document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=797349>Question 797349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The mean value of the scores in a math exam was 71 with a standard deviation of 6. Between 58and 84 there are at least ___% of the scores in that exam. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #481783 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=481783\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The mean value of the scores in a math exam was 71 with a standard deviation of 6. Between 58and 84 there are at least ___% of the scores in that exam.<BR>\n" );
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document.write( "Sounds like a Chebyshev problem::<BR>\n" );
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document.write( "58 is 2 standard deviations below 71<BR>\n" );
document.write( "84 is 2 standard deviations above 71<BR>\n" );
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document.write( "At least (1-(1/2)^2)) = 0.75 = 75% of the data lies between those values.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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