SOLUTION: Suppose the scores of students on a Statistics course are Normally distributed with a mean of 226 and a standard deviation of 55. What percentage of the students scored between 2

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Question 1134243: Suppose the scores of students on a Statistics course are Normally distributed with a mean of 226 and a standard deviation of 55.
What percentage of the students scored between 226 and 336 on the exam? (Give your answer to 3 significant figures.)

Answer by Glaviolette(140) About Me  (Show Source):
You can put this solution on YOUR website!
336 is 110 above 226 which would be 2 standard deviations. According to the empirical rule, 95% of the data in a normal distribution is 2 standard deviations away from the mean on either side. Therefore, half of that would be withing 2 st. dev. above the mean, or 47.5%.