document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132830>Question 1132830</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi again! The notes my professor gave me are sorta helpful but I’m no quite understanding it. The question is:\r<BR>\n" );
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document.write( "In a class of 24 students, if the mean on a 100 point test is 77, is it possible that 18 students got a score of 55 or below?\r<BR>\n" );
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document.write( "Thank you in advance :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749968 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=749968\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the class is 24 students.<BR>\n" );
document.write( "if the mean is 77, then the total points scored by all students has to be 24 * 77 = 1848.<BR>\n" );
document.write( "if 18 students got a score of 55 or below, the highest total points for the 18 students has to be 18 * 55 = 990.<BR>\n" );
document.write( "1848 minus 990 = 858.<BR>\n" );
document.write( "24 - 18 = 6.<BR>\n" );
document.write( "that means that 6 students must have scored a total of 858 points or more.<BR>\n" );
document.write( "858 / 6 = 143<BR>\n" );
document.write( "that means the average score of the 6 students had to be 143.<BR>\n" );
document.write( "since 100 is the highest score that any student can achieve, this is not possible.\r<BR>\n" );
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document.write( "not sure if this is what your teacher was trying to teach you, but this is how i looked at it.\r<BR>\n" );
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document.write( "i tried to look at it from a statistical standpoint, but i couldn't see how the standard deviation could be calculated since it doesn't appear that you have enough information to determine that.\r<BR>\n" );
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document.write( "if you send me the information your instructor gave you, i might be able to figure it out.\r<BR>\n" );
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document.write( "logically it makes sense that it's not possible, but that may not be the way your professor wanted you to solve it.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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