document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=746941>Question 746941</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the mean is 40 with a standard deviation of 2, at least what fraction of the numbers are between 32 and 48 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454648 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=454648\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the mean is 40 with a standard deviation of 2, at least what fraction of the numbers are between 32 and 48<BR>\n" );
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document.write( "Sounds like a Chebyshev Problem.<BR>\n" );
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document.write( "(32-40)/2 = -4<BR>\n" );
document.write( "(48-40)/2 = 4<BR>\n" );
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document.write( "Ans: at least (1-(1/4)^2) = 0.9375 = 93.75% of the data.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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