document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035821>Question 1035821</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The arithmetic mean of 25 scores on a 100-point test is 87, and the arithmetic mean of 21 of these scores is 85. What is the largest possible difference between any two of the other four scores?<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 #650538 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650538\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 25 scores with a mean of 87 ==> the sum of the 25 scores is 2175.<BR>\n" );
document.write( "The 21 of the 25 scores having a mean of 85 ==> the sum of the 21 scores is 1785.\r<BR>\n" );
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document.write( "==> Four of the scores had a sum of 2175 - 1785 = 390.<BR>\n" );
document.write( "The mean of these four scores is 97.5.\r<BR>\n" );
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document.write( "The most a score can vary from 97.5 is 2.5 points. (Assuming that scoring more than 100 is not allowed.)\r<BR>\n" );
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document.write( "==> The lowest possible score from the fours scores is 95, while the highest possible is 100.\r<BR>\n" );
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document.write( "==> The largest possible difference between any two of the other four scores is 5. </SPAN>\n" );
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