Question

When exam scores are low, students often ask the teacher whether he or she is going to "curve" the grades. The hope is that by curving a low score on the exam, the students will wind up getting a higher letter grade than might otherwise be expected. The term curving grades, or grading on a curve, comes from the bell curve of the normal distribution. If we assume that scores for a large number of students are distributed normally (as with SAT scores) and we also assume that the class average should be a"C," then a teacher might award grades as listed in the table below. A1.5 standard deviations above the mean or higher 0.5 to 1.5 standard deviations above the mean within 0.5 standard deviation of the mean D 0.5 to 1.5 standard deviations below the mean F1.5 standard deviations below the mean or lower Suppose a teacher curved grades using the bell curve as in the table above and the grades were indeed normally distributed.What percent of students would get a grade of "F"? Round your answer as a percentage to one decimal place. What percent of students would get a grade of "B"? Round your answer as a percentage to one decimal place. Suggestion: To find the percentage of students getting a grade of "B," subtract the percentage of students 0.5 standard deviation or less above the mean from the percentage of students 1.5 standard deviations or less above the mean.%

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