document.write( "Question 772839: Based on the empirical rules, what percent of the observations in a data set will lie beyond two standard deviations above the mean? \n" ); document.write( "

Algebra.Com's Answer #471147 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
According to the empirical rule, or the 68-95-99.7 rule, roughly 95% of the distribution is within 2 standard deviations of the mean. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So 100 - 95 = 5% of the distribution is further than 2 standard deviations of the mean. Cut this in half to get 5/2 = 2.5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So 2.5% of the data will lie beyond two standard deviations above the mean.
\n" ); document.write( " \n" ); document.write( "

\n" );