 90-100(8%) 85-89(12%) 80-84(17%) 76-79(16%) 73-75(16%) 70-72(12%) 67-69(7%) 64-66(5%) 60-63(3%) 55-59(2%) 50-54(1%) 0-49(1%) 2. Please specify that a student has achieve 15/35 in her original score, which new distribution range that she will fall into after assign the old distribution into new distribution

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