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

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) (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%.
RELATED QUESTIONS
A professor finds that the scores on a History exam are known to be normally distributed... (answered by stanbon)

A man reports the final scores in his statistics course are normally distributed with a... (answered by ewatrrr)

Hi. Please help me solve stats question Suppose scores on exams in statistics are... (answered by Theo)

Suppose ACT Mathematics scores are normally distributed with a mean of 20.8 and a... (answered by Boreal)

The scores of students on a standardized test are normally distributed with a mean of 300 (answered by stanbon)

Suppose the test scores of 600 students are normally distributed with a mean of 76 and... (answered by stanbon)

The scores on an exam are normally distributed, with a mean of 77 and a standard... (answered by Edwin McCravy)

The scores on a certain test are normally distributed with a mean score of 43 and a... (answered by stanbon)