document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1144770>Question 1144770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A list of 5 positive integers has all of the following properties: the only integer in the list that occurs more than once is 8, its median is 9, and the mean is 10. What is the largest possible integer that could appear on this list. </SPAN>\n" );
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document.write( "(1) There are 5 integers; in order they are A, B, C, D, and E.<br><BR>\n" );
document.write( "(2) The median is 9: A, B, 9, D, E<br><BR>\n" );
document.write( "(3) 8 is the only number that occurs more than once: 8, 8, 9, D, E<br><BR>\n" );
document.write( "(4) The mean is 10: (8+8+9+D+E)/5 = 10 --> D+E = 25<br><BR>\n" );
document.write( "The largest possible value for E is when D is as small as possible.  Since only 8 occurs more than once, D should be 10; that makes E 15.<br><BR>\n" );
document.write( "ANSWER: 15 </SPAN>\n" );
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