document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1134236>Question 1134236</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! Looking at my teachers notes, they do not make sense. I am also waiting on an emai from her for extra help, but I figure ask here as well since I’ve gotten help before and it does help reading this and asking my teacher. The question is:\r<BR>\n" );
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document.write( "A class of 28 students took a 100 point test. If the mean was 68, is it possible that 23 of the students got a score of 63 or lower?\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751553 by </B><A HREF=/tutors/aboutme.mpl?userid=Glaviolette><B>Glaviolette(140)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Glaviolette><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=Glaviolette><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751553\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the mean is 68, that means the sum of the scores would be 28*68 = 1904.  Let's use the maximum value allowed of 63.  If 23 scores were 63, 23*63 = 1449.  Subtracting that from 1904 leaves 455 \"points\" to be scored among the remaining 5 students.  This works out to an average of 91 points per student, so yes it is possible.  \r<BR>\n" );
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document.write( "Those 23 scores wouldn't be able to be much lower than 63.  The remaining 5 students could get a max of 100 points each, for a total of 500 points.  So that would leave 1904-500=1404 for the 23 students.  1404/23 is about 61 points per student. </SPAN>\n" );
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