document.write( "Question 1193057: In normally distributed data, what percent of the data lies on the interval 2 standard deviations away from the mean. \n" ); document.write( "

Algebra.Com's Answer #825010 by Theo(13342) $\"\"$ $\"About$

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the interval 2 standard deviations away from the mean is 4 standard deviations wide.
\n" ); document.write( "that is 2 standard deviations to the left of the mean and 2 standard deviations to the right of the mean.
\n" ); document.write( "the z-score for that would be plus or minus 2.
\n" ); document.write( "the area to the left of a z-score of -2 is equal to .02275.
\n" ); document.write( "the area to the left of a z-score of 2 is equal to 1 minus .02275 = .97725.
\n" ); document.write( "the area between those 2 z-scores is equal to .97725 minus .02275 = .95450.
\n" ); document.write( "your solution is that 95.450% of the data lies on the interval 2 standard deviations away from the mean.\r
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