document.write( "Question 1138407: Consider a normal distribution curve where the middle 15 % of the area under the curve lies above the interval ( 6 , 17 ). Use this information to find the mean, μ , and the standard deviation, σ , of the distribution. \n" ); document.write( "
Algebra.Com's Answer #756294 by Boreal(15235)\"\" \"About 
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The middle 15% is between 0.4250 and 0.5750, and this is z between -0.19 and +0.19
\n" ); document.write( "z=(x-mean)/sd
\n" ); document.write( "The mean is middle of 6 and 17 or 11.5\r
\n" ); document.write( "\n" ); document.write( "SD--0.19=(17-11.5)/SD
\n" ); document.write( "0.19 SD=5.5
\n" ); document.write( "SD=28.95 or 29
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