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The scores on an exam are normally distributed, with a mean of 74 and a standard deviation of 7. What percent of the scores are less than 81? A. 84% B. 13.5% C. 50% D. 16%
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HELP! I FORGOT HOW TO DO THESE! :(
In a normal distribution, 50% of the data falls on either side of the mean, and 68% (34% on each side) of the data falls within 1 SD of the mean. From your question, 81 is 1 SD above the mean. This means all the values less than 81 include the 50% of the data below the mean, and the additional 34% of the data between the mean and 1 SD above the mean. This means that 84% of all the data falls below 81 and A is your answer. Hope that helps!
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