SOLUTION: without using a normal curve table, about what proportion of scores on a normal curve are 2 SD above the mean? would the answer be .0228? Thank you in advance!!

Question 1136148: without using a normal curve table, about what proportion of scores on a normal curve are 2 SD above the mean?
would the answer be .0228?
Thank you in advance!!
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
:
A normal distribution is associated with the 68-95-99.7 rule which states that 68% of the data is within 1 standard deviation of the mean, 95% of the data is within 2 standard deviations of the mean and 99.7% of the data is within 3 standard deviations of the mean
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For this problem, we take 1 - 0.95 = 0.05 BUT we are interested only in the proportion above the mean so 0.05/2 = 0.025 gives us an approximate value for the answer
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Note that the values of the 68-95-99.7 rule when using a Normal curve are 68.27%, 95.45% and 99.73%
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