Question
Grading on the curve means assigning grades according to the normal distribution. The mean of a test is 50 , with a standard deviation of 10 . If $10 \%$ of the class receives A's, what is the lowest score that receives an A?
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We know that the mean (μ) is 50 and the standard deviation (σ) is 10. Show more…
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Top 10% of scores receive an A Bottom 10% of scores receive an F Scores between the 70th and 90th percentile receive a B Scores between the 30th and 70th percentile receive a C Scores between the 10th and 30th percentile receive a D Find the range of scores that would qualify for each grade under this plan. (Assume all scores are normally distributed with a mean of 60.53 and standard deviation of 10.96.) Exam Scores Letter Grade
The grading system known as “grading on the curve” is based on the assumption that grades are often distributed according to the normal curve and that a certain percent of a class should receive each grade, regardless of the performance of the class as a whole. The following is how one professor might grade on the curve. $$\begin{array}{lclc}{\text { Grade }} & {\text { Total Points }} \\ {A} & {\text { Greater than } \mu+(3 / 2) \sigma} \\ {B} & {\mu+(1 / 2) \sigma \text { to } \mu+(3 / 2) \sigma} \\ {C} & {\mu-(1 / 2) \sigma \text { to } \mu+(1 / 2) \sigma} \\ {D} & {\mu-(3 / 2) \sigma \text { to } \mu-(1 / 2) \sigma} \\ {F} & {\text { Below } \mu-(3 / 2) \sigma}\end{array}$$ What percent of the students receive the following grades? $$A$$
Statistics
The Normal Distribution
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