document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014006>Question 1014006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 'two teachers have classes of similar sizes. After final exams, the mean of the grades in each classes in 73%. However, one class has a standard deviation of 4% while the other's is 8%. In which class would a mark of 90% be more meaningful? Explain your reasoning.'\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630298 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=630298\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 'two teachers have classes of similar sizes. After final exams, the mean of the grades in each classes in 73%. However, one class has a standard deviation of 4% while the other's is 8%. In which class would a mark of 90% be more meaningful? Explain your reasoning.'<BR>\n" );
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document.write( "Compare the z-scores.<BR>\n" );
document.write( "(90-73)/4 = 17/4 = 4.25 standard deviations above the mean<BR>\n" );
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document.write( "(90-73)/8 = 17/8 = 2.625 standard deviations above the mean<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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