document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=896886>Question 896886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Test scores on a test have a mean of 108 and a standard deviation of 18. According to Chebyshev's Theorum, 84% of the scores lie between ____ and ____. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #543937 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=543937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Test scores on a test have a mean of 108 and a standard deviation of 18. According to Chebyshev's Theorum, 84% of the scores lie between ____ and ____.<BR>\n" );
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document.write( "Chebychev Formula::<BR>\n" );
document.write( "At least (1-(1/n)^2)% of data lies within n standard deviations of the mean.<BR>\n" );
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document.write( "Solve (1 - (1/n)^2) = 0.84<BR>\n" );
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document.write( "(1/n)^2 = 0.16<BR>\n" );
document.write( "1/n = 0.4<BR>\n" );
document.write( "n = 2.5 standard deviations<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Ans:<BR>\n" );
document.write( "Lower Limit:: 108-2.5*18 = 63<BR>\n" );
document.write( "Upper Limit:: 108+2.5*18 = 153<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==================== </SPAN>\n" );
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