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Suppose that, for a certain exam, a teacher grades on a curve. (let scores 2 or more standard deviations below the mean equal an f, scores 1 to 2 standard deviations below the mean equal a d, scores between 1 standard deviation below and above the mean equal a c, scores between 1 and 2 standard deviations above the mean equal a b, and scores 2 or more standard deviations above the mean equal an a.)

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User Lieuwe
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Final answer:

The grades on the math exams are categorized based on the number of standard deviations from the mean.

Step-by-step explanation:

The subject of this question is Mathematics. The grades are based on a curve, where scores are categorized according to how many standard deviations they are from the mean. The mean grade on Rachel's math exam was 74, with a standard deviation of five. Rachel earned an 80, which falls within one standard deviation above the mean, so her grade would be a C. Similarly, the mean grade on Becca's exam was 47, with a standard deviation of two. Becca earned a 51, which also falls within one standard deviation above the mean, making her grade a C. Lastly, the mean grade on Matt's exam was 70, with a standard deviation of eight. Matt earned an 83, which falls within one standard deviation above the mean, so his grade would be a C.

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