SOLUTION: In normally distributed data, what percent of the data lies on the interval 2 standard deviations away from the mean.

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Question 1193057: In normally distributed data, what percent of the data lies on the interval 2 standard deviations away from the mean.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the interval 2 standard deviations away from the mean is 4 standard deviations wide.
that is 2 standard deviations to the left of the mean and 2 standard deviations to the right of the mean.
the z-score for that would be plus or minus 2.
the area to the left of a z-score of -2 is equal to .02275.
the area to the left of a z-score of 2 is equal to 1 minus .02275 = .97725.
the area between those 2 z-scores is equal to .97725 minus .02275 = .95450.
your solution is that 95.450% of the data lies on the interval 2 standard deviations away from the mean.